
Time bar (total: 10.0s)
| 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)
| 1.9s | 13 241× | 0 | invalid |
| 1.7s | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-mult!: 697.0ms (26.8% of total)ival-div!: 636.0ms (24.4% of total)ival-pow: 608.0ms (23.4% of total)ival-pow2: 603.0ms (23.2% of total)ival-sub!: 53.0ms (2% of total)adjust: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 61 | 0 | - | 2 | (1.312774065739697e-121 2.2092826524390196e-174 2.061891169487779e+197 -5.898125335243899e-54 -4.5970978046284086e+24) | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 55 | 0 | - | 2 | (2.7573401257157747e-207 7.673514152382535e+106 8.913420748579753e-162 3.223487989701657e-204 1.0712765909752975e+152) | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 46 | 1 | (3.04088362712623e+265 6.376939090988248e+52 6.556792303385783e-246 -8.57000670362218e-308 7.809765304822817e+262) | 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)) |
| 31 | 0 | - | 1 | (-1.0381582203017363e-207 -7.828724176500985e+136 -2.660805221019684e+90 -1.0701934090830975e-178 3.075372549611242e-18) | (*.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)))) |
| 19 | 0 | - | 2 | (1.2711759980097794e-54 1.1587480117642578e+290 4.2832078326059277e+33 -7.163508662781428e-273 2.24153294867015e-39) | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 0 | 0 | - | 0 | - | D |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) d) |
| 0 | 0 | - | 0 | - | (/.f64 h l) |
| 0 | 0 | - | 0 | - | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 d l) |
| 0 | 0 | - | 0 | - | (*.f64 M D) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 d h) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | l |
| 0 | 0 | - | 0 | - | (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | M |
| 0 | 0 | - | 0 | - | h |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 33 | 0 |
| ↳ | (/.f64 d l) | overflow | 33 | |
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 29 | 0 |
| ↳ | (/.f64 d h) | underflow | 29 | |
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 26 | 0 |
| ↳ | (/.f64 d l) | underflow | 26 | |
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 24 | 0 |
| ↳ | (/.f64 d h) | overflow | 24 | |
*.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 | 22 | 0 |
*.f64 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | n*o | 12 | 0 |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | o/n | 8 | 0 |
| ↳ | (*.f64 M D) | overflow | 35 | |
*.f64 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | u*o | 5 | 0 |
| ↳ | (/.f64 d h) | underflow | 29 | |
| ↳ | (/.f64 d l) | underflow | 26 | |
| ↳ | (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) | underflow | 12 | |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 91 | |
| ↳ | (*.f64 (/.f64 #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 | 91 | |
| ↳ | (/.f64 h l) | overflow | 36 | |
| ↳ | (-.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 | 99 | |
| ↳ | (*.f64 (*.f64 (/.f64 #s(literal 1 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 | 99 | |
| ↳ | (*.f64 M D) | overflow | 35 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 46 | |
*.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 | 3 | 0 |
*.f64 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | o*u | 3 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 91 | |
| ↳ | (*.f64 (/.f64 #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 | 91 | |
| ↳ | (*.f64 M D) | overflow | 35 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 46 | |
| ↳ | (/.f64 h l) | underflow | 24 | |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | u/n | 3 | 0 |
| ↳ | (*.f64 M D) | underflow | 25 | |
*.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 | 2 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | underflow | 63 | |
| ↳ | (*.f64 (/.f64 #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 | 63 | |
| ↳ | (*.f64 M D) | underflow | 25 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | underflow | 30 | |
| ↳ | (/.f64 h l) | overflow | 36 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 83 | 9 |
| - | 35 | 129 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 83 | 0 | 9 |
| - | 35 | 0 | 129 |
| number | freq |
|---|---|
| 0 | 138 |
| 1 | 76 |
| 2 | 32 |
| 3 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 78.0ms | 512× | 0 | valid |
Compiled 347 to 70 computations (79.8% saved)
ival-pow: 20.0ms (38.8% of total)ival-div!: 13.0ms (25.2% of total)ival-mult!: 12.0ms (23.3% of total)ival-pow2: 6.0ms (11.6% of total)ival-sub!: 1.0ms (1.9% of total)adjust: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 171 | 588 |
| 1 | 546 | 580 |
| 2 | 2128 | 575 |
| 3 | 6640 | 575 |
| 0 | 22 | 29 |
| 0 | 38 | 27 |
| 1 | 67 | 27 |
| 2 | 180 | 27 |
| 3 | 1202 | 27 |
| 4 | 4872 | 27 |
| 0 | 8241 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(abs M)
(abs D)
(sort M D)
Compiled 35 to 22 computations (37.1% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (/ (* M D) (* 2 d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (/ (* M D) (* 2 d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (* 2 d) #s(hole binary64 (* 2 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx h #s(hole binary64 h)) |
#s(approx (/ h l) #s(hole binary64 (/ h l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | M | @ | 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)) |
| 25.0ms | 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)) |
| 11.0ms | D | @ | 0 | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) M D (* 2 d) (/ h l)) |
| 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)) |
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)
23 alts after pruning (23 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 95 | 23 | 118 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 96 | 23 | 119 |
| Status | Accuracy | Program |
|---|---|---|
| 64.7% | (*.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)))) | |
| 38.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (/.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)))))) | |
| ▶ | 68.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) |
| 44.6% | (*.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 (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)))) | |
| ▶ | 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))) (/.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))) |
| 27.6% | (*.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)))) | |
| 40.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (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)))) | |
| 65.3% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 33.0% | (*.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)))) | |
| 65.4% | (*.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)))) | |
| 65.4% | (*.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)))) | |
| 64.7% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) | |
| ▶ | 37.2% | (*.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)))) |
| 31.4% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 18.1% | #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) (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)) | |
| 48.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)) | |
| 20.3% | #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))) | |
| 29.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.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)) | |
| 18.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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))) | |
| ▶ | 21.6% | #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)))))) |
| 18.6% | #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 (*.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)))))) | |
| 26.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) | |
| ▶ | 19.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
Compiled 2 222 to 1 432 computations (35.6% 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 (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 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 (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 (*.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 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(/.f64 M #s(literal 2 binary64)) |
M |
(/.f64 D d) |
D |
#s(literal 1/2 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d) |
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) |
(pow.f64 (*.f64 l h) #s(literal -1 binary64)) |
(*.f64 l h) |
#s(literal -1 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (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) |
(*.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)))) |
#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 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))) |
(*.f64 #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))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 M D) |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d))) l))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d))) l)) |
(/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d))) l) |
(-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) |
#s(literal 1/8 binary64) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) |
(*.f64 d d) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (sqrt (/ d h)))) |
#s(approx (/ d h) #s(hole binary64 (/ d h))) |
#s(approx d #s(hole binary64 d)) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (sqrt (/ d l)))) |
#s(approx (/ d l) #s(hole binary64 (/ d l))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (* (/ M 2) (/ D d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (/ M 2) (/ D d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (/ D d) #s(hole binary64 (/ D d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) 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 d) (sqrt (pow (* l h) -1))) #s(hole binary64 (* -1 (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* -1 d) #s(hole binary64 (* -1 d))) |
#s(approx (- 1 (* (* (/ 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 (/ (- l (/ (* 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 (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)))) |
#s(approx (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) #s(hole binary64 (/ (- (* (pow d 2) l) (* 1/8 (* (pow D 2) (* (pow M 2) h)))) (pow d 2)))) |
#s(approx (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (* d d) #s(hole binary64 (pow d 2))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 1)) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 1)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) #s(hole binary64 1)) |
#s(approx (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) #s(hole binary64 l)) |
#s(approx (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) #s(hole binary64 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx h #s(hole binary64 h)) |
#s(approx (* (* (pow (/ 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 (/ h l) #s(hole binary64 (/ 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 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) #s(hole binary64 (* h (- (/ l h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (pow (/ d h) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d h)) (pow (sqrt -1) 2)))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (sqrt (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 d) (sqrt (pow (* l h) -1))) #s(hole binary64 (* -1 (* (* 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 (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))) |
#s(approx (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) #s(hole binary64 (* -1 (* h (- (* -1 (/ l h)) (* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (pow l 3) #s(hole binary64 (pow l 3))) |
#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 (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) #s(hole binary64 (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) #s(hole binary64 (* l (+ 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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) #s(hole binary64 (* -1 (* l (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))))) |
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2)))) |
#s(approx (* D M) #s(hole binary64 (* D M))) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) #s(hole binary64 (* (pow M 2) (- (/ l (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (pow d 2))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) #s(hole binary64 (* (pow D 2) (- (/ l (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (pow d 2))))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 776.0ms | M | @ | inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (pow (* D M) 2) 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)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d)) (* 1/8 (* (pow (* D M) 2) h)) 1/8 (* (pow (* D M) 2) h) (* d d)) |
| 44.0ms | d | @ | 0 | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (pow (* D M) 2) 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)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d)) (* 1/8 (* (pow (* D M) 2) h)) 1/8 (* (pow (* D M) 2) h) (* d d)) |
| 21.0ms | h | @ | inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (pow (* D M) 2) 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)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d)) (* 1/8 (* (pow (* D M) 2) h)) 1/8 (* (pow (* D M) 2) h) (* d d)) |
| 9.0ms | h | @ | -inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (pow (* D M) 2) 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)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d)) (* 1/8 (* (pow (* D M) 2) h)) 1/8 (* (pow (* D M) 2) h) (* d d)) |
| 9.0ms | d | @ | -inf | ((* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ d h) d h (/ 1 2) 1 2 (pow (/ d l) (/ 1 2)) (/ d l) l (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) (* l h) -1 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (pow (* D M) 2) 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)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (* -1 d) (sqrt (pow (* l h) -1))) (* -1 d) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d)) (* 1/8 (* (pow (* D M) 2) h)) 1/8 (* (pow (* D M) 2) h) (* d d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 409 | 4635 |
| 0 | 487 | 4235 |
| 0 | 1579 | 4165 |
| 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 (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 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 (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 (*.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 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(/.f64 M #s(literal 2 binary64)) |
M |
(/.f64 D d) |
D |
#s(literal 1/2 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d) |
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) |
(pow.f64 (*.f64 l h) #s(literal -1 binary64)) |
(*.f64 l h) |
#s(literal -1 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (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))))) |
