
Time bar (total: 8.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 12.5% | 12.5% | 87.3% | 0.2% | 0% | 0% | 0% | 4 |
| 12.5% | 12.5% | 87.3% | 0.2% | 0% | 0% | 0% | 5 |
| 12.5% | 12.5% | 87.3% | 0.2% | 0% | 0% | 0% | 6 |
| 15.4% | 12.5% | 68.6% | 0.2% | 0% | 18.7% | 0% | 7 |
| 16.7% | 12.5% | 62.3% | 0.2% | 0% | 24.9% | 0% | 8 |
| 20% | 14% | 56.1% | 0.2% | 0% | 29.6% | 0% | 9 |
| 20% | 14% | 56.1% | 0.2% | 0% | 29.6% | 0% | 10 |
| 20% | 14% | 56.1% | 0.2% | 0% | 29.6% | 0% | 11 |
| 22.9% | 14.8% | 49.9% | 0.2% | 0% | 35.1% | 0% | 12 |
Compiled 37 to 24 computations (35.1% saved)
| 1.7s | 13 102× | 0 | invalid |
| 1.6s | 8 256× | 0 | valid |
ival-pow: 616.0ms (28.9% of total)ival-div!: 602.0ms (28.3% of total)ival-mult!: 572.0ms (26.9% of total)ival-pow2: 283.0ms (13.3% of total)ival-sub!: 50.0ms (2.3% of total)adjust: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 56 | 0 | - | 1 | (2.3533300963481472e-278 3.919122485349989e+178 3.5137272259432147e+36 -8.835247338880769e+263 1.1594967279940792e+89) | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 52 | 0 | - | 2 | (4.5840581105167124e-220 2.0728006280425613e+91 6.91235005433444e-95 -1.9509073511611583e-137 118.29391280953158) | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 36 | 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)) |
| 22 | 0 | - | 2 | (1.082375578516204e-152 1.7775707043356816e-118 9.465448892474772e+31 -1.3899405385961787e-33 -1.7782689978608016e-289) | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 18 | 0 | - | 1 | (7.179460531958331e-266 2.0612868440221542e-13 1.7983226079701587e+111 9.549167939449417e+172 -2.0593662597545128e-281) | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 0 | 0 | - | 0 | - | D |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) d) |
| 0 | 0 | - | 0 | - | (/.f64 h l) |
| 0 | 0 | - | 0 | - | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 d l) |
| 0 | 0 | - | 0 | - | (*.f64 M D) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 d h) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | l |
| 0 | 0 | - | 0 | - | (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | M |
| 0 | 0 | - | 0 | - | h |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | 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))) | oflow-rescue | 27 | 0 |
| ↳ | (/.f64 d h) | overflow | 27 | |
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 26 | 0 |
| ↳ | (/.f64 d l) | overflow | 26 | |
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 M D) (*.f64 #s(literal 2 binary64) d)) | o/n | 16 | 0 |
| ↳ | (*.f64 M D) | overflow | 37 | |
*.f64 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | n*o | 11 | 0 |
*.f64 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | u*o | 9 | 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 | 15 | |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 71 | |
| ↳ | (*.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 | 71 | |
| ↳ | (/.f64 h l) | overflow | 26 | |
| ↳ | (-.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 | 75 | |
| ↳ | (*.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 | 75 | |
| ↳ | (*.f64 M D) | overflow | 37 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 40 | |
*.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 | 6 | 0 |
*.f64 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | n*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 | 71 | |
| ↳ | (*.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 | 71 | |
| ↳ | (*.f64 M D) | overflow | 37 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 40 | |
| ↳ | (/.f64 h l) | underflow | 35 | |
*.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 | 69 | |
| ↳ | (*.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 | 70 | |
| ↳ | (*.f64 M D) | underflow | 19 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | underflow | 32 | |
| ↳ | (/.f64 h l) | overflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 71 | 0 |
| - | 36 | 149 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 71 | 0 | 0 |
| - | 36 | 0 | 149 |
| number | freq |
|---|---|
| 0 | 149 |
| 1 | 73 |
| 2 | 23 |
| 3 | 11 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 85.0ms | 512× | 0 | valid |
Compiled 347 to 70 computations (79.8% saved)
ival-pow: 19.0ms (34.1% of total)ival-div!: 16.0ms (28.7% of total)ival-mult!: 13.0ms (23.3% of total)ival-pow2: 6.0ms (10.8% of total)ival-sub!: 1.0ms (1.8% 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 |
|---|---|---|
| ▶ | 72.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(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 | |
|---|---|---|---|---|
| 30.0ms | 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)) |
| 28.0ms | 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 | d | @ | 0 | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l)) |
| 7.0ms | h | @ | 0 | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l)) |
| 6.0ms | l | @ | 0 | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 1681 |
| 0 | 254 | 1533 |
| 0 | 981 | 1518 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (* 2 d) #s(hole binary64 (* 2 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx h #s(hole binary64 h)) |
#s(approx (/ h l) #s(hole binary64 (/ h l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) |
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(sqrt.f64 (/.f64 d h)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 d) (neg.f64 h)) |
(/.f64 d h) |
d |
h |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 d) (sqrt.f64 l)) |
(sqrt.f64 (/.f64 d l)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 d) (neg.f64 l)) |
(/.f64 d l) |
l |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 h l))) |
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) |
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 2 binary64))) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) |
(/.f64 (neg.f64 (*.f64 D M)) (neg.f64 (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 D M) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(*.f64 d #s(literal 2 binary64)) |
(+.f64 d d) |
(/.f64 (neg.f64 h) (neg.f64 l)) |
(/.f64 h l) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) (*.f64 d d))) d)) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
#s(approx (pow (/ d h) (/ 1 2)) (sqrt.f64 (/.f64 d h))) |
#s(approx (/ d h) (/.f64 d h)) |
#s(approx d d) |
#s(approx (pow (/ d l) (/ 1 2)) (sqrt.f64 (/.f64 d l))) |
#s(approx (/ d l) (/.f64 d l)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 d d (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l))) (*.f64 d d))) |
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))) |
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 d d))) |
#s(approx (pow (/ (* M D) (* 2 d)) 2) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 d d))) |
#s(approx (/ (* M D) (* 2 d)) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) |
#s(approx (* 2 d) (*.f64 #s(literal 2 binary64) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))) d)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 d d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) d))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))) |
#s(approx (pow (/ d h) (/ 1 2)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h))))) |
#s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx h h) |
#s(approx (/ h l) (/.f64 h l)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) d)))) h))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) |
#s(approx (pow (/ d h) (/ 1 2)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#s(approx l l) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d))) l)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))))) |
#s(approx (pow (/ d l) (/ 1 2)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))) |
#s(approx (* M D) (*.f64 D M)) |
#s(approx M M) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) (*.f64 M M))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 M #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M))) |
#s(approx D D) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) (*.f64 D D))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D))) |
Compiled 4 853 to 488 computations (89.9% saved)
20 alts after pruning (20 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 98 | 20 | 118 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 99 | 20 | 119 |
| Status | Accuracy | Program |
|---|---|---|
| 60.0% | (*.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)))) | |
| 70.6% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) | |
| 69.3% | (*.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 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) | |
| 59.7% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 d d))) (/.f64 h l)))) | |
| 54.4% | (*.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)))) #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)))) | |
| ▶ | 25.6% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))) |
| 44.4% | (*.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)))) #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)))) | |
| 39.5% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 72.7% | (*.f64 (*.f64 (*.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 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)))) | |
| ▶ | 72.9% | (*.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)))) |
| 70.6% | (*.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)))))) | |
| 39.1% | (*.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)))) | |
| 35.0% | (*.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)))) | |
| ▶ | 53.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
| 18.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) | |
| 29.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) | |
| ▶ | 20.6% | #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 -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
| 17.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (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)))))) | |
| 30.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) | |
| ▶ | 21.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
Compiled 1 796 to 1 208 computations (32.7% saved)
| Inputs |
|---|
(*.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 l)) (sqrt.f64 (/.f64 d h))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
d |
l |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
h |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#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)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d) |
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) |
(pow.f64 (*.f64 l h) #s(literal -1 binary64)) |
(*.f64 l h) |
#s(literal -1 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) |
#s(literal -1/8 binary64) |
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) |
(pow.f64 (*.f64 D M) #s(literal 2 binary64)) |
(*.f64 D M) |
(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) |
(/.f64 h (pow.f64 l #s(literal 3 binary64))) |
(pow.f64 l #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) |
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) |
(pow.f64 (/.f64 h l) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 (/.f64 h l)) d) |
(sqrt.f64 (/.f64 h l)) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))) |
(*.f64 (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))) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) |
(*.f64 (*.f64 d d) l) |
(*.f64 d d) |
| Outputs |
|---|
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#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 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* -1/8 (/ (pow (* D M) 2) d)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) d)))) |
#s(approx (/ (pow (* D M) 2) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d))) |
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* d (sqrt (/ h l))))) |
#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 (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ (* -1/8 (* (pow (* D M) 2) h)) (* (* d d) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* d d) l) #s(hole binary64 (* (pow d 2) l))) |
#s(approx (* d d) #s(hole binary64 (pow d 2))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (sqrt (/ h l))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (pow (* l h) -1) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (* l h) #s(hole binary64 (* h l))) |
#s(approx (sqrt (/ h (pow l 3))) #s(hole binary64 (sqrt (/ h (pow l 3))))) |
#s(approx (/ h (pow l 3)) #s(hole binary64 (/ h (pow l 3)))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))))) |
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (sqrt (/ (pow h 3) (pow l 3))))) |
#s(approx (pow (/ h l) 3) #s(hole binary64 (/ (pow h 3) (pow l 3)))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (sqrt (/ h l)))) |
#s(approx (* -1/8 (* (pow (* D M) 2) h)) #s(hole binary64 (* -1/8 (* (pow D 2) (* (pow M 2) h))))) |
#s(approx (* (pow (* D M) 2) h) #s(hole binary64 (* (pow D 2) (* (pow M 2) h)))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ d h)) #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) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (sqrt (/ h (pow l 3))) #s(hole binary64 (* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))) |
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (pow l 3) #s(hole binary64 (pow l 3))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2)))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))) |
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))) |
#s(approx (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 M) 2) #s(hole binary64 (* (pow D 2) (pow M 2)))) |
#s(approx (* D M) #s(hole binary64 (* D M))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l))))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | h | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (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)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (* -1/8 (* (pow (* D M) 2) h)) (* (* d d) l)) (* -1/8 (* (pow (* D M) 2) h)) (* (pow (* D M) 2) h) (* (* d d) l) (* d d)) |
