
Time bar (total: 8.8s)
| 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)
| 2.5s | 13 196× | 0 | invalid |
| 1.2s | 8 256× | 0 | valid |
ival-sub!: 762.0ms (27.1% of total)ival-pow: 697.0ms (24.8% of total)ival-mult!: 585.0ms (20.8% of total)ival-div!: 519.0ms (18.4% of total)ival-pow2: 247.0ms (8.8% of total)adjust: 4.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 63 | 0 | - | 5 | (-7.622725075181732e-267 -2.592553201668078e+49 -5.344456635707609e+162 5.882931042609435e+267 7.03498677602162e-300) | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 62 | 0 | - | 1 | (3.2676550909666677e-125 9.157648721177788e+288 8.009939402074293e+187 3.6376921996962244e-233 5.100905534936586e+130) | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 35 | 0 | - | 0 | - | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
| 18 | 0 | - | 1 | (1.6353220898345308e-71 5.952710573756189e-300 2.968050817144608e-66 4.4374347629702093e-162 5.504571892294151e-149) | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 16 | 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 h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 35 | 0 |
| ↳ | (/.f64 d h) | overflow | 35 | |
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 32 | 0 |
| ↳ | (/.f64 d l) | overflow | 32 | |
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 29 | 0 |
| ↳ | (/.f64 d l) | underflow | 29 | |
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 23 | 0 |
| ↳ | (/.f64 d h) | underflow | 23 | |
*.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 | 12 | 0 |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | o/n | 10 | 0 |
| ↳ | (*.f64 M D) | overflow | 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)))) | n*o | 9 | 0 |
*.f64 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | u*o | 5 | 0 |
| ↳ | (/.f64 d h) | underflow | 23 | |
| ↳ | (/.f64 d l) | underflow | 29 | |
| ↳ | (*.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 | 12 | |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 85 | |
| ↳ | (/.f64 h l) | overflow | 29 | |
| ↳ | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) | overflow | 84 | |
| ↳ | (*.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 | 84 | |
| ↳ | (*.f64 M D) | overflow | 36 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 40 | |
| ↳ | (*.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 | 85 | |
| ↳ | (*.f64 #s(literal 2 binary64) d) | overflow | 1 | |
*.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 |
*.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 | 2 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 85 | |
| ↳ | (*.f64 M D) | overflow | 36 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 40 | |
| ↳ | (*.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 | 85 | |
| ↳ | (*.f64 #s(literal 2 binary64) d) | overflow | 1 | |
| ↳ | (/.f64 h l) | underflow | 23 | |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | u/n | 2 | 0 |
| ↳ | (*.f64 M D) | underflow | 29 | |
*.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)) | u*o | 1 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | underflow | 87 | |
| ↳ | (*.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))) | underflow | 87 | |
| ↳ | (*.f64 M D) | underflow | 29 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | underflow | 50 | |
| ↳ | (/.f64 h l) | overflow | 29 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 85 | 5 |
| - | 36 | 130 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 85 | 0 | 5 |
| - | 36 | 0 | 130 |
| number | freq |
|---|---|
| 0 | 135 |
| 1 | 85 |
| 2 | 31 |
| 3 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 87.0ms | 512× | 0 | valid |
Compiled 347 to 70 computations (79.8% saved)
ival-pow: 20.0ms (37.7% of total)ival-mult!: 12.0ms (22.6% of total)ival-div!: 11.0ms (20.7% of total)ival-pow2: 9.0ms (17% of total)ival-sub!: 1.0ms (1.9% of total)adjust: 0.0ms (0% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 171 | 588 |
| 1 | 546 | 580 |
| 2 | 2128 | 575 |
| 3 | 6640 | 575 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.1% | (*.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)))) |
(abs M)
(abs D)
(sort M D)
Compiled 70 to 44 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 | |
|---|---|---|---|---|
| 11.0ms | 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)) |
| 9.0ms | 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)) |
| 7.0ms | 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)) |
| 6.0ms | 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 1681 |
| 0 | 254 | 1533 |
| 0 | 989 | 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 |
(pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64)) |
(cosh.f64 #s(literal 0 binary64)) |
(sqrt.f64 #s(literal 1 binary64)) |
(exp.f64 #s(literal 0 binary64)) |
#s(literal 1 binary64) |
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 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))))))) |
(fma.f64 #s(literal 1 binary64) #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 #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 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) #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 (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 (* (* (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 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) (*.f64 d d) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64))) 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 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) |
#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)))) |
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d)) #s(literal 1/8 binary64))) |
#s(approx (pow (/ (* M D) (* 2 d)) 2) (*.f64 #s(literal 1/4 binary64) (/.f64 (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 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) 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 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) 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 (/.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(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 (*.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)))) #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)) (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 (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 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)))) (fma.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d (*.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 (* (* (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 (/.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(literal -1/8 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 5 579 to 649 computations (88.4% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 120 | 17 | 137 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 121 | 17 | 138 |
| Status | Accuracy | Program |
|---|---|---|
| 55.7% | (*.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)))) | |
| 56.2% | (*.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)))) #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))) | |
| 25.3% | (*.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)))) #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)))) | |
| 38.8% | (*.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))) #s(literal 1 binary64))) | |
| ▶ | 34.1% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 66.1% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| ▶ | 66.7% | (*.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)))))) |
| 36.8% | (*.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)))) | |
| 34.4% | (*.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)))) | |
| 17.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (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))) | |
| ▶ | 52.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) |
| 15.4% | #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 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))) | |
| 32.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) | |
| ▶ | 19.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.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(literal -1/8 binary64))) |
| 18.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (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))) | |
| 26.5% | #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 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) | |
| ▶ | 24.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
Compiled 1 598 to 1 064 computations (33.4% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (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 (/.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(literal -1/8 binary64))) |
(*.f64 (*.f64 (/.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(literal -1/8 binary64)) |
(*.f64 (/.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 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(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)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h) |
(fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) |
(sqrt.f64 (/.f64 h l)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) |
(*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) |
(*.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 (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) -1/8) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* -1 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (* (pow (* D M) 2) -1) d) #s(hole binary64 (* -1 (/ (* (pow D 2) (pow M 2)) d)))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) #s(hole binary64 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))) |
#s(approx (/ (pow (* D M) 2) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d))) |
#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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* d (sqrt (/ h l))))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ h l)) #s(hole binary64 (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 (* (* (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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) -1/8) #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 M) 2) -1) d) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* (/ (* (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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #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 l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) #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 (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) #s(hole binary64 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (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 (* (* (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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) #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 (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) #s(hole binary64 (* -1 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#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 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 | |
|---|---|---|---|---|
| 77.0ms | l | @ | -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)))) (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) -1/8) (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) (/ (* (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 -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (/ (pow (* D M) 2) d) (* (* (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)) |
| 40.0ms | 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)))) (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) -1/8) (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) (/ (* (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 -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (/ (pow (* D M) 2) d) (* (* (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)) |