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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 (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 (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) #s(hole binary64 (* -1 (* l (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))))) |
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2)))) |
#s(approx (* D M) #s(hole binary64 (* D M))) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) #s(hole binary64 (* (pow M 2) (- (/ l (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (pow d 2))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) #s(hole binary64 (* (pow D 2) (- (/ l (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (pow d 2))))))) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (*.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 (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 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 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 (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 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.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 binary64) (*.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 #s(literal 1 binary64) (pow.f64 (*.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 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.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 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 binary64) (*.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 binary64) (*.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 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 (/.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 (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 1/2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h))) (neg.f64 l)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l) |
(*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) |
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) |
(*.f64 h (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 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)) |
M |
(/.f64 (neg.f64 D) (neg.f64 d)) |
(/.f64 D d) |
D |
#s(literal 1/2 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d) |
(*.f64 d (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 h #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 l h) #s(literal -1 binary64)) |
(/.f64 (pow.f64 h #s(literal -1 binary64)) l) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64))) |
(*.f64 l h) |
(*.f64 h l) |
#s(literal -1 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (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 (/.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 (*.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 #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) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 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 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(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
(*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (neg.f64 d)) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
(*.f64 d (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) |
(*.f64 #s(literal -1 binary64) d) |
(*.f64 d #s(literal -1 binary64)) |
(neg.f64 d) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.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 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 binary64) (*.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 #s(literal 1 binary64) (pow.f64 (*.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 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.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 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 binary64) (*.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 binary64) (*.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 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 (/.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 (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 1/2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h))) (neg.f64 l)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #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 D M) |
(*.f64 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) |
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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 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h)) |
#s(approx (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) 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 (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (*.f64 (-.f64 (/.f64 l h) (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d)) #s(literal 1/8 binary64))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (*.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 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64)))))) h))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 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 (*.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 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64)))))) h))) |
#s(approx (* (sqrt (pow (* l h) -1)) d) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (sqrt (pow (* l h) -1)) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) #s(literal -1 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 d) (sqrt (pow (* l h) -1))) (neg.f64 (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h)) |
#s(approx (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) (neg.f64 (*.f64 (-.f64 (*.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 (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (neg.f64 (*.f64 (-.f64 (neg.f64 (/.f64 l h)) (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d)) #s(literal -1/8 binary64))) h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l))) |
#s(approx l l) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 l h)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l))) |
#s(approx (pow l 3) (pow.f64 l #s(literal 3 binary64))) |
#s(approx (- 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)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l)) |
#s(approx (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) l) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l)) |
#s(approx (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d))) |
#s(approx (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (*.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)) l)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64)))) |
#s(approx (pow (/ d l) (/ 1 2)) (*.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 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64)))) |
#s(approx (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (neg.f64 (*.f64 (-.f64 (*.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)) l))) |
#s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) |
#s(approx M M) |
#s(approx (pow (* D M) 2) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) |
#s(approx (* M D) (*.f64 D M)) |
#s(approx (* M D) (*.f64 D M)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M))) |
#s(approx (- 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)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 M M))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (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 (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) 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 (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (*.f64 (-.f64 (/.f64 l (*.f64 M M)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D D) h)) (*.f64 d d))) (*.f64 M M))) |
#s(approx D D) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D))) |
#s(approx (- 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)) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) (*.f64 D D))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (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 (/ (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) 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 (- l (/ (* 1/8 (* (pow (* D M) 2) h)) (* d d))) (*.f64 (-.f64 (/.f64 l (*.f64 D D)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 M M) h)) (*.f64 d d))) (*.f64 D D))) |
Compiled 19 037 to 1 368 computations (92.8% saved)
35 alts after pruning (35 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 361 | 26 | 387 |
| Fresh | 9 | 9 | 18 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 375 | 35 | 410 |
| Status | Accuracy | Program |
|---|---|---|
| 42.8% | (*.f64 (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d))) l))) | |
| 38.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (/.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)))))) | |
| 44.6% | (*.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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l) #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 d d)))) | |
| ▶ | 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 l (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 d d))) l))) |
| 27.6% | (*.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)))) | |
| 40.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (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)))) | |
| 54.3% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) #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))) | |
| 25.8% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d))) l))) | |
| 68.8% | (*.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 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l))) | |
| 54.4% | (*.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)))) #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))) | |
| ▶ | 68.9% | (*.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))) |
| 65.4% | (*.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)))) | |
| ▶ | 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))) (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) |
| 64.7% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) | |
| 54.1% | (*.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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l)))) | |
| 33.3% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) (-.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))) | |
| 24.1% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) #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))) | |
| 37.1% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 37.4% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 37.2% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 31.4% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 18.1% | #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 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (*.f64 d d))) d)) | |
| 48.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)) | |
| 29.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.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)) | |
| 17.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) | |
| 17.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) | |
| 18.6% | #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 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64))) | |
| ▶ | 18.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 (sqrt.f64 h) (sqrt.f64 (pow.f64 l #s(literal 3 binary64)))))) |
| 21.6% | #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))))) | |
| 26.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) | |
| 19.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) | |
| ▶ | 19.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 19.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 h #s(literal -1 binary64)))) d)) | |
| 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 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d)) | |
| 26.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
Compiled 3 394 to 2 222 computations (34.5% saved)
| Inputs |
|---|
(*.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 (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 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)) |
#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 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(/.f64 M #s(literal 2 binary64)) |
M |
#s(literal 2 binary64) |
(/.f64 D d) |
D |
#s(literal 1/2 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(*.f64 l h) |
(*.f64 (*.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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) |
#s(approx (- 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)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) |
(/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) |
(pow.f64 (*.f64 D M) #s(literal 2 binary64)) |
(*.f64 D M) |
(*.f64 d d) |
#s(literal -1/8 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 (sqrt.f64 h) (sqrt.f64 (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)) (/.f64 (sqrt.f64 h) (sqrt.f64 (pow.f64 l #s(literal 3 binary64))))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) |
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) |
(/.f64 (sqrt.f64 h) (sqrt.f64 (pow.f64 l #s(literal 3 binary64)))) |
(sqrt.f64 h) |
(sqrt.f64 (pow.f64 l #s(literal 3 binary64))) |
(pow.f64 l #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.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))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 d d))) l)) |
(/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 d d))) l) |
(-.f64 l (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 d d))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 d d)) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 D D)) |
#s(literal 1/8 binary64) |
(*.f64 D D) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
| Outputs |
|---|
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (* (/ M 2) (/ D d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (/ M 2) (/ D d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (/ D d) #s(hole binary64 (/ D d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (sqrt (/ 1 (* l h))) d) #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 (* -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 (* D M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (/ (+ (* -1/8 (* (pow D 2) (* (pow M 2) h))) (* (pow d 2) l)) (pow d 2)))) |
#s(approx (/ (* (pow (* D M) 2) h) (* d d)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
#s(approx (* d d) #s(hole binary64 (pow d 2))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) d)) (/ (sqrt h) (sqrt (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 (* (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 (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (/ (- (* (pow d 2) l) (* 1/8 (* (pow D 2) (* (pow M 2) h)))) (pow d 2)))) |
#s(approx (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 1)) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (* (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 M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 1)) |
#s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 l)) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))) |
#s(approx (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 1)) |