| 33.0ms | l | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (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)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (* -1/8 (* (pow (* D M) 2) h)) (* (* d d) l)) (* -1/8 (* (pow (* D M) 2) h)) (* (pow (* D M) 2) h) (* (* d d) l) (* d d)) |
| 25.0ms | M | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (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)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (* -1/8 (* (pow (* D M) 2) h)) (* (* d d) l)) (* -1/8 (* (pow (* D M) 2) h)) (* (pow (* D M) 2) h) (* (* d d) l) (* d d)) |
| 22.0ms | d | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (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)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (* -1/8 (* (pow (* D M) 2) h)) (* (* d d) l)) (* -1/8 (* (pow (* D M) 2) h)) (* (pow (* D M) 2) h) (* (* d d) l) (* d d)) |
| 17.0ms | D | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) 2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (pow l 3)))) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (sqrt (/ h (pow l 3))) (/ h (pow l 3)) (pow l 3) 3 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (sqrt (pow (/ h l) 3)) (pow (/ h l) 3) (* (sqrt (/ h l)) d) (sqrt (/ h l)) (* (* (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)) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (* -1/8 (* (pow (* D M) 2) h)) (* (* d d) l)) (* -1/8 (* (pow (* D M) 2) h)) (* (pow (* D M) 2) h) (* (* d d) l) (* d d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 426 | 5154 |
| 0 | 505 | 4594 |
| 0 | 1706 | 4551 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.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 l)) (sqrt.f64 (/.f64 d h))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
d |
l |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
h |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#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)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d) |
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) |
(pow.f64 (*.f64 l h) #s(literal -1 binary64)) |
(*.f64 l h) |
#s(literal -1 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) |
#s(literal -1/8 binary64) |
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) |
(pow.f64 (*.f64 D M) #s(literal 2 binary64)) |
(*.f64 D M) |
(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) |
(/.f64 h (pow.f64 l #s(literal 3 binary64))) |
(pow.f64 l #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) |
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) |
(pow.f64 (/.f64 h l) #s(literal 3 binary64)) |
(*.f64 (sqrt.f64 (/.f64 h l)) d) |
(sqrt.f64 (/.f64 h l)) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))) |
(*.f64 (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))) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l))) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) |
(*.f64 (*.f64 d d) l) |
(*.f64 d d) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#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 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* -1/8 (/ (pow (* D M) 2) d)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) d)))) |
#s(approx (/ (pow (* D M) 2) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ (pow h 3) (pow l 3))))) (* (pow d 2) (sqrt (/ h l)))) d))) |
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* d (sqrt (/ h l))))) |
#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 (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ (* -1/8 (* (pow (* D M) 2) h)) (* (* d d) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* d d) l) #s(hole binary64 (* (pow d 2) l))) |
#s(approx (* d d) #s(hole binary64 (pow d 2))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (sqrt (/ h l))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* d (+ (sqrt (/ h l)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3))))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ 1 (* h l)))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1 (* d (+ (* -1 (sqrt (/ h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ (pow h 3) (pow l 3)))))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (pow (* l h) -1) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (* l h) #s(hole binary64 (* h l))) |
#s(approx (sqrt (/ h (pow l 3))) #s(hole binary64 (sqrt (/ h (pow l 3))))) |
#s(approx (/ h (pow l 3)) #s(hole binary64 (/ h (pow l 3)))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))))) |
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (sqrt (/ (pow h 3) (pow l 3))))) |
#s(approx (pow (/ h l) 3) #s(hole binary64 (/ (pow h 3) (pow l 3)))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (sqrt (/ h l)))) |
#s(approx (* -1/8 (* (pow (* D M) 2) h)) #s(hole binary64 (* -1/8 (* (pow D 2) (* (pow M 2) h))))) |
#s(approx (* (pow (* D M) 2) h) #s(hole binary64 (* (pow D 2) (* (pow M 2) h)))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ d h)) #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) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (pow (* l h) -1)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (pow l 3)))) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (sqrt (/ h (pow l 3))) #s(hole binary64 (* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* -1 (* h (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow h 2) (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3)))))))))) |
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (* -1 (* (sqrt (/ h l)) (pow (sqrt -1) 2))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (pow l 3) #s(hole binary64 (pow l 3))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* (pow h 3) l)))) (* d (sqrt (* h (pow l 3))))) (pow l 2)))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (+ (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))))) |
#s(approx (sqrt (pow (/ h l) 3)) #s(hole binary64 (* -1 (* (sqrt (/ (pow h 3) (pow l 3))) (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt (/ h l)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l))))) |
#s(approx (sqrt (/ h l)) #s(hole binary64 (* (sqrt (/ h l)) (pow (sqrt -1) 2)))) |
#s(approx (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 M) 2) #s(hole binary64 (* (pow D 2) (pow M 2)))) |
#s(approx (* D M) #s(hole binary64 (* D M))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ h l))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ h l))))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.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)) (*.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) |
(*.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) |
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) |
h |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 h l))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (/.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))) |
#s(literal 1/2 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 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) d)) |
(*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) d) |
(*.f64 d (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) |
(sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 h #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 h l) #s(literal -1 binary64)) |
(/.f64 (pow.f64 h #s(literal -1 binary64)) l) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 h l))) |
(/.f64 #s(literal 1 binary64) (*.f64 h l)) |
(exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1 binary64))) |
(*.f64 h l) |
(*.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 (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))) |
(*.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)) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d))) |
(*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) d) |
#s(literal -1/8 binary64) |
(*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (neg.f64 d)) |
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 1 binary64)) (pow.f64 (*.f64 D M) #s(literal 1 binary64))) |
(*.f64 (*.f64 D M) (*.f64 D M)) |
(*.f64 (*.f64 M M) (*.f64 D D)) |
(*.f64 (*.f64 D D) (*.f64 M M)) |
(pow.f64 (*.f64 D M) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 D M)) #s(literal 2 binary64))) |
(*.f64 D M) |
(*.f64 M D) |
(pow.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 h) (sqrt.f64 (pow.f64 l #s(literal 3 binary64)))) |
(sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) |
(/.f64 (neg.f64 h) (neg.f64 (pow.f64 l #s(literal 3 binary64)))) |
(/.f64 h (pow.f64 l #s(literal 3 binary64))) |
(*.f64 (pow.f64 l #s(literal 3/2 binary64)) (pow.f64 l #s(literal 3/2 binary64))) |
(*.f64 (*.f64 l l) l) |
(*.f64 l (*.f64 l l)) |
(pow.f64 l #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 l) #s(literal 3 binary64))) |
#s(literal 3 binary64) |
#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)) |
(/.f64 (neg.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))) (neg.f64 h)) |
(/.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) |
(+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) h) (/.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) h)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) (*.f64 (sqrt.f64 (/.f64 h l)) d))) (-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) (*.f64 (sqrt.f64 (/.f64 h l)) d)) (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d))))) |
(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)) |
(fma.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) |
(fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) |
(fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) |
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (*.f64 (neg.f64 (sqrt.f64 (/.f64 h l))) d)) |
(-.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) |
(+.f64 (*.f64 (sqrt.f64 (/.f64 h l)) d) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) |
(pow.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) |
(/.f64 (sqrt.f64 (pow.f64 h #s(literal 3 binary64))) (sqrt.f64 (pow.f64 l #s(literal 3 binary64)))) |
(sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 h l) (/.f64 h l)) (/.f64 h l)) |
(*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) |
(*.f64 (/.f64 h l) (*.f64 (/.f64 h l) (/.f64 h l))) |
(pow.f64 (/.f64 h l) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (pow.f64 h #s(literal 3 binary64))) (neg.f64 (pow.f64 l #s(literal 3 binary64)))) |
(/.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 h l)) #s(literal 3 binary64))) |
(*.f64 (sqrt.f64 (/.f64 h l)) d) |
(*.f64 d (sqrt.f64 (/.f64 h l))) |
(pow.f64 (/.f64 h l) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 h) (sqrt.f64 l)) |
(sqrt.f64 (/.f64 h l)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #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 (* (* (/ 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 #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))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 d l) (/.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 (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)) |
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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 (*.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 (* (sqrt (pow (* l h) -1)) d) (*.f64 d (neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))))) |
#s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (pow l 3)))) (*.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 (sqrt (/ h (pow l 3))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 (*.f64 (/.f64 (*.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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (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) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) d))) h))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #s(literal -1/8 binary64))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 (/.f64 (*.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)))) (*.f64 h h))) |
#s(approx (sqrt (pow (/ h l) 3)) (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1 binary64))) |
#s(approx (* (sqrt (/ h l)) d) (neg.f64 (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l)))))) |
#s(approx (sqrt (/ h l)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 h l))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 d (neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))))) |
#s(approx (pow (/ d h) (/ 1 2)) (*.f64 (sqrt.f64 (/.f64 d 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 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) (/.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)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l))) |
#s(approx (pow l 3) (pow.f64 l #s(literal 3 binary64))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (/.f64 (fma.f64 (sqrt.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (pow.f64 (*.f64 h l) #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 h l) #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 (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (fma.f64 (pow.f64 (*.f64 h l) #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 h l) #s(literal -1/2 binary64))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 d (neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))))) |
#s(approx (pow (/ d l) (/ 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 d (neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 d (neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 d (neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.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 d (neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64))) #s(literal 1/8 binary64) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l)))))) |
#s(approx (sqrt (pow (/ h l) 3)) (neg.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) #s(literal -1 binary64)))) |
#s(approx (* (sqrt (/ h l)) d) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) |
#s(approx (sqrt (/ h l)) (neg.f64 (sqrt.f64 (/.f64 h l)))) |