| 19.0ms | 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)))) (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) -1/8) (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) (/ (* (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 -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (/ (pow (* D M) 2) d) (* (* (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)))) (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) -1/8) (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) (/ (* (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 -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (/ (pow (* D M) 2) d) (* (* (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 | 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)))) (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) -1/8) (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) (/ (* (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 -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (sqrt (/ h l)) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (/ (pow (* D M) 2) d) (* (* (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 | 560 | 7282 |
| 0 | 648 | 6529 |
| 0 | 2249 | 6463 |
| 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))) |
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M |
#s(literal 2 binary64) |
(/.f64 D d) |
D |
#s(literal 1/2 binary64) |
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(*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d) |
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(*.f64 l h) |
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#s(literal 3 binary64) |
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(*.f64 M D) |
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#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)))))))) |
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#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 (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) -1/8) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* -1 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (* (pow (* D M) 2) -1) d) #s(hole binary64 (* -1 (/ (* (pow D 2) (pow M 2)) d)))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) #s(hole binary64 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3)))))) |
#s(approx (/ (pow (* D M) 2) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d))) |
#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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* d (sqrt (/ h l))))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ h l)) #s(hole binary64 (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 (* (* (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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) -1/8) #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 M) 2) -1) d) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* (/ (* (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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #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 l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) #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 (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) #s(hole binary64 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (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 (* (* (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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) #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 (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) #s(hole binary64 (* -1 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#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 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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)))))) |
(fma.f64 #s(literal 1 binary64) #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))))) |
(fma.f64 #s(literal 1 binary64) #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 (*.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 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 #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) #s(literal 1 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64)) |
(cosh.f64 #s(literal 0 binary64)) |
(sqrt.f64 #s(literal 1 binary64)) |
(exp.f64 #s(literal 0 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 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 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 |
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
#s(literal 2 binary64) |
(/.f64 (neg.f64 D) (neg.f64 d)) |
(/.f64 D d) |
D |
(pow.f64 #s(literal 2 binary64) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) #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 (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) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) |
(pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(literal -1 binary64) #s(literal 1 binary64)) |
(neg.f64 #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) #s(literal 2 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)))) (*.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))) |
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#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (fma.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 (sqrt.f64 (/.f64 h l)) d))) |
#s(approx (sqrt (/ h l)) (sqrt.f64 (/.f64 h l))) |
#s(approx (sqrt (pow (/ h l) 3)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) |
#s(approx (pow (/ h l) 3) (pow.f64 (/.f64 h 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 (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 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) 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)) |
#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 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (*.f64 h h) (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #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)))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) 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 (/.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)) (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64))) |
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#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 (/.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 (* (sqrt (pow (* l h) -1)) d) (*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
#s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (pow l 3)))) -1/8) (*.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 M) 2) -1) d) (sqrt (/ h (pow l 3)))) (*.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(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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (/ h l)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 h l))))) |
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) (*.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 (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) (*.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(approx (sqrt (pow (/ h l) 3)) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 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)))) (*.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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d (*.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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d (*.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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (fma.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d (*.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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d (*.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 (* (* (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 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 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)))) |
#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 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 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)))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (*.f64 d (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (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 (/ h l)) (neg.f64 (sqrt.f64 (/.f64 h l)))) |
#s(approx (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8) (*.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 (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) (neg.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(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 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 18 487 to 1 851 computations (90% saved)
32 alts after pruning (32 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 337 | 29 | 366 |
| Fresh | 9 | 3 | 12 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 351 | 32 | 383 |
| Status | Accuracy | Program |
|---|---|---|
| 55.7% | (*.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)))) | |
| 34.2% | (*.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)))) | |
| 35.5% | (*.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)))))) | |
| ▶ | 33.0% | (*.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)))))) |
| 54.7% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 D d) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) | |
| ▶ | 66.7% | (*.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)))))) |
| 55.5% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d)) #s(literal 1/8 binary64))))))) | |
| 25.3% | (*.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))))) | |
| 16.7% | (*.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))))) | |
| 26.5% | (*.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 #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)))) | |
| 15.6% | (*.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)))))) | |
| 7.3% | (*.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)))) | |
| 38.8% | (*.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)))) | |
| 37.2% | (*.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)))) | |
| 17.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (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))) | |
| 61.6% | #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 (sqrt.f64 (/.f64 h l)) d (*.f64 (/.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) #s(literal -1/8 binary64))) h)) | |
| 52.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) #s(literal -1/8 binary64))) h)) | |
| 40.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) #s(literal -1/8 binary64))) h)) | |
| ▶ | 47.6% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) |
| 25.6% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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))) h)) | |
| 38.2% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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)) | |
| 38.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 11.6% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) | |
| 24.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) | |
| 20.2% | #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 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d) #s(literal -1/8 binary64))) | |
| 24.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) | |
| 19.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #s(literal -1/8 binary64))) | |
| ▶ | 26.5% | #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 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) |
| 24.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) | |
| ▶ | 24.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 23.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d)) | |
| 26.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d)) |
Compiled 3 174 to 2 100 computations (33.8% 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 (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 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 d) (sqrt.f64 l)) |