#s(approx (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 l)) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (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)) (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 (* (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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx h #s(hole binary64 h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (sqrt (/ 1 (* l h))) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (/ 1 (* l h)) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (* l h) #s(hole binary64 (* h l))) |
#s(approx (* (* (sqrt (/ 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 (* (pow (* D M) 2) h) #s(hole binary64 (* (pow D 2) (* (pow M 2) h)))) |
#s(approx (/ (sqrt h) (sqrt (pow l 3))) #s(hole binary64 (sqrt (/ h (pow l 3))))) |
#s(approx (sqrt h) #s(hole binary64 (sqrt h))) |
#s(approx (* (* 1/8 (* D D)) (* (* M M) h)) #s(hole binary64 (* 1/8 (* (pow D 2) (* (pow M 2) h))))) |
#s(approx (* (* M M) h) #s(hole binary64 (* (pow M 2) h))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (* (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 M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (/ l h))))) |
#s(approx (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (* h (- (/ l h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ 1 (* l h))) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (* (* (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 (* D M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (* -1 (* h (+ (* -1 (/ l h)) (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) d)) (/ (sqrt h) (sqrt (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) (sqrt (pow l 3))) #s(hole binary64 (* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2))))) |
#s(approx (sqrt h) #s(hole binary64 (* -1 (* (sqrt h) (pow (sqrt -1) 2))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #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 (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (* -1 (* h (- (* -1 (/ l h)) (* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (* (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 (* D M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (sqrt (pow l 3)) #s(hole binary64 (sqrt (pow l 3)))) |
#s(approx (pow l 3) #s(hole binary64 (pow l 3))) |
#s(approx (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (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 M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (* l (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (* l (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (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)) (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 (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (* -1 (* l (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) d)) (/ (sqrt h) (sqrt (pow l 3)))) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (sqrt h) (sqrt (pow l 3))) #s(hole binary64 (* -1 (sqrt (/ h (pow l 3)))))) |
#s(approx (sqrt (pow l 3)) #s(hole binary64 (* (sqrt (pow l 3)) (pow (sqrt -1) 2)))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (* -1 (* l (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))))) |
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2)))) |
#s(approx (* D M) #s(hole binary64 (* D M))) |
#s(approx (* M M) #s(hole binary64 (pow M 2))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (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 M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (pow d 2))) (/ l (pow M 2)))))) |
#s(approx (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (* (pow M 2) (- (/ l (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (pow d 2))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* 1/8 (* D D)) #s(hole binary64 (* 1/8 (pow D 2)))) |
#s(approx (* D D) #s(hole binary64 (pow D 2))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (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 M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (pow d 2))) (/ l (pow D 2)))))) |
#s(approx (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (* (pow D 2) (- (/ l (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (pow d 2))))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | h | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l 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 (* D M) 2) h) (* d d)) -1/8) l) l) (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) (/ (* (pow (* D M) 2) h) (* d d)) (* (pow (* D M) 2) h) (pow (* D M) 2) (* D M) (* d d) -1/8 (* (* (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) (sqrt (pow l 3)))) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (/ (sqrt h) (sqrt (pow l 3))) (sqrt h) (sqrt (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)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ 1 2) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d)) (* (* 1/8 (* D D)) (* (* M M) h)) (* 1/8 (* D D)) 1/8 (* D D) (* (* M M) h) (* M M)) |
| 22.0ms | l | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l 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 (* D M) 2) h) (* d d)) -1/8) l) l) (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) (/ (* (pow (* D M) 2) h) (* d d)) (* (pow (* D M) 2) h) (pow (* D M) 2) (* D M) (* d d) -1/8 (* (* (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) (sqrt (pow l 3)))) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (/ (sqrt h) (sqrt (pow l 3))) (sqrt h) (sqrt (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)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ 1 2) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d)) (* (* 1/8 (* D D)) (* (* M M) h)) (* 1/8 (* D D)) 1/8 (* D D) (* (* M M) h) (* M M)) |
| 11.0ms | D | @ | inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l 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 (* D M) 2) h) (* d d)) -1/8) l) l) (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) (/ (* (pow (* D M) 2) h) (* d d)) (* (pow (* D M) 2) h) (pow (* D M) 2) (* D M) (* d d) -1/8 (* (* (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) (sqrt (pow l 3)))) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (/ (sqrt h) (sqrt (pow l 3))) (sqrt h) (sqrt (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)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ 1 2) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d)) (* (* 1/8 (* D D)) (* (* M M) h)) (* 1/8 (* D D)) 1/8 (* D D) (* (* M M) h) (* M M)) |
| 9.0ms | d | @ | inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l 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 (* D M) 2) h) (* d d)) -1/8) l) l) (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) (/ (* (pow (* D M) 2) h) (* d d)) (* (pow (* D M) 2) h) (pow (* D M) 2) (* D M) (* d d) -1/8 (* (* (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) (sqrt (pow l 3)))) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (/ (sqrt h) (sqrt (pow l 3))) (sqrt h) (sqrt (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)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ 1 2) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d)) (* (* 1/8 (* D D)) (* (* M M) h)) (* 1/8 (* D D)) 1/8 (* D D) (* (* M M) h) (* M M)) |
| 9.0ms | d | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) (* (pow (* (/ M 2) (/ D d)) 2) 1/2) (pow (* (/ M 2) (/ D d)) 2) (* (/ M 2) (/ D d)) (/ M 2) M 2 (/ D d) D 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* l 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 (* D M) 2) h) (* d d)) -1/8) l) l) (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) (/ (* (pow (* D M) 2) h) (* d d)) (* (pow (* D M) 2) h) (pow (* D M) 2) (* D M) (* d d) -1/8 (* (* (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) (sqrt (pow l 3)))) (* -1/8 (/ (pow (* D M) 2) d)) (/ (pow (* D M) 2) d) (/ (sqrt h) (sqrt (pow l 3))) (sqrt h) (sqrt (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)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (pow (/ d h) (/ 1 2)) (/ 1 2) (pow (/ d l) (/ 1 2)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d)) (* (* 1/8 (* D D)) (* (* M M) h)) (* 1/8 (* D D)) 1/8 (* D D) (* (* M M) h) (* M M)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 484 | 6328 |
| 0 | 566 | 5753 |
| 0 | 1822 | 5686 |
| 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 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) 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 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) l)) |
#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 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) h) |
(*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(/.f64 M #s(literal 2 binary64)) |
M |
#s(literal 2 binary64) |
(/.f64 D d) |
D |
#s(literal 1/2 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(*.f64 l h) |
(*.f64 (*.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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) |
#s(approx (- 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)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) |
(/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) |
(pow.f64 (*.f64 D M) #s(literal 2 binary64)) |
(*.f64 D M) |
(*.f64 d d) |
#s(literal -1/8 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 (sqrt.f64 h) (sqrt.f64 (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)) (/.f64 (sqrt.f64 h) (sqrt.f64 (pow.f64 l #s(literal 3 binary64))))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) |
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) |
(/.f64 (sqrt.f64 h) (sqrt.f64 (pow.f64 l #s(literal 3 binary64)))) |
(sqrt.f64 h) |
(sqrt.f64 (pow.f64 l #s(literal 3 binary64))) |
(pow.f64 l #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.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))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 d d))) l)) |
(/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 d d))) l) |
(-.f64 l (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 d d))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (*.f64 d d)) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 D D)) |
#s(literal 1/8 binary64) |
(*.f64 D D) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (* (pow (* (/ M 2) (/ D d)) 2) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (pow (* (/ M 2) (/ D d)) 2) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (/ M 2) (/ D d)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (/ D d) #s(hole binary64 (/ D d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (sqrt (/ 1 (* l h))) d) #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 (* -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 (* D M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (/ (+ (* -1/8 (* (pow D 2) (* (pow M 2) h))) (* (pow d 2) l)) (pow d 2)))) |
#s(approx (/ (* (pow (* D M) 2) h) (* d d)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
#s(approx (* d d) #s(hole binary64 (pow d 2))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) d)) (/ (sqrt h) (sqrt (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 (* (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 (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (/ (- (* (pow d 2) l) (* 1/8 (* (pow D 2) (* (pow M 2) h)))) (pow d 2)))) |
#s(approx (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d)) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 1)) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (* (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 M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 1)) |
#s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 l)) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))) |
#s(approx (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 1)) |
#s(approx (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 l)) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (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)) (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 (* (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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx h #s(hole binary64 h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (sqrt (/ 1 (* l h))) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (/ 1 (* l h)) #s(hole binary64 (/ 1 (* h l)))) |
#s(approx (* l h) #s(hole binary64 (* h l))) |
#s(approx (* (* (sqrt (/ 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 (* (pow (* D M) 2) h) #s(hole binary64 (* (pow D 2) (* (pow M 2) h)))) |
#s(approx (/ (sqrt h) (sqrt (pow l 3))) #s(hole binary64 (sqrt (/ h (pow l 3))))) |
#s(approx (sqrt h) #s(hole binary64 (sqrt h))) |
#s(approx (* (* 1/8 (* D D)) (* (* M M) h)) #s(hole binary64 (* 1/8 (* (pow D 2) (* (pow M 2) h))))) |
#s(approx (* (* M M) h) #s(hole binary64 (* (pow M 2) h))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (* (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 M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (/ l h))))) |
#s(approx (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (* h (- (/ l h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (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 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (sqrt (/ 1 (* l h))) d) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (sqrt (/ 1 (* l h))) #s(hole binary64 (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)))) |
#s(approx (* (* (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 (* D M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (* -1 (* h (+ (* -1 (/ l h)) (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) d)) (/ (sqrt h) (sqrt (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) (sqrt (pow l 3))) #s(hole binary64 (* -1 (* (sqrt (/ h (pow l 3))) (pow (sqrt -1) 2))))) |
#s(approx (sqrt h) #s(hole binary64 (* -1 (* (sqrt h) (pow (sqrt -1) 2))))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #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 (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (* -1 (* h (- (* -1 (/ l h)) (* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (* (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 (* D M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (sqrt (pow l 3)) #s(hole binary64 (sqrt (pow l 3)))) |
#s(approx (pow l 3) #s(hole binary64 (pow l 3))) |
#s(approx (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 (/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (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 M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (* l (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (* l (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (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)) (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 (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (* -1 (* l (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) d)) (/ (sqrt h) (sqrt (pow l 3)))) #s(hole binary64 (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (/ (sqrt h) (sqrt (pow l 3))) #s(hole binary64 (* -1 (sqrt (/ h (pow l 3)))))) |
#s(approx (sqrt (pow l 3)) #s(hole binary64 (* (sqrt (pow l 3)) (pow (sqrt -1) 2)))) |
#s(approx (pow (/ d l) (/ 1 2)) #s(hole binary64 (* (sqrt (/ d l)) (pow (sqrt -1) 2)))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (* -1 (* l (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))))) |