#s(approx (pow (/ d l) (/ 1 2)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))) |
#s(approx (* D M) (*.f64 D M)) |
#s(approx M M) |
#s(approx (pow (* D M) 2) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) |
#s(approx (* D M) (*.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 h l) #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 (* (* (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 h l) #s(literal -1/2 binary64)))) (*.f64 M M))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) (*.f64 M M))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 h l)))) (*.f64 M M))) |
#s(approx 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 h l) #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))) |
#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 h l) #s(literal -1/2 binary64)))) (*.f64 D D))) |
#s(approx (/ (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) h) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) (*.f64 D D))) |
#s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) |
Compiled 19 613 to 1 303 computations (93.4% saved)
30 alts after pruning (30 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 346 | 28 | 374 |
| Fresh | 13 | 2 | 15 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 364 | 30 | 394 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.4% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
| 69.3% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) | |
| 70.6% | (*.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)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (/.f64 h l)))) | |
| ▶ | 72.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 59.7% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 #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 h l)))) | |
| 54.4% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) #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)))))) | |
| 55.4% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l) #s(literal 1 binary64)))) | |
| ▶ | 28.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #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)))) |
| 36.7% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 70.6% | (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (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)))))) | |
| 25.6% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))) | |
| 20.7% | (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #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)))) | |
| 39.1% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 d (neg.f64 (pow.f64 (*.f64 h 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)))) | |
| 29.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 43.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 53.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 47.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) h)) | |
| 31.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 h l)))) (*.f64 M M))) h)) | |
| 44.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) | |
| 33.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 14.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) | |
| 29.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) | |
| 21.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) | |
| 20.6% | #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 -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l))))) | |
| 18.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 30.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) | |
| ▶ | 21.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) |
| ▶ | 21.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) |
| 20.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1 binary64)))) d)) | |
| 29.6% | #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 (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) d)) |
Compiled 3 032 to 1 970 computations (35% saved)
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
d |
l |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
h |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
#s(literal 1/2 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) |
#s(literal 2 binary64) |
(/.f64 h l) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) |
(/.f64 #s(literal 1 binary64) (*.f64 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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d) |
(sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) |
(/.f64 (pow.f64 h #s(literal -1 binary64)) l) |
(pow.f64 h #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(/.f64 M #s(literal 2 binary64)) |
(/.f64 D d) |
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) |
(*.f64 (/.f64 d l) (/.f64 d h)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #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 (- 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))) |
(*.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)) |
(-.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))) |
(pow.f64 M #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) |
#s(literal 1/8 binary64) |
(*.f64 (*.f64 D D) h) |
(*.f64 D D) |
(*.f64 (*.f64 d d) l) |
(*.f64 d d) |
(*.f64 M M) |
| Outputs |
|---|
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#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 (* -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 (* h l))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (/ (pow h -1) l)) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (* (/ M 2) (/ D d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (/ M 2) (/ D d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (/ D d) #s(hole binary64 (/ D d))) |
#s(approx (sqrt (* (/ d l) (/ d h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (/ d l) (/ d h)) #s(hole binary64 (/ (pow d 2) (* h l)))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* (* (/ 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 (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (/ (- (/ (pow d 2) (pow M 2)) (* 1/8 (/ (* (pow D 2) h) l))) (pow d 2)))) |
#s(approx (/ (* 1/8 (* (* D D) h)) (* (* d d) l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
#s(approx (* (* d d) l) #s(hole binary64 (* (pow d 2) l))) |
#s(approx (* d d) #s(hole binary64 (pow d 2))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 1)) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(hole binary64 1)) |
#s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (/ 1 (pow M 2)))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* -1 (* 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) (/ d h))) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 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 (/ (+ (* -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 (* h l))) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (/ 1 (* h l)) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (* h l) #s(hole binary64 (* h l))) |
#s(approx (sqrt (/ (pow h -1) l)) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (/ (pow h -1) l) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (pow h -1) #s(hole binary64 (/ 1 h))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* 1/8 (* (* D D) h)) #s(hole binary64 (* 1/8 (* (pow D 2) h)))) |
#s(approx (* (* D D) h) #s(hole binary64 (* (pow D 2) h))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (* h (- (/ 1 (* (pow M 2) h)) (* 1/8 (/ (pow D 2) (* (pow d 2) l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ d h)) #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) (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 (* h l))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ 1 (* h l))) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ (pow h -1) l)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ (pow h -1) l)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (sqrt (* (/ d l) (/ d h))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (- 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 M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (* h (+ (* -1/8 (/ (pow D 2) (* (pow d 2) l))) (/ 1 (* (pow M 2) h)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (/ (- (/ l (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (pow d 2)))) l))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 D) #s(hole binary64 (* D M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (/ (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (pow M 2)))) |
#s(approx (pow M -2) #s(hole binary64 (/ 1 (pow M 2)))) |
#s(approx (* M M) #s(hole binary64 (pow M 2))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* D D) #s(hole binary64 (pow D 2))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (* (pow D 2) (pow M 2))) (* 1/8 (/ h (* (pow d 2) l))))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | D | @ | 0 | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) 1/2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* h l))) d) (sqrt (/ 1 (* h l))) (/ 1 (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ (pow h -1) l)) d) (sqrt (/ (pow h -1) l)) (/ (pow h -1) l) (pow h -1) -1 (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (pow M -2) -2 (/ (* 1/8 (* (* D D) h)) (* (* d d) l)) (* 1/8 (* (* D D) h)) 1/8 (* (* D D) h) (* D D) (* (* d d) l) (* d d) (* M M)) |
| 22.0ms | l | @ | inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) 1/2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* h l))) d) (sqrt (/ 1 (* h l))) (/ 1 (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ (pow h -1) l)) d) (sqrt (/ (pow h -1) l)) (/ (pow h -1) l) (pow h -1) -1 (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (pow M -2) -2 (/ (* 1/8 (* (* D D) h)) (* (* d d) l)) (* 1/8 (* (* D D) h)) 1/8 (* (* D D) h) (* D D) (* (* d d) l) (* d d) (* M M)) |
| 20.0ms | d | @ | inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) 1/2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* h l))) d) (sqrt (/ 1 (* h l))) (/ 1 (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ (pow h -1) l)) d) (sqrt (/ (pow h -1) l)) (/ (pow h -1) l) (pow h -1) -1 (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (pow M -2) -2 (/ (* 1/8 (* (* D D) h)) (* (* d d) l)) (* 1/8 (* (* D D) h)) 1/8 (* (* D D) h) (* D D) (* (* d d) l) (* d d) (* M M)) |
| 16.0ms | d | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) 1/2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* h l))) d) (sqrt (/ 1 (* h l))) (/ 1 (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ (pow h -1) l)) d) (sqrt (/ (pow h -1) l)) (/ (pow h -1) l) (pow h -1) -1 (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (pow M -2) -2 (/ (* 1/8 (* (* D D) h)) (* (* d d) l)) (* 1/8 (* (* D D) h)) 1/8 (* (* D D) h) (* D D) (* (* d d) l) (* d d) (* M M)) |
| 7.0ms | h | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) 1/2 (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) 2 (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* h l))) d) (sqrt (/ 1 (* h l))) (/ 1 (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ (pow h -1) l)) d) (sqrt (/ (pow h -1) l)) (/ (pow h -1) l) (pow h -1) -1 (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2)) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) (/ D d) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (pow M -2) -2 (/ (* 1/8 (* (* D D) h)) (* (* d d) l)) (* 1/8 (* (* D D) h)) 1/8 (* (* D D) h) (* D D) (* (* d d) l) (* d d) (* M M)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 422 | 6529 |
| 0 | 497 | 6080 |
| 0 | 1572 | 5981 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 1)) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(hole binary64 1)) |
#s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (/ 1 (pow M 2)))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* -1 (* 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) (/ d h))) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 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 (/ (+ (* -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 (* h l))) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (/ 1 (* h l)) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (* h l) #s(hole binary64 (* h l))) |
#s(approx (sqrt (/ (pow h -1) l)) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (/ (pow h -1) l) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (pow h -1) #s(hole binary64 (/ 1 h))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* 1/8 (* (* D D) h)) #s(hole binary64 (* 1/8 (* (pow D 2) h)))) |
#s(approx (* (* D D) h) #s(hole binary64 (* (pow D 2) h))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (* h (- (/ 1 (* (pow M 2) h)) (* 1/8 (/ (pow D 2) (* (pow d 2) l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ d h)) #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) (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 (* h l))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ 1 (* h l))) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (/ (pow h -1) l)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ (pow h -1) l)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (sqrt (* (/ d l) (/ d h))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (- 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 M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (* h (+ (* -1/8 (/ (pow D 2) (* (pow d 2) l))) (/ 1 (* (pow M 2) h)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (/ (- (/ l (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (pow d 2)))) l))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 D) #s(hole binary64 (* D M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (/ (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (pow M 2)))) |
#s(approx (pow M -2) #s(hole binary64 (/ 1 (pow M 2)))) |