(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 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 (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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) (sqrt 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) (sqrt 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) (sqrt l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (sqrt d) #s(hole binary64 (sqrt 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (* (/ (sqrt d) (sqrt 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* d (sqrt (/ h l))))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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) (sqrt 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) (sqrt 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) (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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) (sqrt 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #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 l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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 (sqrt l) #s(hole binary64 (sqrt 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (sqrt l) #s(hole binary64 (* -1 (* (sqrt l) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 | |
|---|---|---|---|---|
| 56.0ms | D | @ | 0 | ((* (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) (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l) (- 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/ (+ (* (* (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)) |
| 30.0ms | 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) (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l) (- 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/ (+ (* (* (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)) |
| 11.0ms | 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) (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l) (- 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/ (+ (* (* (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)) |
| 10.0ms | d | @ | 0 | ((* (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) (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l) (- 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/ (+ (* (* (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)) |
| 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) (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/ (sqrt d) (sqrt l)) (sqrt d) (sqrt l) (- 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)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/ (+ (* (* (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 | 623 | 9202 |
| 0 | 698 | 8076 |
| 0 | 2561 | 7949 |
| 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 (*.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 (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 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 d) (sqrt.f64 l)) |
(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 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 (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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) |
#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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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) (sqrt 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) (sqrt 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) (sqrt l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (sqrt d) #s(hole binary64 (sqrt 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (* (/ (sqrt d) (sqrt 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* d (sqrt (/ h l))))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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) (sqrt 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) (sqrt 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) (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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) (sqrt 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #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 l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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 (sqrt l) #s(hole binary64 (sqrt 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (sqrt l) #s(hole binary64 (* -1 (* (sqrt l) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) (sqrt 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) #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 (*.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 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))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.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)) |
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(/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) d) |
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d) |
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(exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 3 binary64) #s(literal 2 binary64)) |
#s(literal 3/2 binary64) |
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#s(literal -1/8 binary64) |
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#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))) d)) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))) d)) |
#s(approx (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l))) |
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#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(literal 1 binary64)) |
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#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
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#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h l))) d)) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h l))) d)) |
#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)))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.f64 (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h l))) (*.f64 d d))) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (*.f64 (neg.f64 d) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.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)))) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))) |
#s(approx (sqrt (/ d h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)))) |
#s(approx (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))) |
#s(approx (* (/ (sqrt d) (sqrt 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) (sqrt l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))) |
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#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (*.f64 (neg.f64 d) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.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)))) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (*.f64 (neg.f64 d) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.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)))) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))) |
#s(approx (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))) |
#s(approx (* (/ (sqrt d) (sqrt 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) (sqrt l)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))) |
#s(approx (sqrt d) (neg.f64 (*.f64 (sqrt.f64 d) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal 1/8 binary64) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d))) #s(literal 1/8 binary64) (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))) d) (*.f64 (neg.f64 d) (fma.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d))) #s(literal 1/8 binary64) (neg.f64 (sqrt.f64 (/.f64 h l)))))) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx h h) |
#s(approx (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (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)) |
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#s(approx (sqrt (pow (* l h) -1)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))) |
#s(approx (pow (* l h) -1) (pow.f64 (*.f64 l h) #s(literal -1 binary64))) |
#s(approx (* l h) (*.f64 l h)) |
#s(approx (sqrt (pow (* l h) -1)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))) |
#s(approx (pow (* l h) -1) (pow.f64 (*.f64 l h) #s(literal -1 binary64))) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 d l)))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))) |
#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 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))) |
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) |
#s(approx (pow (/ h l) 3/2) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) |
#s(approx (sqrt (/ h l)) (sqrt.f64 (/.f64 h l))) |
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#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (*.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)) |
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#s(approx (* (/ (sqrt d) (sqrt 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)) |
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#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (*.f64 h h) (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)))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (*.f64 (*.f64 h h) (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)))) |
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#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (*.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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (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 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64)))))) h))) |
#s(approx (sqrt (/ d h)) (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64))) |
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#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 h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (*.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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (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 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64)))))) h))) |
#s(approx (* (sqrt (/ 1 (* l h))) d) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (* (* -1 d) (sqrt (pow (* l h) -1))) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
#s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (*.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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (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 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64)))))) h))) |
#s(approx (* (/ (sqrt d) (sqrt 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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))) (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))))) h))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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)))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64)))))) (*.f64 h h))) |
#s(approx (/ (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) d) (*.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)))) |
#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 (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 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64)))))) (*.f64 h h))) |
#s(approx (+ (* (* (pow (/ h l) 3/2) (pow (* D M) 2)) -1/8) (* (sqrt (/ h l)) (* d d))) (*.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)))) |
#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 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 d d) #s(literal -1 binary64)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64)))))) (*.f64 h h))) |
#s(approx (* (pow (/ h l) 3/2) (pow (* D M) 2)) (*.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) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1 binary64))) |
#s(approx (* (sqrt (/ h l)) (* d d)) (neg.f64 (*.f64 (*.f64 d d) (neg.f64 (sqrt.f64 (/.f64 h l)))))) |
#s(approx (sqrt (/ h l)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 h l))))) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (/.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) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (sqrt.f64 (/.f64 l (pow.f64 d #s(literal 3 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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (/.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 h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (/.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) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (sqrt.f64 (/.f64 l (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) d))) (*.f64 l l))) |