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2)))) |
#s(approx (* D M) #s(hole binary64 (* D M))) |
#s(approx (* M M) #s(hole binary64 (pow M 2))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (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 M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (pow d 2))) (/ l (pow M 2)))))) |
#s(approx (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (* (pow M 2) (- (/ l (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (pow d 2))))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* 1/8 (* D D)) #s(hole binary64 (* 1/8 (pow D 2)))) |
#s(approx (* D D) #s(hole binary64 (pow D 2))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (pow (* (/ M 2) (/ D d)) 2) 1/2) h) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (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 M) 2) h) (* d d)) -1/8) l) l) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (pow d 2))) (/ l (pow D 2)))))) |
#s(approx (/ (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) l) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (- l (/ (* (* 1/8 (* D D)) (* (* M M) h)) (* d d))) #s(hole binary64 (* (pow D 2) (- (/ l (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (pow d 2))))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)) (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 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 h l))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 h l))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h))) (neg.f64 l)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) h) |
(*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) |
(*.f64 h (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 M #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 D d) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(*.f64 M (/.f64 D (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (/.f64 (*.f64 D M) #s(literal 2 binary64)) d) |
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d) |
(/.f64 (neg.f64 (*.f64 D M)) (neg.f64 (*.f64 #s(literal 2 binary64) d))) |
(/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (neg.f64 M) #s(literal -2 binary64)) |
(/.f64 M #s(literal 2 binary64)) |
M |
#s(literal 2 binary64) |
(/.f64 (neg.f64 D) (neg.f64 d)) |
(/.f64 D d) |
D |
#s(literal 1/2 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (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 #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 (/.f64 #s(literal 1 binary64) l) h) |
(/.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) |
(*.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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) l) l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) l) l)))) |
(*.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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) l) l)))) |
(*.f64 #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 h (*.f64 d d))) #s(literal -1/8 binary64) l) l)) (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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) l) l)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) l)) (neg.f64 l)) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) l) l) |
(-.f64 (/.f64 l l) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal 1/8 binary64)) l)) |
(+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64)) l) (/.f64 l l)) |
(+.f64 (/.f64 l l) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64)) l)) |
(/.f64 (-.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal 1/8 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal 1/8 binary64)))) (+.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal 1/8 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64))) (*.f64 l l)) (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64)) l)) |
(/.f64 (-.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64)))) (-.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64)))) |
(/.f64 (-.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (fma.f64 l l (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal 1/8 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal 1/8 binary64)) (*.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal 1/8 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64)) (-.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64)) l)))) |
(/.f64 (+.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64)) #s(literal 3 binary64))) (fma.f64 l l (-.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64))) (*.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64)))))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) l) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) l) |
(-.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal 1/8 binary64))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64)) l) |
(+.f64 l (*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 h d)) |
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) d) d) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (neg.f64 (*.f64 d d))) |
(/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) |
(*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) |
(*.f64 (*.f64 D D) (*.f64 (*.f64 M M) h)) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) |
(*.f64 h (pow.f64 (*.f64 D M) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 1 binary64)) (pow.f64 (*.f64 D M) #s(literal 1 binary64))) |
(*.f64 (*.f64 D M) (*.f64 D M)) |
(*.f64 (*.f64 M M) (*.f64 D D)) |
(*.f64 (*.f64 D D) (*.f64 M M)) |
(pow.f64 (*.f64 D M) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 D M)) #s(literal 2 binary64))) |
(*.f64 D M) |
(*.f64 M D) |
(*.f64 (pow.f64 d #s(literal 1 binary64)) (pow.f64 d #s(literal 1 binary64))) |
(*.f64 (neg.f64 d) (neg.f64 d)) |
(*.f64 (fabs.f64 d) (fabs.f64 d)) |
(*.f64 d d) |
(pow.f64 d #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 d) #s(literal 2 binary64))) |
#s(literal -1/8 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 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 h) (pow.f64 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 h) (pow.f64 l #s(literal 3/2 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64))) |
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#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #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 (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 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d)) |
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#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) |
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#s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)) |
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#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) |
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#s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)) |
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#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) |
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#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 h l) #s(literal -1 binary64)))))) |
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#s(approx (pow (/ d h) (/ 1 2)) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d h))))) |
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#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 h l) #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))))) |
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#s(approx h h) |
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#s(approx (/ 1 (* l h)) (pow.f64 (*.f64 h l) #s(literal -1 binary64))) |
#s(approx (* l h) (*.f64 h l)) |
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#s(approx (sqrt h) (sqrt.f64 h)) |
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#s(approx (* (* M M) h) (*.f64 (*.f64 M M) h)) |
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#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 d d)) #s(literal -1/8 binary64) (/.f64 l h)) 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 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64)))) #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 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64)))) #s(literal -1/8 binary64))) |
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#s(approx (/ (sqrt h) (sqrt (pow l 3))) (neg.f64 (neg.f64 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64)))))) |
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#s(approx l l) |
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#s(approx (sqrt (pow l 3)) (pow.f64 l #s(literal 3/2 binary64))) |
#s(approx (pow l 3) (pow.f64 l #s(literal 3 binary64))) |
#s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) (/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) l) l)) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) (fma.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) l)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d (*.f64 (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 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 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d (*.f64 (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 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 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) d (*.f64 (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64)))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) l) #s(literal -1/8 binary64) #s(literal 1 binary64)) l)) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) l) #s(literal -1/8 binary64) #s(literal 1 binary64)) l)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64)))))) |
#s(approx (pow (/ d l) (/ 1 2)) (*.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 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64)))))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) l) #s(literal 1/8 binary64)) #s(literal 1 binary64)) l))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) d)) (/ (sqrt h) (sqrt (pow l 3)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) #s(literal 1/8 binary64))) |
#s(approx (/ (sqrt h) (sqrt (pow l 3))) (neg.f64 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))))) |
#s(approx (sqrt (pow l 3)) (*.f64 #s(literal -1 binary64) (pow.f64 l #s(literal 3/2 binary64)))) |
#s(approx (pow (/ d l) (/ 1 2)) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 d l)))) |
#s(approx (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) l) #s(literal 1/8 binary64)) #s(literal 1 binary64)) l))) |
#s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) |
#s(approx M M) |
#s(approx (pow (* D M) 2) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) |
#s(approx (* D M) (*.f64 D M)) |
#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)) (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 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)) (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 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)) (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 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 M) 2) h) (* d d)) -1/8) l) 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 M) 2) h) (* d d)) -1/8) l) (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 l (*.f64 M M))) (*.f64 M M))) |
#s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) 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 M) 2) h) (* d d)) -1/8) l) (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 l (*.f64 M M))) (*.f64 M M))) |
#s(approx D D) |
#s(approx (* 1/8 (* D D)) (*.f64 (*.f64 D D) #s(literal 1/8 binary64))) |
#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)) (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 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)) (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 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)) (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 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 M) 2) h) (* d d)) -1/8) l) 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 M) 2) h) (* d d)) -1/8) l) (*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 l (*.f64 D D))) (*.f64 D D))) |
#s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) 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 M) 2) h) (* d d)) -1/8) l) (*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 l (*.f64 D D))) (*.f64 D D))) |
Compiled 19 624 to 1 542 computations (92.1% saved)
40 alts after pruning (39 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 382 | 22 | 404 |
| Fresh | 13 | 17 | 30 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 399 | 40 | 439 |
| Status | Accuracy | Program |
|---|---|---|
| 54.5% | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) | |
| 38.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (/.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)))))) | |
| 34.2% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 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))) | |
| 25.3% | (*.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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) | |
| 54.3% | (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 d h))) #s(approx (- 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)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) | |
| 25.8% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) #s(approx (- 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)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) | |
| 68.8% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) (-.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))) | |
| ▶ | 68.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
| 44.6% | (*.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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l) #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 d d)))) | |
| 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))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) | |
| ▶ | 63.4% | (*.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))) (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 h d)) #s(literal -1/8 binary64) l) l))) |
| 43.9% | (*.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 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) #s(literal -1/8 binary64) l) l))) | |
| 39.6% | (*.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 (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)))) | |
| 33.5% | (*.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))) #s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) | |
| 54.3% | (*.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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) l) l)))) | |
| 64.7% | (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) | |
| 42.8% | (*.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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) | |
| 37.1% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 41.5% | (*.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 h l) #s(literal -1 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))) | |