#s(approx (* M M) #s(hole binary64 (pow M 2))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l)))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* D D) #s(hole binary64 (pow D 2))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) (sqrt (* (/ d l) (/ d h)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (/ h l) (* (pow (* (/ M 2) (/ D d)) 2) 1/2))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (* (pow D 2) (pow M 2))) (* 1/8 (/ h (* (pow d 2) l))))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (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 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 (sqrt.f64 (/.f64 d l)) (*.f64 (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 #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 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) |
(*.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) |
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) |
h |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #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 d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) |
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l))) |
(/.f64 (*.f64 h (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) l) |
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l) |
(*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 D d) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) |
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d) |
(/.f64 (neg.f64 (*.f64 D M)) (neg.f64 (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 D M) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(*.f64 d #s(literal 2 binary64)) |
(+.f64 d d) |
#s(literal 2 binary64) |
(/.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 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d) |
(*.f64 d (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64)))) |
(pow.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (pow.f64 h #s(literal -1 binary64))) (sqrt.f64 l)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) |
(sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) |
(pow.f64 (*.f64 h l) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 h #s(literal -1 binary64))) (neg.f64 l)) |
(/.f64 (pow.f64 h #s(literal -1 binary64)) l) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 h l))) |
(/.f64 #s(literal 1 binary64) (*.f64 h l)) |
(*.f64 h l) |
(*.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 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d) |
(*.f64 d (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64)))) |
(pow.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (pow.f64 h #s(literal -1 binary64))) (sqrt.f64 l)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) |
(sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) |
(pow.f64 (*.f64 h l) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 h #s(literal -1 binary64))) (neg.f64 l)) |
(/.f64 (pow.f64 h #s(literal -1 binary64)) l) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 h l))) |
(/.f64 #s(literal 1 binary64) (*.f64 h l)) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) |
(pow.f64 h #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 h)) |
(/.f64 #s(literal 1 binary64) h) |
(exp.f64 (*.f64 (log.f64 h) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.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 (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 (sqrt.f64 (/.f64 d l)) (*.f64 (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 #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 (/.f64 d l) (/.f64 d h)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #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 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 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) |
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l))) |
(/.f64 (*.f64 h (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) l) |
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l) |
(*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 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 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)) |
(/.f64 (neg.f64 D) (neg.f64 d)) |
(/.f64 D d) |
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) |
(*.f64 (/.f64 d l) (/.f64 d h)) |
(*.f64 (/.f64 d h) (/.f64 d l)) |
(/.f64 (/.f64 (*.f64 d d) h) l) |
(/.f64 (*.f64 d (/.f64 d h)) l) |
(/.f64 (*.f64 (/.f64 d l) d) h) |
(/.f64 (neg.f64 (*.f64 d d)) (neg.f64 (*.f64 h l))) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) (*.f64 M M)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) (*.f64 M M))))) |
(*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) (*.f64 M M))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) (*.f64 M M))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) M) |
(*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) (*.f64 M M)) |
(*.f64 (*.f64 M M) (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) (*.f64 M M) (*.f64 (pow.f64 M #s(literal -2 binary64)) (*.f64 M M))) |
(fma.f64 (*.f64 M M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) (pow.f64 M #s(literal -2 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) (*.f64 M M)) (*.f64 (pow.f64 M #s(literal -2 binary64)) (*.f64 M M))) |
(+.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 (*.f64 M M) (pow.f64 M #s(literal -2 binary64)))) |
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#s(literal 1/8 binary64) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #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 (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 h l) #s(literal -1 binary64)))) d))) |
#s(approx (sqrt (* (/ d l) (/ d h))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #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 (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #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 (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 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) #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 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx h h) |
#s(approx (/ h l) (/.f64 h l)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (sqrt (/ 1 (* h l))) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64)))) |
#s(approx (/ 1 (* h l)) (pow.f64 (*.f64 h l) #s(literal -1 binary64))) |
#s(approx (* h l) (*.f64 h l)) |
#s(approx (sqrt (/ 1 (* h l))) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64)))) |
#s(approx (/ 1 (* h l)) (pow.f64 (*.f64 h l) #s(literal -1 binary64))) |
#s(approx (pow h -1) (pow.f64 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 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* 1/8 (* (* D D) h)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) h)) |
#s(approx (* (* D D) h) (*.f64 (*.f64 D D) h)) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) |
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#s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) (*.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)) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (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)))))) |
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#s(approx (sqrt (* (/ d l) (/ d h))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d))) |
#s(approx (sqrt (/ d h)) (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64))) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
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#s(approx (* (sqrt (/ (pow h -1) l)) d) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d))) |
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#s(approx (sqrt (* (/ d l) (/ d h))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d))) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 h l)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#s(approx l l) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d))) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #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)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #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 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d))) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #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 (sqrt.f64 (pow.f64 (*.f64 h l) #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)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d)))) |
#s(approx (* M D) (*.f64 D M)) |
#s(approx M M) |
#s(approx (/ M 2) (*.f64 M #s(literal 1/2 binary64))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (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)) (*.f64 M M))) |
#s(approx (pow M -2) (pow.f64 M #s(literal -2 binary64))) |
#s(approx (* M M) (*.f64 M M)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.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 h l) #s(literal -1 binary64))))) (*.f64 M M))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) (*.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)) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))))) (*.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)) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))))) (*.f64 M M))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) (*.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)) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))))) (*.f64 M M))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) (*.f64 M M))) |
#s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) (*.f64 M M))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64)))) |
#s(approx D D) |
#s(approx (* D D) (*.f64 D D)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.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 h l) #s(literal -1 binary64))))) (*.f64 D D))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 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 (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 h l) #s(literal -1 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 (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 h l) #s(literal -1 binary64))))) (*.f64 D D))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 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 (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 h l) #s(literal -1 binary64))))) (*.f64 D D))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 D #s(literal -2 binary64))) (*.f64 D D))) |
#s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) (*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 D #s(literal -2 binary64))) (*.f64 D D))) |
#s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64))) (*.f64 D D))) |
Compiled 15 084 to 1 266 computations (91.6% saved)
35 alts after pruning (34 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 327 | 17 | 344 |
| Fresh | 8 | 17 | 25 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 339 | 35 | 374 |
| Status | Accuracy | Program |
|---|---|---|
| 50.8% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d h)) l))) | |
| 58.4% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 #s(approx (/ M 2) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) | |
| 16.5% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) #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)))) | |
| 69.3% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) | |
| ▶ | 72.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 70.6% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #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 h l)))) | |
| 59.7% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 #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 h l)))) | |
| 54.4% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #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)))) | |
| 28.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))) | |
| ▶ | 31.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) M))) |
| 14.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (pow.f64 M #s(literal -2 binary64))) (*.f64 M M)))) | |
| 23.1% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 (*.f64 d d) (*.f64 M M)) (*.f64 (/.f64 (*.f64 (*.f64 D D) h) l) #s(literal 1/8 binary64))) (*.f64 d d))) (*.f64 M M)))) | |
| 26.7% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 l (*.f64 M M)) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) h) (*.f64 d d))) l)) (*.f64 M M)))) | |
| 19.5% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))) | |
| 36.7% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(literal 1 binary64)))) | |
| 25.6% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))) | |
| ▶ | 60.0% | (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 20.7% | (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #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)))) | |
| 39.1% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 d (neg.f64 (pow.f64 (*.f64 h 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)))) | |
| 29.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 43.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 53.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 47.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) h)) | |
| 31.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 h l)))) (*.f64 M M))) h)) | |
| 44.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) | |
| 33.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 14.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) | |
| 29.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) | |
| 20.5% | #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 (sqrt.f64 (pow.f64 h #s(literal -1 binary64))) (sqrt.f64 l)) d)) | |
| ▶ | 21.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
| 20.6% | #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 -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l))))) | |
| 21.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) | |
| ✓ | 21.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) |
| 29.6% | #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 (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) d)) | |
| ▶ | 30.4% | #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 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d))) |
Compiled 3 620 to 2 360 computations (34.8% saved)
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
d |
l |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