#s(approx (sqrt l) (sqrt.f64 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#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 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#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) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l)) (*.f64 (sqrt.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h)) (*.f64 d d))) (*.f64 l l))) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (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 (*.f64 l h) #s(literal -1/2 binary64)) d))) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (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 (*.f64 l h) #s(literal -1/2 binary64)) d))) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (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 (*.f64 l h) #s(literal -1/2 binary64)) d))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (*.f64 l h) #s(literal -1/2 binary64)) d))) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (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 (* (/ (sqrt d) (sqrt 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) (sqrt 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 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))) |
#s(approx (/ (sqrt d) (sqrt l)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))))) (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 (sqrt l) (neg.f64 (*.f64 (sqrt.f64 l) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) h) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) |
#s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) 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) (sqrt 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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) 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 h)) (* (/ (sqrt d) (sqrt 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) 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) (sqrt 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) 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) (sqrt 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 (* (sqrt (/ d h)) (* (/ (sqrt d) (sqrt 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) 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 h)) (* (/ (sqrt d) (sqrt 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) 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) (sqrt 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 (/ (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) 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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 21 379 to 1 990 computations (90.7% saved)
35 alts after pruning (34 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 349 | 23 | 372 |
| Fresh | 16 | 11 | 27 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 369 | 35 | 404 |
| Status | Accuracy | Program |
|---|---|---|
| 55.7% | (*.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)))) | |
| 34.2% | (*.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)))) | |
| 37.8% | (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 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)))))) | |
| 35.5% | (*.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)))))) | |
| 33.0% | (*.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)))))) | |
| 65.6% | (*.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 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) | |
| 66.5% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M #s(literal 2 binary64)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) #s(literal 1/2 binary64)))))) | |
| ▶ | 66.7% | (*.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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1/2 binary64)))))) |
| 54.7% | (*.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 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) | |
| 55.5% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) #s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.f64 d d))))))) | |
| 25.3% | (*.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))))) | |
| 16.7% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt 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 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))))) | |
| 26.5% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt 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)))) | |
| 15.6% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt l)) (- 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)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))))) | |
| 7.3% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))) | |
| 38.8% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l)))) | |
| 37.2% | (*.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)))) | |
| 17.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (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))) | |
| 47.6% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) | |
| 47.6% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 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)) | |
| 23.4% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.f64 #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) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (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))) (*.f64 d d))) (*.f64 h h))) d)) h)) | |
| 28.1% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) | |
| 10.8% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) | |
| 38.2% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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)) | |
| 38.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 11.6% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) | |
| ▶ | 26.5% | #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)) (neg.f64 d))) |
| ▶ | 20.2% | #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 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d) #s(literal -1/8 binary64))) |
| ▶ | 24.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
| ▶ | 19.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #s(literal -1/8 binary64))) |
| 24.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) | |
| 24.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d)) | |
| ✓ | 24.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 23.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d)) | |
| 26.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) |
Compiled 3 602 to 2 336 computations (35.1% 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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1/2 binary64))) |
(/.f64 h l) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) |
(*.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 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) |
(/.f64 D (*.f64 #s(literal 2 binary64) d)) |
(*.f64 #s(literal 2 binary64) 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 (/.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 (* (* (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)) (neg.f64 d))) |
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (neg.f64 d)) |
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(neg.f64 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 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #s(literal -1/8 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #s(literal -1/8 binary64)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) |
(/.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) |
#s(literal -1 binary64) |
(sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l))) |
(/.f64 h (*.f64 (*.f64 l l) l)) |
(*.f64 (*.f64 l l) l) |
(*.f64 l l) |
#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)))) (*.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d) #s(literal -1/8 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d) #s(literal -1/8 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d) |
(*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) |
(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) |
| Outputs |
|---|
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) #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 (* M (/ D (* 2 d))) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (/ D (* 2 d)) #s(hole binary64 (* 1/2 (/ D 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 (* -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 (* (pow (* l h) -1/2) (neg d)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (neg d) #s(hole binary64 (* -1 d))) |
#s(approx (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) -1/8) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) #s(hole binary64 (* -1 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (* (pow (* D M) 2) -1) d) #s(hole binary64 (* -1 (/ (* (pow D 2) (pow M 2)) d)))) |
#s(approx (* (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) -1/8) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) #s(hole binary64 (* -1 (* (/ (* (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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 1/2)))) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 1/2))) #s(hole binary64 1)) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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 (pow (* l h) -1/2) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (sqrt (/ h (* (* l l) l))) #s(hole binary64 (sqrt (/ h (pow l 3))))) |
#s(approx (/ h (* (* l l) l)) #s(hole binary64 (/ h (pow l 3)))) |
#s(approx (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* -1 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))))) |
#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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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 (* l h)) #s(hole binary64 (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))))) |
#s(approx (* (pow (* l h) -1/2) (neg d)) #s(hole binary64 (* -1 (* (* 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 (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) -1/8) #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 M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) #s(hole binary64 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))) |
#s(approx (sqrt (/ h (* (* l l) l))) #s(hole binary64 (* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2))))) |
#s(approx (* (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) -1/8) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) #s(hole binary64 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))) |
#s(approx (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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 (* (* l l) l) #s(hole binary64 (pow l 3))) |
#s(approx (* l l) #s(hole binary64 (pow l 2))) |
#s(approx (pow l 3) #s(hole binary64 (pow l 3))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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 (/ 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 (neg (pow (* D M) 2)) #s(hole binary64 (* -1 (* (pow D 2) (pow M 2))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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 D #s(hole binary64 D)) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)))))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | h | @ | -inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2) (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 (* M (/ D (* 2 d))) (/ D (* 2 d)) (* 2 d) 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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (* l h) -1/2) (neg d)) (pow (* l h) -1/2) -1/2 (neg d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) -1/8) (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) -1 (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) -1/8) (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3) |
| 38.0ms | l | @ | -inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2) (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 (* M (/ D (* 2 d))) (/ D (* 2 d)) (* 2 d) 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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (* l h) -1/2) (neg d)) (pow (* l h) -1/2) -1/2 (neg d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) -1/8) (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) -1 (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) -1/8) (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3) |