| 33.8% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))))) #s(approx (- 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)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) | |
| 37.4% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 37.2% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| ▶ | 31.4% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 20.1% | #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 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) (*.f64 d d))) d)) | |
| 18.1% | #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 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (*.f64 d d))) d)) | |
| 48.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)) | |
| 22.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 h)) (pow.f64 l #s(literal 3/2 binary64)))) | |
| 29.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.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)) | |
| 20.1% | #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 (*.f64 M M) d)) (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))))) (*.f64 D D))) | |
| 17.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) | |
| ▶ | 17.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
| 18.6% | #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 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64))) | |
| 18.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 (sqrt.f64 h) (sqrt.f64 (*.f64 (*.f64 l l) l))))) | |
| ▶ | 21.6% | #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))))) |
| 26.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) | |
| 19.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) | |
| 19.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d)) | |
| ✓ | 19.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 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 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d)) | |
| 26.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
Compiled 3 788 to 2 486 computations (34.4% saved)
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) |
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) |
(/.f64 D d) |
D |
(/.f64 M #s(literal 2 binary64)) |
M |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.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 #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 #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 (*.f64 (*.f64 l l) l))) |
(/.f64 h (*.f64 (*.f64 l l) l)) |
(*.f64 (*.f64 l l) l) |
(*.f64 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 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 h d)) #s(literal -1/8 binary64) l) l))) |
#s(approx (- 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)) d) (/.f64 h d)) #s(literal -1/8 binary64) l) l)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 h d)) #s(literal -1/8 binary64) l) l) |
(fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 h d)) #s(literal -1/8 binary64) l) |
(*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 h d)) |
(/.f64 h d) |
(*.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))) (*.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)) |
#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 (*.f64 (/.f64 #s(literal 1 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)) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 M D) |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
| Outputs |
|---|
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) 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 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (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 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
#s(approx (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (/ D d) (/ M 2)) #s(hole binary64 (* 1/2 (/ (* D M) d)))) |
#s(approx (/ D d) #s(hole binary64 (/ D d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (/ 1 (sqrt (* l h))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (* (* l l) l)))) #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 (* (* (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 (* D M) 2) d) (/ h d)) -1/8) l) l) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (/ (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) l) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (/ (+ (* -1/8 (* (pow D 2) (* (pow M 2) h))) (* (pow d 2) l)) (pow d 2)))) |
#s(approx (* (/ (pow (* D M) 2) d) (/ h d)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
#s(approx (/ h d) #s(hole binary64 (/ h d))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#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 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 1)) |
#s(approx (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (* (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 M) 2) d) (/ h d)) -1/8) l) l) #s(hole binary64 1)) |
#s(approx (/ (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) l) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 l)) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (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)) (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 (* (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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx h #s(hole binary64 h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (/ 1 (sqrt (* l h))) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (sqrt (* l h)) #s(hole binary64 (sqrt (* h l)))) |
#s(approx (* l h) #s(hole binary64 (* h l))) |
#s(approx (sqrt (/ h (* (* l l) l))) #s(hole binary64 (sqrt (/ h (pow l 3))))) |
#s(approx (/ h (* (* l l) l)) #s(hole binary64 (/ h (pow l 3)))) |
#s(approx (* (* (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 (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 (/ h l) #s(hole binary64 (/ h l))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (* (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 M) 2) d) (/ h d)) -1/8) l) l) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (/ l h))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (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 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (sqrt (* l h)) #s(hole binary64 (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (* (* l l) 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 (/ h (* (* l l) l))) #s(hole binary64 (* -1 (* (sqrt (/ h (pow l 3))) (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) (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 (* D M) 2) d) (/ h d)) -1/8) l) l) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (* -1 (* h (+ (* -1 (/ l h)) (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 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 (* (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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (* l l) l) #s(hole binary64 (pow l 3))) |
#s(approx (* l l) #s(hole binary64 (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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (/ (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) 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 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (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 M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (* l (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (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)) (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 (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (* -1 (* l (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))))) |
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2)))) |
#s(approx (* D M) #s(hole binary64 (* D M))) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (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 M) 2) d) (/ h d)) -1/8) l) l) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (pow d 2))) (/ l (pow M 2)))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (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 M) 2) d) (/ h d)) -1/8) l) l) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (pow d 2))) (/ l (pow D 2)))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | l | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l) (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (* (* l l) l)))) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (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 (* D M) 2) d) (/ h d)) -1/8) l) l) (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) (* (/ (pow (* D M) 2) d) (/ h d)) (/ h d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) -1 (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l)) |
| 11.0ms | d | @ | inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l) (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (* (* l l) l)))) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (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 (* D M) 2) d) (/ h d)) -1/8) l) l) (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) (* (/ (pow (* D M) 2) d) (/ h d)) (/ h d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) -1 (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l)) |
| 9.0ms | M | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l) (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (* (* l l) l)))) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (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 (* D M) 2) d) (/ h d)) -1/8) l) l) (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) (* (/ (pow (* D M) 2) d) (/ h d)) (/ h d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) -1 (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l)) |
| 9.0ms | d | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l) (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (* (* l l) l)))) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (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 (* D M) 2) d) (/ h d)) -1/8) l) l) (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) (* (/ (pow (* D M) 2) d) (/ h d)) (/ h d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) -1 (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l)) |
| 8.0ms | h | @ | -inf | ((* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) (* (sqrt (/ d l)) (sqrt (/ d h))) (sqrt (/ d l)) (/ d l) d l (sqrt (/ d h)) (/ d h) h (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l) (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) (* (/ D d) (/ M 2)) (/ D d) D (/ M 2) M 2 1/2 (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (* l h))) d) (/ 1 (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (* (* l l) l)))) (* -1/8 (/ (pow (* D M) 2) d)) -1/8 (/ (pow (* D M) 2) d) (pow (* D M) 2) (* D M) (sqrt (/ h (* (* l l) l))) (/ h (* (* l l) l)) (* (* l l) l) (* l l) (* (* (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 (* D M) 2) d) (/ h d)) -1/8) l) l) (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) (* (/ (pow (* D M) 2) d) (/ h d)) (/ h d) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (* (sqrt (pow (* l h) -1)) d) (sqrt (pow (* l h) -1)) (pow (* l h) -1) -1 (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 1 2) (pow (/ (* M D) (* 2 d)) 2) (/ (* M D) (* 2 d)) (* M D) (* 2 d) (/ h l)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 434 | 5669 |
| 0 | 513 | 4969 |
| 0 | 1650 | 4913 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
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(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
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(/.f64 d l) |
d |
l |
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h |
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#s(literal 1 binary64) |
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D |
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M |
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(/.f64 h d) |
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#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 (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)) |
#s(literal -1 binary64) |
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(*.f64 M D) |
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#s(approx (* (sqrt (/ d l)) (sqrt (/ d h))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
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#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))) |
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#s(approx (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 (/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)))) |
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#s(approx (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) #s(hole binary64 (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
#s(approx (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) #s(hole binary64 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
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#s(approx (/ D d) #s(hole binary64 (/ D 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)))) #s(hole binary64 (/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d))) |
#s(approx (* (/ 1 (sqrt (* l h))) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
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#s(approx (* -1/8 (/ (pow (* D M) 2) d)) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (pow M 2)) d)))) |
#s(approx (/ (pow (* D M) 2) d) #s(hole binary64 (/ (* (pow D 2) (pow M 2)) d))) |
#s(approx (* (* (sqrt (/ 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))))))) |
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#s(approx (/ (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) l) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
#s(approx (/ (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) l) #s(hole binary64 (/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (/ (+ (* -1/8 (* (pow D 2) (* (pow M 2) h))) (* (pow d 2) l)) (pow d 2)))) |
#s(approx (* (/ (pow (* D M) 2) d) (/ h d)) #s(hole binary64 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
#s(approx (/ h d) #s(hole binary64 (/ h d))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (sqrt (pow (* l h) -1)) d) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#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 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 1)) |
#s(approx (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))))) |
#s(approx (* (* (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 M) 2) d) (/ h d)) -1/8) l) l) #s(hole binary64 1)) |
#s(approx (/ (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) l) #s(hole binary64 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 l)) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))))) |
#s(approx (* (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)) (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 (* (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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx h #s(hole binary64 h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h))) |
#s(approx (/ 1 (sqrt (* l h))) #s(hole binary64 (sqrt (/ 1 (* h l))))) |
#s(approx (sqrt (* l h)) #s(hole binary64 (sqrt (* h l)))) |
#s(approx (* l h) #s(hole binary64 (* h l))) |