h |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
(pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (+.f64 d d)) |
(*.f64 M D) |
M |
D |
(+.f64 d 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 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) |
(sqrt.f64 (*.f64 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)))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d))) |
(neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d) |
(sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) |
(pow.f64 (*.f64 h l) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) |
(*.f64 (/.f64 d l) (/.f64 d h)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 #s(literal 1/2 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 #s(literal 2 binary64) d) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) M))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) M)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) M) |
(*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) |
(fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) |
(*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) |
(*.f64 D D) |
(/.f64 h (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 d d) l) |
(*.f64 d d) |
#s(literal -1/8 binary64) |
(pow.f64 M #s(literal -2 binary64)) |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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) (+ d 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) (+ d 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) (+ d d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (/ (* M D) (+ d d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (/ (* M D) (+ d d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (+ d 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 (* h l))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (neg (* (sqrt (pow (* h l) -1)) d)) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (sqrt (pow (* h l) -1)) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (sqrt (* (/ d l) (/ d h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (/ d l) (/ d h)) #s(hole binary64 (/ (pow d 2) (* h l)))) |
#s(approx (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (* 2 d) #s(hole binary64 (* 2 d))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* (* (/ 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 (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* M h)) (* (pow d 2) l))))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* M h)) l)) (/ (pow d 2) M)) (pow d 2)))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) h) l)) (/ (pow d 2) (pow M 2))) (pow d 2)))) |
#s(approx (* (* D D) (/ h (* (* d d) l))) #s(hole binary64 (/ (* (pow D 2) h) (* (pow d 2) l)))) |
#s(approx (/ h (* (* d d) l)) #s(hole binary64 (/ h (* (pow d 2) l)))) |
#s(approx (* (* d d) l) #s(hole binary64 (* (pow d 2) l))) |
#s(approx (* d d) #s(hole binary64 (pow d 2))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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) (+ d d)) 2)) (/ h l))) #s(hole binary64 1)) |
#s(approx (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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 (* 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 l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) #s(hole binary64 1)) |
#s(approx (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (/ 1 M))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* M h)) (* (pow d 2) l))) (/ 1 M)))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) #s(hole binary64 (/ 1 (pow M 2)))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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 l)) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (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 l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* 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) (/ d h))) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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 (/ (+ (* -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 (* h l))) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (sqrt (* h l)) #s(hole binary64 (sqrt (* h l)))) |
#s(approx (* h l) #s(hole binary64 (* h l))) |
#s(approx (sqrt (pow (* h l) -1)) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (pow (* h l) -1) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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) (+ d 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 (* 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) (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 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 (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) M) (* (pow d 2) l))) (/ 1 (* M h)))))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) #s(hole binary64 (* h (+ (* -1/8 (/ (pow D 2) (* (pow d 2) l))) (/ 1 (* (pow M 2) h)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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 (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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) (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 (* h l)) #s(hole binary64 (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))))) |
#s(approx (neg (* (sqrt (pow (* h l) -1)) d)) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (sqrt (pow (* h l) -1)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (pow (* h l) -1)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 (* (sqrt (* (/ d l) (/ d h))) (- 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 (* (/ d l) (/ d h))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#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 l)) (sqrt (/ d h))) (- 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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (- 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 (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) M) (* (pow d 2) l))) (/ 1 (* M h))))))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (pow D 2) (* (pow d 2) l))) (/ 1 (* (pow M 2) h))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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) (+ d 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* M h)) (pow d 2))) (/ l M)) l))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) h) (pow d 2))) (/ l (pow M 2))) l))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d 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 (* (/ d l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 D) #s(hole binary64 (* D M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (/ (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) M))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) #s(hole binary64 (/ (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (pow M 2)))) |
#s(approx (pow M -2) #s(hole binary64 (/ 1 (pow M 2)))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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) (+ d d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 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 l) (/ d h))) (- 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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (* M (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (* -1 (* M (- (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* D D) #s(hole binary64 (pow D 2))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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) (+ d d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 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 l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* M h) (* (pow d 2) l))) (/ 1 (* (pow D 2) M)))))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ h (* (pow d 2) l))) (/ 1 (* (pow D 2) (pow M 2))))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | d | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (+ d d)) 2)) 1/2 (pow (/ (* M D) (+ d d)) 2) (/ (* M D) (+ d d)) (* M D) M D (+ d d) 2 (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* h l))) d) (/ 1 (sqrt (* h l))) (sqrt (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg (* (sqrt (pow (* h l) -1)) d)) (* (sqrt (pow (* h l) -1)) d) (sqrt (pow (* h l) -1)) (pow (* h l) -1) -1 (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* 2 d) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) (* (* D D) (/ h (* (* d d) l))) (* D D) (/ h (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (pow M -2) -2) |
| 23.0ms | M | @ | 0 | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (+ d d)) 2)) 1/2 (pow (/ (* M D) (+ d d)) 2) (/ (* M D) (+ d d)) (* M D) M D (+ d d) 2 (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* h l))) d) (/ 1 (sqrt (* h l))) (sqrt (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg (* (sqrt (pow (* h l) -1)) d)) (* (sqrt (pow (* h l) -1)) d) (sqrt (pow (* h l) -1)) (pow (* h l) -1) -1 (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* 2 d) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) (* (* D D) (/ h (* (* d d) l))) (* D D) (/ h (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (pow M -2) -2) |
| 12.0ms | h | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (+ d d)) 2)) 1/2 (pow (/ (* M D) (+ d d)) 2) (/ (* M D) (+ d d)) (* M D) M D (+ d d) 2 (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* h l))) d) (/ 1 (sqrt (* h l))) (sqrt (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg (* (sqrt (pow (* h l) -1)) d)) (* (sqrt (pow (* h l) -1)) d) (sqrt (pow (* h l) -1)) (pow (* h l) -1) -1 (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* 2 d) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) (* (* D D) (/ h (* (* d d) l))) (* D D) (/ h (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (pow M -2) -2) |
| 9.0ms | D | @ | inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (+ d d)) 2)) 1/2 (pow (/ (* M D) (+ d d)) 2) (/ (* M D) (+ d d)) (* M D) M D (+ d d) 2 (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* h l))) d) (/ 1 (sqrt (* h l))) (sqrt (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg (* (sqrt (pow (* h l) -1)) d)) (* (sqrt (pow (* h l) -1)) d) (sqrt (pow (* h l) -1)) (pow (* h l) -1) -1 (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* 2 d) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) (* (* D D) (/ h (* (* d d) l))) (* D D) (/ h (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (pow M -2) -2) |
| 8.0ms | l | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l))) 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (+ d d)) 2)) 1/2 (pow (/ (* M D) (+ d d)) 2) (/ (* M D) (+ d d)) (* M D) M D (+ d d) 2 (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* h l))) d) (/ 1 (sqrt (* h l))) (sqrt (* h l)) (* h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg (* (sqrt (pow (* h l) -1)) d)) (* (sqrt (pow (* h l) -1)) d) (sqrt (pow (* h l) -1)) (pow (* h l) -1) -1 (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (* (/ d l) (/ d h))) (* (/ d l) (/ d h)) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* 2 d) (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) (* (* D D) (/ h (* (* d d) l))) (* D D) (/ h (* (* d d) l)) (* (* d d) l) (* d d) -1/8 (pow M -2) -2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 481 | 6884 |
| 0 | 554 | 6348 |
| 0 | 1827 | 6270 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
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d |
l |
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#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 l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) #s(hole binary64 1)) |
#s(approx (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (/ 1 M))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) (* M h)) (* (pow d 2) l))) (/ 1 M)))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) #s(hole binary64 (/ 1 (pow M 2)))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) #s(hole binary64 (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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 l)) (sqrt (/ d h))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d l)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (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 l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* 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) (/ d h))) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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 (/ (+ (* -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 (* h l))) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (sqrt (* h l)) #s(hole binary64 (sqrt (* h l)))) |
#s(approx (* h l) #s(hole binary64 (* h l))) |
#s(approx (sqrt (pow (* h l) -1)) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (pow (* h l) -1) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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) (+ d 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 (* 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) (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 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 (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) M) (* (pow d 2) l))) (/ 1 (* M h)))))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) #s(hole binary64 (* h (+ (* -1/8 (/ (pow D 2) (* (pow d 2) l))) (/ 1 (* (pow M 2) h)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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 (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ d h)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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) (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 (* h l)) #s(hole binary64 (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))))) |