| 12.0ms | D | @ | inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2) (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 (* M (/ D (* 2 d))) (/ D (* 2 d)) (* 2 d) 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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (* l h) -1/2) (neg d)) (pow (* l h) -1/2) -1/2 (neg d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) -1/8) (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) -1 (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) -1/8) (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3) |
| 10.0ms | d | @ | 0 | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2) (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 (* M (/ D (* 2 d))) (/ D (* 2 d)) (* 2 d) 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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (* l h) -1/2) (neg d)) (pow (* l h) -1/2) -1/2 (neg d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) -1/8) (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) -1 (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) -1/8) (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3) |
| 9.0ms | M | @ | inf | ((* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2))))) (sqrt (/ d h)) (/ d h) d h (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)))) (sqrt (/ d l)) (/ d l) l (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2))) 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)) (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2) (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 (* M (/ D (* 2 d))) (/ D (* 2 d)) (* 2 d) 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) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (* l h) -1/2) (neg d)) (pow (* l h) -1/2) -1/2 (neg d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) -1/8) (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) (/ (* (pow (* D M) 2) -1) d) (* (pow (* D M) 2) -1) (pow (* D M) 2) (* D M) -1 (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) -1/8 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) -1/8) (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 436 | 4595 |
| 0 | 507 | 3932 |
| 0 | 1790 | 3896 |
| 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 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1/2 binary64))) |
(/.f64 h l) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) |
(*.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 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) |
(/.f64 D (*.f64 #s(literal 2 binary64) d)) |
(*.f64 #s(literal 2 binary64) 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 (/.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 (* (* (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)) (neg.f64 d))) |
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (neg.f64 d)) |
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(neg.f64 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 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #s(literal -1/8 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #s(literal -1/8 binary64)) |
(*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) |
(/.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) |
#s(literal -1 binary64) |
(sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l))) |
(/.f64 h (*.f64 (*.f64 l l) l)) |
(*.f64 (*.f64 l l) l) |
(*.f64 l l) |
#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)))) (*.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d) #s(literal -1/8 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d) #s(literal -1/8 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d) |
(*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) |
(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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) #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 (* M (/ D (* 2 d))) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (/ D (* 2 d)) #s(hole binary64 (* 1/2 (/ D 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 (* -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 (* (pow (* l h) -1/2) (neg d)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (neg d) #s(hole binary64 (* -1 d))) |
#s(approx (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) -1/8) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) #s(hole binary64 (* -1 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (* (pow (* D M) 2) -1) d) #s(hole binary64 (* -1 (/ (* (pow D 2) (pow M 2)) d)))) |
#s(approx (* (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) -1/8) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) #s(hole binary64 (* -1 (* (/ (* (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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 1/2)))) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 1/2))) #s(hole binary64 1)) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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 (pow (* l h) -1/2) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (sqrt (/ h (* (* l l) l))) #s(hole binary64 (sqrt (/ h (pow l 3))))) |
#s(approx (/ h (* (* l l) l)) #s(hole binary64 (/ h (pow l 3)))) |
#s(approx (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* -1 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))))) |
#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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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 (* l h)) #s(hole binary64 (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))))) |
#s(approx (* (pow (* l h) -1/2) (neg d)) #s(hole binary64 (* -1 (* (* 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 (* (* (/ (* (pow (* D M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) -1/8) #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 M) 2) -1) d) (sqrt (/ h (* (* l l) l)))) #s(hole binary64 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))) |
#s(approx (sqrt (/ h (* (* l l) l))) #s(hole binary64 (* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2))))) |
#s(approx (* (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) -1/8) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) #s(hole binary64 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3)))))) |
#s(approx (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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 (* (* l l) l) #s(hole binary64 (pow l 3))) |
#s(approx (* l l) #s(hole binary64 (pow l 2))) |
#s(approx (pow l 3) #s(hole binary64 (pow l 3))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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 (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 1/2)))) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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 (/ 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 (neg (pow (* D M) 2)) #s(hole binary64 (* -1 (* (pow D 2) (pow M 2))))) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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 D #s(hole binary64 D)) |
#s(approx (* (sqrt (/ d h)) (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)) (* M (/ D (* 2 d)))) 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)))))))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l))) (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 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h 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 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)))))) |
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 h l))) |
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 h l))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64)) |
(cosh.f64 #s(literal 0 binary64)) |
(sqrt.f64 #s(literal 1 binary64)) |
(exp.f64 #s(literal 0 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) |
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) #s(literal 2 binary64)) (/.f64 h l))) |
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D |
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M |
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64)) |
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#s(literal 2 binary64) |
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#s(literal 1/2 binary64) |
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#s(literal -1 binary64) |
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(*.f64 (*.f64 l l) l) |
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#s(literal -1/8 binary64) |
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#s(literal 3 binary64) |
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#s(approx (sqrt (/ d h)) (sqrt.f64 (/.f64 d h))) |
#s(approx (/ d h) (/.f64 d h)) |
#s(approx d d) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))))) |
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#s(approx (sqrt (/ d l)) (sqrt.f64 (/.f64 d l))) |
#s(approx (/ d l) (/.f64 d l)) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) |
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#s(approx (* M (/ D (* 2 d))) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))) |
#s(approx (/ D d) (/.f64 D d)) |
#s(approx (* M (/ D (* 2 d))) (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))) |
#s(approx (/ D (* 2 d)) (*.f64 (/.f64 D 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 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) #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)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) (*.f64 d d))) d)) |
#s(approx (* (/ 1 (sqrt (* l h))) d) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d)) |
#s(approx (* (pow (* l h) -1/2) (neg d)) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
#s(approx (neg d) (neg.f64 d)) |
#s(approx (* (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) -1/8) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)))) |
#s(approx (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) (*.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) d))) |
#s(approx (/ (* (pow (* D M) 2) -1) d) (/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d)) |
#s(approx (* (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) -1/8) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)))) |
#s(approx (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) (*.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 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 (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 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))) d)) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64))) (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 l d) #s(literal -1 binary64)))) d)) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2))) #s(literal 1 binary64)) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #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)))) (*.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 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (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)))) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (sqrt.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 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) #s(literal -1 binary64))))) |
#s(approx (sqrt (/ d h)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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)) (neg.f64 (*.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)))) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (sqrt.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 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 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)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) |
#s(approx h h) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)))) (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h)) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 d l)))) |
#s(approx (/ h l) (/.f64 h l)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) 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 (pow (* l h) -1/2) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))) |
#s(approx (sqrt (/ h (* (* l l) l))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
#s(approx (/ h (* (* l l) l)) (/.f64 h (pow.f64 l #s(literal 3 binary64)))) |
#s(approx (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))))) |