#s(approx (sqrt (/ h (* (* l l) l))) #s(hole binary64 (sqrt (/ h (pow l 3))))) |
#s(approx (/ h (* (* l l) l)) #s(hole binary64 (/ h (pow l 3)))) |
#s(approx (* (* (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 (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 (/ h l) #s(hole binary64 (/ h l))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))))) |
#s(approx (* (* (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 M) 2) d) (/ h d)) -1/8) l) l) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (/ l h))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (* (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 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))))) |
#s(approx (sqrt (* l h)) #s(hole binary64 (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (* (* l l) 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 (/ h (* (* l l) l))) #s(hole binary64 (* -1 (* (sqrt (/ h (pow l 3))) (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) (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 (* D M) 2) d) (/ h d)) -1/8) l) l) #s(hole binary64 (* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (* -1 (* h (+ (* -1 (/ l h)) (* 1/8 (/ (* (pow D 2) (pow M 2)) (pow d 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 (* (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 (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx l #s(hole binary64 l)) |
#s(approx (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (* (* l l) l) #s(hole binary64 (pow l 3))) |
#s(approx (* l l) #s(hole binary64 (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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(hole binary64 (/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
#s(approx (/ (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) 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 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))))) |
#s(approx (* (* (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 M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (* l (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))))) |
#s(approx (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)) (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 (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (* -1 (* l (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))))) |
#s(approx (/ M 2) #s(hole binary64 (* 1/2 M))) |
#s(approx M #s(hole binary64 M)) |
#s(approx (pow (* D M) 2) #s(hole binary64 (* (pow D 2) (pow M 2)))) |
#s(approx (* D M) #s(hole binary64 (* D M))) |
#s(approx (* M D) #s(hole binary64 (* D M))) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 (* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (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 M) 2) d) (/ h d)) -1/8) l) l) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (pow d 2))) (/ l (pow M 2)))))) |
#s(approx D #s(hole binary64 D)) |
#s(approx (* (* (sqrt (/ d l)) (sqrt (/ d h))) (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (- 1 (/ (* (* (* (* (/ D d) (/ M 2)) (* (/ D d) (/ M 2))) 1/2) h) l)) #s(hole binary64 (* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))))) |
#s(approx (* (* (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 M) 2) d) (/ h d)) -1/8) l) l) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) #s(hole binary64 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (pow d 2))) (/ l (pow D 2)))))) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))))) |
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d |
l |
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h |
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D |
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M |
#s(literal 2 binary64) |
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#s(literal -1/8 binary64) |
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#s(literal -1 binary64) |
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#s(literal 1/2 binary64) |
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(/.f64 (/.f64 (*.f64 M D) #s(literal 2 binary64)) d) |
(/.f64 (*.f64 D (/.f64 M #s(literal 2 binary64))) d) |
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) |
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(*.f64 M D) |
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(/.f64 h l) |
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#s(approx d d) |
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#s(approx (/ d h) (/.f64 d h)) |
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#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) l) |
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#s(approx h h) |
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#s(approx (sqrt (pow (* l h) -1)) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))) |
#s(approx (sqrt (* l h)) (sqrt.f64 (*.f64 h l))) |
#s(approx (* l h) (*.f64 h l)) |
#s(approx (sqrt (/ h (* (* l l) l))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
#s(approx (/ h (* (* l l) l)) (/.f64 h (pow.f64 l #s(literal 3 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 h l)) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) |
#s(approx (sqrt (pow (* l h) -1)) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))) |
#s(approx (pow (* l h) -1) (pow.f64 (*.f64 h l) #s(literal -1 binary64))) |
#s(approx (/ h l) (/.f64 h l)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d (*.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) h)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h)) |
#s(approx (/ (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) l) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h)) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d)) #s(literal -1/8 binary64) (/.f64 l h)) h)) |
#s(approx (* (* (pow (/ d 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 M D) #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 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64)))) #s(literal 1/8 binary64) (neg.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) d)))) h))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) |
#s(approx (sqrt (/ d h)) (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (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 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64)))) #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 (* l h)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1 binary64)))) |
#s(approx (* (* -1/8 (/ (pow (* D M) 2) d)) (sqrt (/ h (* (* l l) l)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (sqrt (/ h (* (* l l) l))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) #s(literal -1 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (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 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64)))) #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 (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (pow.f64 h #s(literal -1 binary64))) h)) |
#s(approx (/ (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) l) (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) #s(literal 1/8 binary64)) (pow.f64 h #s(literal -1 binary64))) h))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) (neg.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 d d)) #s(literal 1/8 binary64) (neg.f64 (/.f64 l h))) h))) |
#s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) |
#s(approx (* (sqrt (pow (* l h) -1)) d) (*.f64 (*.f64 #s(literal -1 binary64) d) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) |
#s(approx (sqrt (pow (* l h) -1)) (*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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 M D) #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 (fma.f64 (*.f64 (/.f64 h d) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64) l) l)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l))) |
#s(approx (* (* l l) l) (pow.f64 l #s(literal 3 binary64))) |
#s(approx (* l l) (*.f64 l l)) |
#s(approx (* (* (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 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64))) (*.f64 l l))) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (fma.f64 (*.f64 (/.f64 h d) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64) l) l)) |
#s(approx (/ (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) l) (/.f64 (fma.f64 (*.f64 (/.f64 h d) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d)) #s(literal -1/8 binary64) 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 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.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)))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.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)))) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) d))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) #s(literal 1 binary64)) 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) d) (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 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) d) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))))) |
#s(approx (sqrt (/ d l)) (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (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 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) d) (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)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (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 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal -1 binary64) d) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (* (/ (pow (* D M) 2) d) (/ h d)) -1/8) l) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64)) l))) |
#s(approx (/ M 2) (*.f64 #s(literal 1/2 binary64) M)) |
#s(approx M M) |
#s(approx (pow (* D M) 2) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) |
#s(approx (* M D) (*.f64 M D)) |
#s(approx (* M D) (*.f64 M D)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.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 (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)) (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 (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 M) 2) d) (/ h d)) -1/8) l) 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 M) 2) d) (/ h d)) -1/8) l) (*.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 l (*.f64 M M))) (*.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 (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)) (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 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 M) 2) d) (/ h d)) -1/8) l) 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 M) 2) d) (/ h d)) -1/8) l) (*.f64 (fma.f64 (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 l (*.f64 D D))) (*.f64 D D))) |
Compiled 18 256 to 1 453 computations (92% saved)
41 alts after pruning (39 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 371 | 21 | 392 |
| Fresh | 16 | 18 | 34 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 391 | 41 | 432 |
| Status | Accuracy | Program |
|---|---|---|
| 34.2% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) | |
| 32.5% | (*.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 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 h d)) #s(literal -1/8 binary64) l) l))) | |
| 68.7% | (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) | |
| 34.0% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) | |
| 68.8% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) | |
| 38.5% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))))))) | |
| 68.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) | |
| 44.6% | (*.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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l) #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 d d)))) | |
| 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))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) | |
| 63.4% | (*.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))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) d) (/.f64 h d)) #s(literal -1/8 binary64) l) l))) | |
| 50.5% | (*.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 (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (/.f64 h d)) #s(literal -1/8 binary64) l) l))) | |
| 43.9% | (*.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 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) #s(literal -1/8 binary64) l) l))) | |
| 27.6% | (*.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 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))) | |
| 33.5% | (*.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))) #s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) | |
| 64.7% | (*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))))))) | |
| 54.3% | (*.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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) l) l)))) | |
| 54.5% | (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) | |
| 41.4% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) | |
| 37.1% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 37.4% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 37.2% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 31.4% | (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) 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)))) | |
| 20.1% | #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 (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) (*.f64 d d))) d)) | |
| 18.1% | #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 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) (*.f64 d d))) d)) | |
| 48.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (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)) | |
| 17.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 h l)))) | |
| 29.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.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)) | |
| 20.1% | #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 (*.f64 M M) d)) (/.f64 (sqrt.f64 h) (pow.f64 l #s(literal 3/2 binary64))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))))) (*.f64 D D))) | |
| 17.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) | |
| 16.7% | #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 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) | |
| ✓ | 17.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
| 18.6% | #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 (/.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))) | |
| 22.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 (/.f64 h (*.f64 l l)) l)))) | |
| 21.6% | #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 (*.f64 (*.f64 M D) (*.f64 M D)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l))))) | |
| 15.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l))))) | |
| 26.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))))) | |
| 19.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) | |
| 19.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d)) | |
| ✓ | 19.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 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 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d)) | |
| 26.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