#s(approx (neg (* (sqrt (pow (* h l) -1)) d)) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (sqrt (pow (* h l) -1)) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (pow (* h l) -1)) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 (* (sqrt (* (/ d l) (/ d h))) (- 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 (* (/ d l) (/ d h))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#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 l)) (sqrt (/ d h))) (- 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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 (- 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 (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) M) (* (pow d 2) l))) (/ 1 (* M h))))))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (pow D 2) (* (pow d 2) l))) (/ 1 (* (pow M 2) h))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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) (+ d 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* M h)) (pow d 2))) (/ l M)) l))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) h) (pow d 2))) (/ l (pow M 2))) l))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 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 l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (sqrt (/ d 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 (* (/ d l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (* (/ d l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 D) #s(hole binary64 (* D M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (/ (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) M))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) #s(hole binary64 (/ (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (pow M 2)))) |
#s(approx (pow M -2) #s(hole binary64 (/ 1 (pow M 2)))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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) (+ d d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 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 l) (/ d h))) (- 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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 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 D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (* M (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (* -1 (* M (- (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* D D) #s(hole binary64 (pow D 2))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (+ d 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) (+ d d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 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 l) (/ d h))) (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* 1/2 (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* M h) (* (pow d 2) l))) (/ 1 (* (pow D 2) M)))))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ h (* (pow d 2) l))) (/ 1 (* (pow D 2) (pow M 2))))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.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)) (*.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) |
(*.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) |
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) |
h |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 h l))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (/.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))) |
#s(literal 1/2 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 (-.f64 (*.f64 d d) (*.f64 d d)) (-.f64 d d)) |
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 d d (-.f64 (*.f64 d d) (*.f64 d d)))) |
(+.f64 d d) |
#s(literal 2 binary64) |
(/.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 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) d)) |
(*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) d) |
(*.f64 d (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l))) |
(pow.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 h l)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) |
(sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 h) (sqrt.f64 l)) |
(pow.f64 (*.f64 h l) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 h l)) |
(*.f64 h l) |
(*.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 h l) #s(literal -1/2 binary64)) (neg.f64 d))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))) d) |
(*.f64 (*.f64 #s(literal -1 binary64) d) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) d) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d)) |
(*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal -1 binary64) d)) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) d)) |
(*.f64 d (*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) d)) |
(*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) d) |
(*.f64 d (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l))) |
(pow.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 h l)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) |
(sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) |
(*.f64 (pow.f64 h #s(literal -1 binary64)) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 h l) #s(literal -1 binary64)) |
(/.f64 (pow.f64 h #s(literal -1 binary64)) l) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 h l))) |
(/.f64 #s(literal 1 binary64) (*.f64 h l)) |
(exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.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)) (*.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d h)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) |
(*.f64 (/.f64 d l) (/.f64 d h)) |
(*.f64 (/.f64 d h) (/.f64 d l)) |
(/.f64 (/.f64 (*.f64 d d) h) l) |
(/.f64 (*.f64 d (/.f64 d h)) l) |
(/.f64 (*.f64 (/.f64 d l) d) h) |
(/.f64 (neg.f64 (*.f64 d d)) (neg.f64 (*.f64 h l))) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 h l))) |
(*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 h l)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) (/.f64 h l))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) |
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d))) #s(literal 2 binary64))) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) |
(/.f64 (neg.f64 (*.f64 D M)) (neg.f64 (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 #s(literal 2 binary64) d) |
(*.f64 d #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 d d) (*.f64 d d)) (-.f64 d d)) |
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 d d (-.f64 (*.f64 d d) (*.f64 d d)))) |
(+.f64 d d) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) M))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) M)))) |
(*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) M)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) M)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) M) |
(*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) (*.f64 M M)) |
(*.f64 (*.f64 M M) (fma.f64 (*.f64 (*.f64 D D) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64)))) |
(*.f64 M (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M)) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) (*.f64 M M) (*.f64 (pow.f64 M #s(literal -2 binary64)) (*.f64 M M))) |
(fma.f64 (*.f64 M M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) (pow.f64 M #s(literal -2 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) (*.f64 M M)) (*.f64 (pow.f64 M #s(literal -2 binary64)) (*.f64 M M))) |
(+.f64 (*.f64 (*.f64 M M) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 (*.f64 M M) (pow.f64 M #s(literal -2 binary64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) |
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#s(approx h h) |
#s(approx (/ h l) (/.f64 h l)) |
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#s(approx (* h l) (*.f64 h l)) |
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#s(approx l l) |
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#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 d d)) #s(literal -1/8 binary64) (/.f64 l M)) l)) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d)))) |
#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 (pow.f64 (*.f64 h l) #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)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 h l) #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 (pow.f64 (*.f64 h l) #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)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 h l) #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 (pow.f64 (*.f64 h l) #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)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d)))) |
#s(approx (* M D) (*.f64 D M)) |
#s(approx M M) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (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)) M)) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) (/.f64 (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)) (*.f64 M M))) |
#s(approx (pow M -2) (pow.f64 M #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 (*.f64 h l) #s(literal -1/2 binary64)))) (*.f64 M M))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) 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 h l) #s(literal -1/2 binary64)))) (*.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 h l) #s(literal -1/2 binary64)))) (*.f64 M M))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) 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 h l) #s(literal -1/2 binary64)))) (*.f64 M M))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) M)) |
#s(approx (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) M)) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M)) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l)) (pow.f64 M #s(literal -2 binary64))) M))) |
#s(approx D D) |
#s(approx (* D D) (*.f64 D D)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.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 h l) #s(literal -1/2 binary64)))) (*.f64 D D))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 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 (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 h l) #s(literal -1/2 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 (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 h l) #s(literal -1/2 binary64)))) (*.f64 D D))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 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 (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 h l) #s(literal -1/2 binary64)))) (*.f64 D D))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 D #s(literal -2 binary64))) (*.f64 D D))) |
#s(approx (* (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) M) (*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 (/.f64 h (*.f64 d d)) l)) #s(literal -1/8 binary64) (pow.f64 D #s(literal -2 binary64))) (*.f64 D D))) |
#s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (*.f64 (fma.f64 (*.f64 (/.f64 M (*.f64 d d)) (/.f64 h l)) #s(literal -1/8 binary64) (/.f64 (pow.f64 D #s(literal -2 binary64)) M)) (*.f64 D D))) |
#s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 h (*.f64 d d)) l) (pow.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 D D))) |
Compiled 16 320 to 1 405 computations (91.4% saved)
39 alts after pruning (36 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 348 | 16 | 364 |
| Fresh | 9 | 20 | 29 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 360 | 39 | 399 |
| Status | Accuracy | Program |
|---|---|---|
| 50.8% | (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d h)) l))) | |
| 18.4% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) M))) | |
| 69.3% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) | |
| ✓ | 72.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 70.6% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (/.f64 h l)))) | |
| 59.7% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 #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 h l)))) | |
| 54.4% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #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)))) | |
| 31.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M))) M) M))) | |
| 28.8% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 #s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 l (*.f64 M M))) l)) M) M))) | |
| 14.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (pow.f64 M #s(literal -2 binary64))) (*.f64 M M)))) | |
| 19.5% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))) | |
| 39.7% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 d d)) #s(literal -1/8 binary64) (/.f64 l M)) l)) M))) | |
| 34.5% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M h) l)) #s(literal -1/8 binary64) (/.f64 (*.f64 d d) M)) (*.f64 d d))) M))) | |
| 22.2% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) M))) | |
| 36.7% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(literal 1 binary64)))) | |
| 43.0% | (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 25.6% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))))) | |
| 60.0% | (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 20.7% | (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #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)))) | |
| 39.1% | (*.f64 #s(approx (sqrt (* (/ d l) (/ d h))) (*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 29.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 43.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 53.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 21.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l)))) | |
| 47.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) h)) | |
| 31.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 h l)))) (*.f64 M M))) h)) | |
| 44.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) | |
| 33.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 14.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) | |
| 29.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) | |
| 29.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d))) | |
| 20.5% | #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 h) (sqrt.f64 l))) d)) | |
| ✓ | 21.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
| 20.6% | #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 -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l))))) | |
| 21.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) | |
| ✓ | 21.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) |