#s(approx (sqrt (/ h (* (* l l) l))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
#s(approx (/ h (* (* l l) l)) (/.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 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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 M D) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 h #s(literal -1 binary64)) (sqrt.f64 (/.f64 d l)))) h)) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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 (* (* (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 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 M D) #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 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (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 M D) #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))) (neg.f64 d)))) h))) |
#s(approx (sqrt (/ d h)) (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) #s(literal 1/8 binary64) (neg.f64 (*.f64 (pow.f64 h #s(literal -1 binary64)) (sqrt.f64 (/.f64 d l))))) h))) |
#s(approx (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (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 M D) #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))) (neg.f64 d)))) h))) |
#s(approx (sqrt (* l h)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
#s(approx (* (pow (* l h) -1/2) (neg d)) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))) |
#s(approx (pow (* l h) -1/2) (*.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
#s(approx (* (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) -1/8) (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/8 binary64)))) |
#s(approx (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) (*.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) d))) |
#s(approx (sqrt (/ h (* (* l l) l))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal -1 binary64)))) |
#s(approx (* (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) -1/8) (*.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/8 binary64)))) |
#s(approx (/ (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) d) (*.f64 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) d))) |
#s(approx (* (neg (pow (* D M) 2)) (sqrt (/ h (pow l 3)))) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))))) |
#s(approx (sqrt (/ h (* (* l l) l))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 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)))) (/.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 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2))) (/.f64 (-.f64 l (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #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 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l))) |
#s(approx (* (* l l) l) (pow.f64 l #s(literal 3 binary64))) |
#s(approx (* l l) (*.f64 l l)) |
#s(approx (* (* l l) l) (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)))) (fma.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) #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)))) (fma.f64 (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)) d (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) #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)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.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 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/8 binary64)) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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 (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 (neg.f64 d) (pow.f64 (sqrt.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 (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64))) d) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal -1/8 binary64)) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64))))) |
#s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) |
#s(approx M M) |
#s(approx (neg (pow (* D M) 2)) (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) |
#s(approx (pow (* D M) 2) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) |
#s(approx (* D M) (*.f64 M D)) |
#s(approx (neg (pow (* D M) 2)) (neg.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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 (* (* (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 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.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 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 D D))) |
#s(approx (* (sqrt (/ d l)) (- 1 (* (/ h l) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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) (* (* (* (/ D d) (/ M 2)) (* M (/ D (* 2 d)))) 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 (* (* (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 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) (*.f64 D D))) |
Compiled 13 205 to 1 463 computations (88.9% saved)
38 alts after pruning (35 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 265 | 13 | 278 |
| Fresh | 7 | 22 | 29 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 275 | 38 | 313 |
| Status | Accuracy | Program |
|---|---|---|
| 55.7% | (*.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)))) | |
| 34.2% | (*.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)))) | |
| 37.8% | (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 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)))))) | |
| 35.5% | (*.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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1/2 binary64)))))) | |
| 33.0% | (*.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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1/2 binary64)))))) | |
| 65.6% | (*.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 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1/2 binary64)))))) | |
| 54.7% | (*.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 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) | |
| 66.7% | (*.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) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #s(literal 1/2 binary64)))))) | |
| 66.6% | (*.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 D (*.f64 #s(literal 2 binary64) d)) M) M) (/.f64 D (*.f64 #s(literal 2 binary64) d))) #s(literal 1/2 binary64)))))) | |
| 55.5% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) #s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.f64 d d))))))) | |
| 25.3% | (*.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))))) | |
| 16.7% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt 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 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))))) | |
| 26.5% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt 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)))) | |
| 15.6% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt l)) (- 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)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 l d) #s(literal 3 binary64)) #s(literal -1 binary64)))))) | |
| 7.3% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)))) | |
| 38.8% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt l)) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)))) (sqrt.f64 (/.f64 d l)))) | |
| 37.2% | (*.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)))) | |
| 17.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l))) | |
| 24.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 l h)))) | |
| 47.6% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) | |
| 47.6% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 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)) | |
| 23.4% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.f64 #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) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (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))) (*.f64 d d))) (*.f64 h h))) d)) h)) | |
| 28.1% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) | |
| 10.8% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) | |
| 38.2% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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)) | |
| 38.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 11.6% | #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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h)) | |
| ✓ | 26.5% | #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)) (neg.f64 d))) |
| 20.2% | #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 (*.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M D))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d) #s(literal -1/8 binary64))) | |
| 22.5% | #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) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) | |
| ✓ | 24.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
| 26.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64))) (neg.f64 d))) | |
| 19.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #s(literal -1/8 binary64))) | |
| 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 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #s(literal -1/8 binary64))) | |
| 24.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d)) | |
| ✓ | 24.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 23.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d)) | |
| 26.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
Compiled 6 084 to 1 790 computations (70.6% 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (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 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
(*.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) (sqrt 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)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) |
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(*.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) (sqrt 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 (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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/4 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/4 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 (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 #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)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt 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)))) |
(*.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 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal 1/8 binary64))) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#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 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 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 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.f64 #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) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (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))) (*.f64 d d))) (*.f64 h h))) d)) h)) |
| 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 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 (sqrt.f64 d) (sqrt.f64 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)))))) |
7 calls:
| 91.0ms | (*.f64 M D) |
| 68.0ms | h |
| 53.0ms | l |
| 48.0ms | (*.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)))) |
| 26.0ms | D |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.7% | 1 | (*.f64 M D) |
| 77.3% | 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)))) |
| 77.8% | 3 | d |
| 79.0% | 3 | h |
| 77.3% | 3 | l |
| 68.6% | 2 | M |
| 68.6% | 2 | 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (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 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
(*.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) (sqrt 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)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) |