Compiled 6 314 to 1 695 computations (73.2% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) 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 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) #s(literal -1/8 binary64) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (pow.f64 (*.f64 l h) #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))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (/.f64 h d)) #s(literal -1/8 binary64) 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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) d) (/.f64 h d)) #s(literal -1/8 binary64) 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 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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) 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))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.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 (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 (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)))) |
(*.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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l) #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 d d)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (-.f64 (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 (sqrt.f64 (/.f64 d l)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) (-.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d))) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d))) l))) |
(*.f64 (*.f64 (*.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 (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 (*.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)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64))))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) h) #s(literal -1 binary64))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) l) #s(literal -1 binary64))) d)) h)) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
| Outputs |
|---|
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 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))) |
#s(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)) d) #s(literal -1/8 binary64)) (sqrt.f64 h)) (pow.f64 l #s(literal 3/2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
7 calls:
| 34.0ms | (*.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)))) |
| 31.0ms | h |
| 26.0ms | (*.f64 M D) |
| 26.0ms | D |
| 25.0ms | M |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.9% | 1 | (*.f64 M D) |
| 72.2% | 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)))) |
| 77.6% | 3 | d |
| 76.4% | 3 | h |
| 74.8% | 2 | l |
| 68.9% | 1 | M |
| 68.9% | 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 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) 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 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) #s(literal -1/8 binary64) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (pow.f64 (*.f64 l h) #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))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (/.f64 h d)) #s(literal -1/8 binary64) 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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) d) (/.f64 h d)) #s(literal -1/8 binary64) 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 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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) 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))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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 (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 (/.f64 h (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 (sqrt.f64 h) (sqrt.f64 (*.f64 (*.f64 l l) 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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)) (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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l)))) |
(*.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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) 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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.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 (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)))) |
(*.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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l) #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 d 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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l) #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 d 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 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 h d)) #s(literal -1/8 binary64) l) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.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 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 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)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) #s(approx (- 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)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) 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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) |
(*.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 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 h d)) #s(literal -1/8 binary64) l) l))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 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))) |
#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 l #s(literal -1 binary64)) (pow.f64 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 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 h)) (pow.f64 l #s(literal 3/2 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (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)))) (*.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)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 (sqrt.f64 h) (sqrt.f64 (pow.f64 l #s(literal 3 binary64)))))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d))) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d)) (-.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 (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))))) #s(approx (- 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)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) |
(*.f64 (pow.f64 (*.f64 (/.f64 d h) (/.f64 d l)) #s(literal 1/2 binary64)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 d d))) l))) |
(*.f64 #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)))) |
| Outputs |
|---|
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 h)) (pow.f64 l #s(literal 3/2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
1 calls:
| 19.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.6% | 3 | d |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) 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 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) #s(literal -1/8 binary64) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (pow.f64 (*.f64 l h) #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))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (/.f64 h d)) #s(literal -1/8 binary64) 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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) d) (/.f64 h d)) #s(literal -1/8 binary64) 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 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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) 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))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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 (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 (/.f64 h (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 (sqrt.f64 h) (sqrt.f64 (*.f64 (*.f64 l l) 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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)) (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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l)))) |
(*.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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) 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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.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 (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)))) |
(*.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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l) #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 d 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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l) #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 d 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 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 h d)) #s(literal -1/8 binary64) l) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.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 #s(literal 1/2 binary64) (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 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)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) #s(approx (- 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)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) 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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) |
(*.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 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 h d)) #s(literal -1/8 binary64) l) l))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 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))) |
#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 l #s(literal -1 binary64)) (pow.f64 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 (sqrt.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1 binary64)))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
| Outputs |
|---|
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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 (/.f64 h (*.f64 l l)) l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
1 calls:
| 29.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 3 | d |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) 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 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) #s(literal -1/8 binary64) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (pow.f64 (*.f64 l h) #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))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (/.f64 h d)) #s(literal -1/8 binary64) 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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) d) (/.f64 h d)) #s(literal -1/8 binary64) 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 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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) 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))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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 (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 (/.f64 h (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 (sqrt.f64 h) (sqrt.f64 (*.f64 (*.f64 l l) 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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)) (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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l)))) |
(*.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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) 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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.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 (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)))) |
(*.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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l) #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 d 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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) l) #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 d 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 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 h d)) #s(literal -1/8 binary64) l) l))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d 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 (/.f64 h (*.f64 l l)) l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
3 calls:
| 17.0ms | l |
| 10.0ms | d |
| 10.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.0% | 2 | l |
| 71.0% | 2 | h |
| 77.3% | 4 | d |
Compiled 3 to 15 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) 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 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) #s(literal -1/8 binary64) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (pow.f64 (*.f64 l h) #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))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (/.f64 h d)) #s(literal -1/8 binary64) 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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) d) (/.f64 h d)) #s(literal -1/8 binary64) 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 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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) 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))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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 (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (sqrt.f64 (/.f64 (/.f64 h (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (/.f64 (sqrt.f64 h) (sqrt.f64 (*.f64 (*.f64 l l) 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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) h) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)))) |
(*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) h)) l)) (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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l)))) |
(*.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 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h (*.f64 d d))) #s(literal -1/8 binary64) 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 (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) #s(literal -1/8 binary64) l) l))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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 (/.f64 h (*.f64 l l)) l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
2 calls:
| 9.0ms | d |
| 7.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.9% | 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)))) |
| 73.4% | 3 | d |