| 30.4% | #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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))) | |
| 30.4% | #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) | |
| 28.9% | #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 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1 binary64)))) d))) |
Compiled 5 934 to 1 802 computations (69.6% 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 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 h) (sqrt.f64 l))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.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 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 h l) #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 h l) #s(literal -1/2 binary64)) (neg.f64 d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M))) M) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 d d)) #s(literal -1/8 binary64) (/.f64 l M)) l)) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))) |
#s(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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M h) l)) #s(literal -1/8 binary64) (/.f64 (*.f64 d d) M)) (*.f64 d d))) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 #s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 l (*.f64 M M))) l)) 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)))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 l (*.f64 M M)) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) h) (*.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 (*.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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 (*.f64 d d) (*.f64 M M)) (*.f64 (/.f64 (*.f64 (*.f64 D D) h) l) #s(literal 1/8 binary64))) (*.f64 d d))) (*.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)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))) |
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(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 h #s(literal -1 binary64))) (sqrt.f64 l)) d)) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l))))) |
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 #s(approx (/ M 2) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (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))))) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #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)) |
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(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) |
(*.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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) M))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) #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 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #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 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1 binary64)))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(*.f64 #s(approx (sqrt (* (/ d l) (/ d h))) (*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 d (neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 (pow.f64 h #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (*.f64 d d) l)))) |
(*.f64 (*.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))) (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)))) |
(*.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 #s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 d d))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (pow.f64 D #s(literal -2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (*.f64 d d) l))) (*.f64 D D)))) |
(*.f64 (*.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 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (*.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 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) |
(*.f64 #s(approx (sqrt (* (/ d l) (/ d h))) (*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
7 calls:
| 23.0ms | D |
| 23.0ms | M |
| 22.0ms | d |
| 22.0ms | h |
| 22.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.9% | 1 | (*.f64 M D) |
| 79.3% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 83.2% | 4 | d |
| 80.7% | 3 | h |
| 79.9% | 3 | l |
| 72.9% | 1 | M |
| 72.9% | 1 | D |
Compiled 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 h) (sqrt.f64 l))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.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 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 h l) #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 h l) #s(literal -1/2 binary64)) (neg.f64 d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M))) M) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 d d)) #s(literal -1/8 binary64) (/.f64 l M)) l)) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))) |
#s(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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M h) l)) #s(literal -1/8 binary64) (/.f64 (*.f64 d d) M)) (*.f64 d d))) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 #s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 l (*.f64 M M))) l)) 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)))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 l (*.f64 M M)) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) h) (*.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 (*.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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 (*.f64 d d) (*.f64 M M)) (*.f64 (/.f64 (*.f64 (*.f64 D D) h) l) #s(literal 1/8 binary64))) (*.f64 d d))) (*.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)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #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 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 h #s(literal -1 binary64))) (sqrt.f64 l)) d)) |
(*.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)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (pow.f64 M #s(literal -2 binary64))) (*.f64 M M)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #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 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 #s(approx (/ M 2) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #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)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) #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)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d h)) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 #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 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 h l)))) (*.f64 M M))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) h)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #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)))) |
(*.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)) (*.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) |
(*.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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) M))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) #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 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #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 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1 binary64)))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(*.f64 #s(approx (sqrt (* (/ d l) (/ d h))) (*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) (neg.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 d (neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (*.f64 (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) |
2 calls:
| 18.0ms | (*.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)))) |
| 18.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.3% | 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)))) |
| 80.8% | 4 | 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 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 h) (sqrt.f64 l))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.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 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 h l) #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 h l) #s(literal -1/2 binary64)) (neg.f64 d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M))) M) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 d d)) #s(literal -1/8 binary64) (/.f64 l M)) l)) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))) |
#s(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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M h) l)) #s(literal -1/8 binary64) (/.f64 (*.f64 d d) M)) (*.f64 d d))) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 #s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 l (*.f64 M M))) l)) 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)))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 l (*.f64 M M)) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) h) (*.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 (*.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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 (*.f64 d d) (*.f64 M M)) (*.f64 (/.f64 (*.f64 (*.f64 D D) h) l) #s(literal 1/8 binary64))) (*.f64 d d))) (*.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)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #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 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 h #s(literal -1 binary64))) (sqrt.f64 l)) d)) |
(*.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)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (pow.f64 M #s(literal -2 binary64))) (*.f64 M M)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #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 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 #s(approx (/ M 2) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #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)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) #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)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d h)) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 #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 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 h l)))) (*.f64 M M))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) h)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #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)))) |
(*.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)) (*.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) |
(*.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 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) M) M))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) #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 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #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 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1 binary64)))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 h l)))) (*.f64 D D))) h)) |
3 calls:
| 35.0ms | h |
| 21.0ms | l |
| 14.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.9% | 1 | l |
| 76.2% | 3 | h |
| 77.7% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
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 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 h) (sqrt.f64 l))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.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 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 h l) #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 h l) #s(literal -1/2 binary64)) (neg.f64 d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M))) M) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 d d)) #s(literal -1/8 binary64) (/.f64 l M)) l)) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))) |
#s(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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M h) l)) #s(literal -1/8 binary64) (/.f64 (*.f64 d d) M)) (*.f64 d d))) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 #s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 l (*.f64 M M))) l)) 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)))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 l (*.f64 M M)) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) h) (*.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 (*.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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 (*.f64 d d) (*.f64 M M)) (*.f64 (/.f64 (*.f64 (*.f64 D D) h) l) #s(literal 1/8 binary64))) (*.f64 d d))) (*.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)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #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 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 h #s(literal -1 binary64))) (sqrt.f64 l)) d)) |
(*.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)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (pow.f64 M #s(literal -2 binary64))) (*.f64 M M)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #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 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 #s(approx (/ M 2) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #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)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) #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)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d h)) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 #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 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (pow.f64 M #s(literal -2 binary64))) 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 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (pow.f64 (/.f64 h l) #s(literal 3/2 binary64)) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 h l)))) (*.f64 M M))) h)) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
2 calls:
| 16.0ms | d |
| 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 |
|---|---|---|
| 76.9% | 3 | d |