#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 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #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)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #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)))) (*.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 (* (* (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)) (neg.f64 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 (neg.f64 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 (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 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) M) (/.f64 D (*.f64 #s(literal 2 binary64) d))) #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) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) 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 (*.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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.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 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.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 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M #s(literal 2 binary64)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) #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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 (*.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M D))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d) #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)))) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #s(literal -1/8 binary64))) |
(*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) |
#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 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) 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 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) #s(literal -1/8 binary64))) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d)) #s(literal 1/8 binary64))))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) #s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.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 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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))) 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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.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 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64))) (neg.f64 d))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 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)))))) |
#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 (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 (* (* (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 (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d) #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)))) (*.f64 (*.f64 (/.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(literal -1/8 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))) |
| 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 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) 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 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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)) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 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)))))) |
2 calls:
| 21.0ms | h |
| 18.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.8% | 3 | d |
| 73.4% | 2 | h |
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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (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 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
(*.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) (sqrt 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)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) |
#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 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #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)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #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)))) (*.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 (* (* (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)) (neg.f64 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 (neg.f64 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 (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 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) M) (/.f64 D (*.f64 #s(literal 2 binary64) d))) #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) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) 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 (*.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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.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 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.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 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M #s(literal 2 binary64)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) #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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 (*.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M D))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d) #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)))) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #s(literal -1/8 binary64))) |
(*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) |
#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 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) 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 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) #s(literal -1/8 binary64))) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d)) #s(literal 1/8 binary64))))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) #s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.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 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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))) 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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.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 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64))) (neg.f64 d))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 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)))))) |
#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 (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))) |
| 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 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) 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 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (/.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)))))) |
3 calls:
| 19.0ms | (*.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)))) |
| 16.0ms | l |
| 14.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.4% | 2 | l |
| 74.8% | 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)))) |
| 75.5% | 3 | d |
Compiled 37 to 32 computations (13.5% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (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 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
(*.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) (sqrt 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)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) |
#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 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #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)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #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)))) (*.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 (* (* (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)) (neg.f64 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 (neg.f64 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 (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 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) M) (/.f64 D (*.f64 #s(literal 2 binary64) d))) #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) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) 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 (*.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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.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 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.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 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M #s(literal 2 binary64)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) #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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 (*.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M D))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d) #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)))) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #s(literal -1/8 binary64))) |
(*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) |
#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 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) 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 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) #s(literal -1/8 binary64))) h)) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d)) #s(literal 1/8 binary64))))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) #s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (*.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 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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))) 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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.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 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/4 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/4 binary64))) (neg.f64 d))) |
| 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 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) 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 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) |
4 calls:
| 19.0ms | (*.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)))) |
| 17.0ms | h |
| 16.0ms | d |
| 13.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.8% | 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)))) |
| 73.1% | 3 | l |
| 71.2% | 2 | h |
| 73.3% | 3 | d |
Compiled 38 to 37 computations (2.6% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (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 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
(*.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) (sqrt 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)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) |
#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 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #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)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #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)))) (*.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 (* (* (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)) (neg.f64 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 (neg.f64 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 (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 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) M) (/.f64 D (*.f64 #s(literal 2 binary64) d))) #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) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) 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 (*.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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.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 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.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 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M #s(literal 2 binary64)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) #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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 M (/.f64 D (*.f64 #s(literal 2 binary64) d)))) #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 (*.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M D))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) d) #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)))) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #s(literal -1/8 binary64))) |