| 77.0% | 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 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 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 h) (sqrt.f64 l))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.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 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 h l) #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 h l) #s(literal -1/2 binary64)) (neg.f64 d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M))) M) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 d d)) #s(literal -1/8 binary64) (/.f64 l M)) l)) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))) |
#s(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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M h) l)) #s(literal -1/8 binary64) (/.f64 (*.f64 d d) M)) (*.f64 d d))) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 #s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 l (*.f64 M M))) l)) 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)))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 l (*.f64 M M)) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) h) (*.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 (*.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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 (*.f64 d d) (*.f64 M M)) (*.f64 (/.f64 (*.f64 (*.f64 D D) h) l) #s(literal 1/8 binary64))) (*.f64 d d))) (*.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)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #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 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 h #s(literal -1 binary64))) (sqrt.f64 l)) d)) |
(*.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)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (pow.f64 M #s(literal -2 binary64))) (*.f64 M M)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #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 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 #s(approx (/ M 2) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #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)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) #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)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d h)) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #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 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #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 h l)))) |
2 calls:
| 14.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 12.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.5% | 3 | d |
| 74.7% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
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 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 h) (sqrt.f64 l))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.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 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 h l) #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 h l) #s(literal -1/2 binary64)) (neg.f64 d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M))) M) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 d d)) #s(literal -1/8 binary64) (/.f64 l M)) l)) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))) |
#s(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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M h) l)) #s(literal -1/8 binary64) (/.f64 (*.f64 d d) M)) (*.f64 d d))) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 #s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 l (*.f64 M M))) l)) 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)))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 l (*.f64 M M)) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) h) (*.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 (*.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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 (*.f64 d d) (*.f64 M M)) (*.f64 (/.f64 (*.f64 (*.f64 D D) h) l) #s(literal 1/8 binary64))) (*.f64 d d))) (*.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)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #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 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (pow.f64 h #s(literal -1 binary64))) (sqrt.f64 l)) d)) |
(*.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)) (*.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M M) (*.f64 D D)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (pow.f64 M #s(literal -2 binary64))) (*.f64 M M)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #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 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (+.f64 d d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 #s(approx (/ M 2) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #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)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) #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)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 (*.f64 d (/.f64 d h)) l))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #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 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)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
7 calls:
| 17.0ms | (*.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)))) |
| 14.0ms | l |
| 14.0ms | M |
| 13.0ms | d |
| 11.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.6% | 1 | l |
| 70.6% | 1 | (*.f64 M D) |
| 70.6% | 1 | M |
| 70.6% | 1 | D |
| 74.3% | 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)))) |
| 74.7% | 3 | h |
| 70.6% | 1 | d |
Compiled 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 h) (sqrt.f64 l))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.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 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 h l) #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 h l) #s(literal -1/2 binary64)) (neg.f64 d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M))) M) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 d d)) #s(literal -1/8 binary64) (/.f64 l M)) l)) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 M M)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 (*.f64 d d) l))) (*.f64 M M)))) |
#s(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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M h) l)) #s(literal -1/8 binary64) (/.f64 (*.f64 d d) M)) (*.f64 d d))) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 #s(approx (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 l (*.f64 M M))) l)) 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)))) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 l (*.f64 M M)) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) h) (*.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 (*.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 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.f64 (-.f64 (/.f64 (*.f64 d d) (*.f64 M M)) (*.f64 (/.f64 (*.f64 (*.f64 D D) h) l) #s(literal 1/8 binary64))) (*.f64 d d))) (*.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)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 d d)) #s(literal -1/8 binary64) (/.f64 l M)) l)) 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 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
7 calls:
| 11.0ms | M |
| 11.0ms | h |
| 7.0ms | D |
| 7.0ms | d |
| 7.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.7% | 3 | l |
| 55.6% | 3 | d |
| 51.8% | 2 | M |
| 50.4% | 2 | (*.f64 M D) |
| 47.4% | 2 | D |
| 51.5% | 5 | h |
| 63.4% | 4 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 h) (sqrt.f64 l))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64))) M))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (/.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 #s(approx (sqrt (pow (* l h) -1)) (neg.f64 (pow.f64 (*.f64 h l) #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 h l) #s(literal -1/2 binary64)) (neg.f64 d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 (*.f64 d d) l))) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 M M))) M) M))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 #s(approx (* (+ (* (* (* D D) (/ h (* (* d d) l))) -1/8) (pow M -2)) M) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) M) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 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)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
1 calls:
| 4.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 4 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 h) (sqrt.f64 l))) d)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(approx (* (- (pow M -2) (/ (* 1/8 (* (* D D) h)) (* (* d d) l))) (* M M)) #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 (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
5 calls:
| 5.0ms | M |
| 3.0ms | l |
| 3.0ms | (*.f64 M D) |
| 3.0ms | d |
| 3.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.4% | 2 | (*.f64 M D) |
| 42.3% | 2 | M |
| 45.8% | 2 | d |
| 49.4% | 3 | l |
| 52.2% | 4 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 41 to 43 computations (-4.9% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 h) (sqrt.f64 l))) d)) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 h) (sqrt.f64 l))) d)) |
2 calls:
| 3.0ms | l |
| 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 |
|---|---|---|
| 49.4% | 3 | l |
| 46.2% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
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 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 d (neg.f64 (sqrt.f64 (/.f64 h l))))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
5 calls:
| 5.0ms | h |
| 3.0ms | D |
| 2.0ms | l |
| 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 |
|---|---|---|
| 46.2% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 41.8% | 2 | d |
| 45.3% | 4 | h |
| 42.5% | 3 | D |
| 45.8% | 3 | l |
Compiled 39 to 42 computations (-7.7% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(approx (+ (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (pow (/ h l) 3))) (* (sqrt (/ h l)) d)) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) |
3 calls:
| 2.0ms | l |
| 2.0ms | (*.f64 M D) |
| 2.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.2% | 2 | (*.f64 M D) |
| 42.7% | 2 | l |
| 41.6% | 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 39 to 33 computations (15.4% saved)
Total -0.3b remaining (-0.6%)
Threshold costs -0.3b (-0.6%)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) |
7 calls:
| 5.0ms | M |
| 1.0ms | D |
| 1.0ms | h |
| 1.0ms | l |
| 1.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 21.4% | 1 | (*.f64 M D) |
| 21.4% | 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)))) |
| 21.4% | 1 | D |
| 21.4% | 1 | d |
| 21.4% | 1 | h |
| 21.4% | 1 | M |
| 21.4% | 1 | l |
Compiled 43 to 53 computations (-23.3% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 68.0ms | 8.6901103264698e-211 | 2.011890203666245e-206 |
| 67.0ms | -1.3839792769621771e-182 | -2.852680144119819e-188 |
| 24.0ms | -1.144227574136333e-51 | -2.113659506499243e-52 |
| 95.0ms | 368× | 0 | valid |
| 37.0ms | 336× | 0 | invalid |
Compiled 2 298 to 1 596 computations (30.5% saved)
ival-mult!: 51.0ms (48.5% of total)ival-div!: 29.0ms (27.6% of total)ival-pow: 15.0ms (14.3% of total)ival-pow2: 8.0ms (7.6% of total)ival-sub!: 2.0ms (1.9% of total)adjust: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 38 to 30 computations (21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 38 to 30 computations (21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 38 to 30 computations (21.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 46.0ms | 4.28261261806283e-164 | 1.4893766286339893e-156 |
| 72.0ms | -1.5464009337990447e-104 | -2.205568442163461e-115 |
| 66.0ms | 304× | 0 | valid |
| 29.0ms | 289× | 0 | invalid |
Compiled 1 843 to 1 170 computations (36.5% saved)
ival-mult!: 40.0ms (55% of total)ival-pow: 12.0ms (16.5% of total)ival-div!: 12.0ms (16.5% of total)ival-pow2: 6.0ms (8.2% of total)ival-sub!: 1.0ms (1.4% of total)adjust: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.259352319339369e+245 | 2.3221996529064496e+247 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.259352319339369e+245 | 2.3221996529064496e+247 |
| 0.0ms | 0.0 | 6.819120124783819e-290 |
| 0.0ms | -2.4853577349030607e-39 | -2.7725643278965595e-44 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.259352319339369e+245 | 2.3221996529064496e+247 |
| 0.0ms | 0.0 | 6.819120124783819e-290 |
| 0.0ms | -3.061192237287131e-189 | 0.0 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.259352319339369e+245 | 2.3221996529064496e+247 |
| 0.0ms | 0.0 | 6.819120124783819e-290 |
| 0.0ms | -3.061192237287131e-189 | 0.0 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 48.0ms | -6.799227147318996e-307 | 2.3108097608615001e-302 |
| 33.0ms | -7.219135921508121e-104 | -1.763890031361579e-105 |
| 34.0ms | 256× | 0 | valid |
| 30.0ms | 245× | 0 | invalid |
Compiled 1 862 to 1 182 computations (36.5% saved)
ival-pow: 18.0ms (38.1% of total)ival-div!: 11.0ms (23.3% of total)ival-mult!: 11.0ms (23.3% of total)ival-pow2: 5.0ms (10.6% of total)ival-sub!: 1.0ms (2.1% of total)adjust: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.259352319339369e+245 | 2.3221996529064496e+247 |
| 0.0ms | -3.061192237287131e-189 | 0.0 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | -2.6495197615643383e-125 | -8.908519948594756e-126 |
| 10.0ms | 80× | 0 | valid |
| 7.0ms | 65× | 0 | invalid |
Compiled 483 to 325 computations (32.7% saved)
ival-pow: 4.0ms (31.8% of total)ival-div!: 3.0ms (23.9% of total)ival-mult!: 3.0ms (23.9% of total)ival-pow2: 2.0ms (15.9% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)| 1× | fuel |
Compiled 2 338 to 230 computations (90.2% saved)
(sort M D)
(abs D)
(abs M)
Compiled 22 098 to 6 940 computations (68.6% saved)
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