(*.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))))) |
| 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 (/.f64 D d) #s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M))) (*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) 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 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
1 calls:
| 11.0ms | (*.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 |
|---|---|---|
| 73.6% | 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 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (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 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
(*.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) (sqrt 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)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) |
#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 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #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)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #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)))) (*.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 (* (* (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)) (neg.f64 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 (neg.f64 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 (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 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) M) (/.f64 D (*.f64 #s(literal 2 binary64) d))) #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 (*.f64 (/.f64 D (*.f64 #s(literal 2 binary64) d)) M) M) (/.f64 D (*.f64 #s(literal 2 binary64) 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 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
1 calls:
| 6.0ms | (*.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 |
|---|---|---|
| 73.4% | 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 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (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 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
(*.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) (sqrt 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)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) |
#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 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #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)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #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)))) (*.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 (* (* (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)) (neg.f64 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 (neg.f64 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 (neg.f64 d) (pow.f64 (sqrt.f64 (*.f64 l h)) #s(literal -1 binary64)))) |
| 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 (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) d)) |
(*.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 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #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)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
7 calls:
| 9.0ms | (*.f64 M 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)))) |
| 6.0ms | l |
| 6.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.8% | 2 | (*.f64 M D) |
| 45.7% | 3 | M |
| 45.5% | 3 | D |
| 49.8% | 4 | h |
| 52.3% | 4 | l |
| 55.6% | 4 | d |
| 54.9% | 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (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 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
(*.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) (sqrt 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)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) |
#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 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #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)))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #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)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) 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 (/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #s(literal -1/8 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
2 calls:
| 5.0ms | d |
| 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 |
|---|---|---|
| 54.9% | 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)))) |
| 53.2% | 3 | d |
Compiled 36 to 27 computations (25% 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (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 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
(*.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) (sqrt 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)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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)) |
#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 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #s(literal -1/8 binary64))) |
| 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 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l)))) #s(literal -1/8 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
2 calls:
| 5.0ms | d |
| 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 |
|---|---|---|
| 51.5% | 4 | d |
| 52.6% | 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 36 to 27 computations (25% 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (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 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
(*.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) (sqrt 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)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
3 calls:
| 4.0ms | l |
| 4.0ms | d |
| 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 |
|---|---|---|
| 46.5% | 3 | d |
| 46.0% | 3 | l |
| 50.6% | 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 37 to 32 computations (13.5% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (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 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
(*.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) (sqrt 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)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (/ (sqrt d) (sqrt 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (/.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
2 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)))) |
| 4.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.5% | 2 | h |
| 48.5% | 4 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 36 to 27 computations (25% 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (neg.f64 d) (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 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 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 #s(approx (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
3 calls:
| 3.0ms | d |
| 3.0ms | (*.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 |
|---|---|---|
| 42.5% | 2 | (*.f64 M D) |
| 46.2% | 3 | d |
| 46.1% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 39 to 33 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
2 calls:
| 2.0ms | 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)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.1% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 43.7% | 3 | d |
Compiled 36 to 27 computations (25% 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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.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 (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 (+ (* (sqrt (/ h l)) d) (* (* (sqrt (pow (/ h l) 3)) (/ (pow (* D M) 2) d)) -1/8)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
5 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)))) |
| 2.0ms | D |
| 2.0ms | h |
| 2.0ms | M |
| 2.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.6% | 2 | h |
| 38.7% | 1 | D |
| 40.4% | 2 | M |
| 40.7% | 2 | l |
| 43.0% | 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 39 to 42 computations (-7.7% saved)
Total -0.0b remaining (-0.1%)
Threshold costs -0b (-0.1%)
| 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
7 calls:
| 8.0ms | M |
| 2.0ms | D |
| 2.0ms | d |
| 2.0ms | h |
| 2.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 24.7% | 1 | D |
| 24.7% | 1 | M |
| 24.7% | 1 | h |
| 24.7% | 1 | l |
| 24.7% | 1 | d |
| 24.7% | 1 | (*.f64 M D) |
| 24.7% | 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)))) |
Compiled 43 to 53 computations (-23.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | -3.51567020127719e-307 | 6.067348625453006e-308 |
| 54.0ms | -7.276068639007868e+67 | -8.048282470825e+63 |
| 32.0ms | 231× | 0 | invalid |
| 31.0ms | 240× | 0 | valid |
Compiled 1 167 to 925 computations (20.7% saved)
ival-div!: 16.0ms (34.4% of total)ival-pow: 14.0ms (30.1% of total)ival-mult!: 10.0ms (21.5% of total)ival-pow2: 5.0ms (10.7% of total)ival-sub!: 1.0ms (2.1% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 1.8626379421085456e-160 | 3.273215016640961e-159 |
| 43.0ms | -4.0041002781308675e-111 | -1.5236393248382644e-120 |
| 33.0ms | 256× | 0 | valid |
| 32.0ms | 240× | 0 | invalid |
Compiled 1 806 to 1 227 computations (32.1% saved)
ival-div!: 13.0ms (31.1% of total)ival-pow: 11.0ms (26.4% of total)ival-mult!: 11.0ms (26.4% of total)ival-pow2: 5.0ms (12% of total)ival-sub!: 1.0ms (2.4% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 88.0ms | -1.813646074000463e-301 | 4.459133016761431e-307 |
| 27.0ms | -1.5514525792126445e-26 | -1.875685230312105e-27 |
| 79.0ms | 240× | 0 | valid |
| 19.0ms | 205× | 0 | invalid |
Compiled 1 826 to 1 170 computations (35.9% saved)
ival-mult!: 58.0ms (69.5% of total)ival-pow: 10.0ms (12% of total)ival-div!: 9.0ms (10.8% of total)ival-pow2: 5.0ms (6% of total)ival-sub!: 1.0ms (1.2% of total)adjust: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 5.3989380592525647e+219 | 2.9735761915991e+241 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 5.3989380592525647e+219 | 2.9735761915991e+241 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 5.3989380592525647e+219 | 2.9735761915991e+241 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.813646074000463e-301 | 4.459133016761431e-307 |
| 53.0ms | -1.875685230312105e-27 | -1.482998112215771e-33 |
| 18.0ms | -1.1779672021378829e+126 | -8.296039223098094e+125 |
| 42.0ms | 208× | 0 | valid |
| 15.0ms | 163× | 0 | invalid |
Compiled 2 107 to 1 422 computations (32.5% saved)
ival-pow: 8.0ms (27% of total)ival-div!: 8.0ms (27% of total)ival-mult!: 8.0ms (27% of total)ival-pow2: 4.0ms (13.5% of total)ival-sub!: 1.0ms (3.4% of total)adjust: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 5.3989380592525647e+219 | 2.9735761915991e+241 |
| 0.0ms | -6.892969146316365e+51 | -1.3680872550921456e+39 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 5.3989380592525647e+219 | 2.9735761915991e+241 |
| 0.0ms | -6.892969146316365e+51 | -1.3680872550921456e+39 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 5.3989380592525647e+219 | 2.9735761915991e+241 |
| 0.0ms | -2.357234667818772e-78 | 0.0 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 5.3989380592525647e+219 | 2.9735761915991e+241 |
| 0.0ms | 1.5473234475629577e-245 | 2.700170137627983e-245 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 4.223377913695499e-122 | 1.7276454997173525e-120 |
| 27.0ms | -2.0060386468402363e-107 | -5.5164990132607794e-108 |
| 26.0ms | 226× | 0 | invalid |
| 24.0ms | 192× | 0 | valid |
Compiled 1 521 to 949 computations (37.6% saved)
ival-pow2: 9.0ms (25.3% of total)ival-div!: 9.0ms (25.3% of total)ival-mult!: 9.0ms (25.3% of total)ival-pow: 8.0ms (22.5% of total)ival-sub!: 1.0ms (2.8% of total)adjust: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | -2.357234667818772e-78 | 0.0 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5473234475629577e-245 | 2.700170137627983e-245 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | fuel |
Compiled 3 469 to 244 computations (93% saved)
(sort M D)
(abs D)
(abs M)
Compiled 30 016 to 8 540 computations (71.5% saved)
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