Compiled 36 to 27 computations (25% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) 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 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) #s(literal -1/8 binary64) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (pow.f64 (*.f64 l h) #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))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (/.f64 h d)) #s(literal -1/8 binary64) 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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) d) (/.f64 h d)) #s(literal -1/8 binary64) 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 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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) 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))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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 (*.f64 (*.f64 l l) l))))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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 D) (*.f64 M D)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) l))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
1 calls:
| 25.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.7% | 3 | d |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) 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 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) #s(literal -1/8 binary64) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (pow.f64 (*.f64 l h) #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))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (/.f64 h d)) #s(literal -1/8 binary64) 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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) d) (/.f64 h d)) #s(literal -1/8 binary64) 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 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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) 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))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
4 calls:
| 9.0ms | h |
| 6.0ms | l |
| 6.0ms | d |
| 5.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.9% | 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)))) |
| 68.9% | 1 | h |
| 68.9% | 1 | l |
| 68.9% | 1 | d |
Compiled 38 to 37 computations (2.6% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) 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 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) #s(literal -1/8 binary64) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (pow.f64 (*.f64 l h) #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))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (/.f64 h d)) #s(literal -1/8 binary64) 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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) d) (/.f64 h d)) #s(literal -1/8 binary64) 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 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) 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) 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)) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (pow.f64 (*.f64 l h) #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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) d) (/.f64 h d)) #s(literal -1/8 binary64) l) l))) |
7 calls:
| 55.0ms | d |
| 10.0ms | M |
| 5.0ms | D |
| 5.0ms | l |
| 5.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.0% | 2 | d |
| 63.4% | 1 | h |
| 63.4% | 1 | l |
| 67.1% | 3 | (*.f64 M D) |
| 65.0% | 2 | M |
| 63.4% | 1 | D |
| 66.7% | 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 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) 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 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) #s(literal -1/8 binary64) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (pow.f64 (*.f64 l h) #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))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (/.f64 h d)) #s(literal -1/8 binary64) 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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) d) (/.f64 h d)) #s(literal -1/8 binary64) 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 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64))) d)) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) d) (/.f64 h d)) #s(literal -1/8 binary64) l) l))) |
1 calls:
| 5.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.9% | 2 | d |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) 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 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) #s(literal -1/8 binary64) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (pow.f64 (*.f64 l h) #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))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (/.f64 h d)) #s(literal -1/8 binary64) 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 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) d) (/.f64 h d)) #s(literal -1/8 binary64) l) l))) |
| 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))) #s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) 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))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) d) (/.f64 h d)) #s(literal -1/8 binary64) l) l))) |
2 calls:
| 4.0ms | d |
| 4.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.1% | 2 | (*.f64 M D) |
| 63.4% | 1 | d |
Compiled 4 to 11 computations (-175% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) 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 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) #s(literal -1/8 binary64) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (pow.f64 (*.f64 l h) #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))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (/.f64 h d)) #s(literal -1/8 binary64) l) l))) |
| 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))) #s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) 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))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (fma.f64 (*.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d)) (/.f64 h d)) #s(literal -1/8 binary64) l) l))) |
7 calls:
| 21.0ms | (*.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)))) |
| 7.0ms | l |
| 4.0ms | d |
| 4.0ms | M |
| 4.0ms | D |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.7% | 4 | l |
| 60.2% | 4 | d |
| 59.9% | 2 | D |
| 54.4% | 1 | h |
| 59.1% | 2 | M |
| 59.4% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 61.6% | 3 | (*.f64 M D) |
Compiled 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) 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 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) #s(literal -1/8 binary64) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) 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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) (*.f64 D M)) h) (*.f64 d d)) #s(literal -1/8 binary64) 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))) #s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
3 calls:
| 4.0ms | D |
| 4.0ms | (*.f64 M 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 |
|---|---|---|
| 59.4% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 56.9% | 2 | D |
| 58.2% | 2 | (*.f64 M D) |
Compiled 39 to 33 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) 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 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) #s(literal -1/8 binary64) l) l))) |
| 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))) #s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) 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))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (/.f64 h (*.f64 d d)))) #s(literal -1/8 binary64) l) l))) |
7 calls:
| 8.0ms | (*.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)))) |
| 3.0ms | M |
| 3.0ms | h |
| 3.0ms | l |
| 3.0ms | D |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.2% | 2 | h |
| 52.3% | 3 | l |
| 46.5% | 2 | D |
| 55.9% | 5 | d |
| 49.9% | 2 | (*.f64 M D) |
| 53.7% | 2 | M |
| 53.4% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) d)) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) 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))) #s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
5 calls:
| 6.0ms | M |
| 3.0ms | (*.f64 M D) |
| 3.0ms | l |
| 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 |
|---|---|---|
| 41.7% | 2 | (*.f64 M D) |
| 46.2% | 3 | l |
| 43.7% | 3 | d |
| 49.2% | 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)))) |
| 41.7% | 2 | M |
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 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) d))) (sqrt.f64 (/.f64 h (*.f64 (*.f64 l l) 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 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) (/.f64 (*.f64 M M) 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))) #s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
3 calls:
| 3.0ms | h |
| 3.0ms | D |
| 2.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.9% | 2 | D |
| 38.4% | 3 | h |
| 45.1% | 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 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64)))) |
5 calls:
| 2.0ms | d |
| 2.0ms | (*.f64 M D) |
| 2.0ms | M |
| 2.0ms | 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 |
|---|---|---|
| 36.1% | 2 | (*.f64 M D) |
| 33.5% | 1 | M |
| 36.9% | 2 | d |
| 36.9% | 2 | l |
| 38.2% | 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 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 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d)) |
7 calls:
| 2.0ms | M |
| 2.0ms | (*.f64 M D) |
| 2.0ms | d |
| 2.0ms | D |
| 2.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 19.7% | 1 | M |
| 19.7% | 1 | (*.f64 M D) |
| 22.3% | 2 | d |
| 22.3% | 2 | h |
| 22.3% | 2 | l |
| 19.7% | 1 | D |
| 21.5% | 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 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 (/.f64 #s(literal 1 binary64) l) h)) d)) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d)) |
4 calls:
| 8.0ms | d |
| 2.0ms | h |
| 2.0ms | 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 |
|---|---|---|
| 19.7% | 1 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 19.7% | 1 | h |
| 19.7% | 1 | d |
| 19.7% | 1 | l |
Compiled 38 to 37 computations (2.6% saved)
Total -1.0b remaining (-1.9%)
Threshold costs -1b (-1.9%)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 #s(literal 1 binary64) d) (sqrt.f64 (*.f64 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 l h))) d)) |
7 calls:
| 1.0ms | l |
| 1.0ms | M |
| 1.0ms | d |
| 1.0ms | D |
| 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 |
|---|---|---|
| 19.3% | 1 | h |
| 19.3% | 1 | (*.f64 M D) |
| 19.3% | 1 | d |
| 19.3% | 1 | D |
| 19.3% | 1 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 19.3% | 1 | M |
| 19.3% | 1 | l |
Compiled 43 to 53 computations (-23.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 83.0ms | 3.515086325999081e-218 | 6.910932763449916e-209 |
| 71.0ms | -9.873674722441725e-295 | 5.611167754784201e-303 |
| 73.0ms | 341× | 0 | invalid |
| 58.0ms | 320× | 0 | valid |
Compiled 1 868 to 1 309 computations (29.9% saved)
ival-div!: 55.0ms (50.3% of total)ival-pow2: 21.0ms (19.2% of total)ival-pow: 17.0ms (15.6% of total)ival-mult!: 14.0ms (12.8% of total)ival-sub!: 2.0ms (1.8% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 3.515086325999081e-218 | 6.910932763449916e-209 |
| 2.0ms | -9.873674722441725e-295 | 5.611167754784201e-303 |
Compiled 1 923 to 1 309 computations (31.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 83.0ms | 3.515086325999081e-218 | 6.910932763449916e-209 |
| 2.0ms | -9.873674722441725e-295 | 5.611167754784201e-303 |
| 40.0ms | 128× | 0 | valid |
| 12.0ms | 123× | 0 | invalid |
Compiled 1 963 to 1 309 computations (33.3% saved)
ival-pow: 6.0ms (30.8% of total)ival-div!: 5.0ms (25.6% of total)ival-mult!: 5.0ms (25.6% of total)ival-pow2: 3.0ms (15.4% of total)ival-sub!: 1.0ms (5.1% of total)adjust: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 3.515086325999081e-218 | 6.910932763449916e-209 |
| 46.0ms | -1.890973297714502e-275 | -9.873674722441725e-295 |
| 57.0ms | -2.6144279137240878e-109 | -7.902610491951746e-125 |
| 45.0ms | 336× | 0 | valid |
| 23.0ms | 235× | 0 | invalid |
Compiled 2 720 to 1 899 computations (30.2% saved)
ival-div!: 14.0ms (29.3% of total)ival-pow: 13.0ms (27.2% of total)ival-mult!: 13.0ms (27.2% of total)ival-pow2: 6.0ms (12.5% of total)ival-sub!: 1.0ms (2.1% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 3.515086325999081e-218 | 6.910932763449916e-209 |
| 38.0ms | -5.617079727349348e-261 | -2.2387764334820217e-269 |
| 18.0ms | 144× | 0 | valid |
| 11.0ms | 118× | 0 | invalid |
Compiled 1 613 to 1 110 computations (31.2% saved)
ival-pow: 6.0ms (29.1% of total)ival-div!: 6.0ms (29.1% of total)ival-mult!: 6.0ms (29.1% of total)ival-pow2: 3.0ms (14.5% of total)ival-sub!: 1.0ms (4.8% of total)adjust: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 3.515086325999081e-218 | 6.910932763449916e-209 |
| 2.0ms | -5.617079727349348e-261 | -2.2387764334820217e-269 |
Compiled 1 649 to 1 092 computations (33.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 46.0ms | -2.666683397440667e+134 | -2.7391553403428694e+132 |
| 30.0ms | 112× | 0 | valid |
| 9.0ms | 95× | 0 | invalid |
Compiled 696 to 464 computations (33.3% saved)
ival-mult!: 21.0ms (65.4% of total)ival-pow: 4.0ms (12.5% of total)ival-div!: 4.0ms (12.5% of total)ival-pow2: 2.0ms (6.2% of total)ival-sub!: 1.0ms (3.1% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -2.666683397440667e+134 | -2.7391553403428694e+132 |
Compiled 682 to 457 computations (33% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4067924705440384e-158 | 2.538977013343174e-158 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.334990270110895e+136 | 1.6594794661643168e+138 |
| 0.0ms | 8.098009954939756e-141 | 3.60492187807968e-130 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.036538715248666e-178 | -5.342987734788198e-191 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 2.0767567349469895e-143 | 2.4400358464569474e-141 |
| 14.0ms | 112× | 0 | valid |
Compiled 717 to 506 computations (29.4% saved)
ival-pow: 4.0ms (38.9% of total)ival-div!: 2.0ms (19.4% of total)ival-mult!: 2.0ms (19.4% of total)ival-pow2: 1.0ms (9.7% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.036538715248666e-178 | -5.342987734788198e-191 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.342987734788198e-191 | 0.0 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.1671855466780165e-248 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | -4.1466892071475526e-306 | 1.808228824739976e-307 |
| 16.0ms | 128× | 0 | valid |
| 16.0ms | 143× | 0 | invalid |
Compiled 750 to 502 computations (33.1% saved)
ival-pow: 8.0ms (35.1% of total)ival-div!: 6.0ms (26.3% of total)ival-mult!: 6.0ms (26.3% of total)ival-pow2: 3.0ms (13.1% of total)ival-sub!: 1.0ms (4.4% of total)adjust: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 225 | 2009 |
| 1 | 291 | 2009 |
| 2 | 577 | 2009 |
| 3 | 2804 | 2009 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.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 h l) #s(literal -1 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))) (if (<=.f64 d #s(literal 2868655971367477/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 h)) (pow.f64 l #s(literal 3/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))))) |
(if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) (if (<=.f64 d #s(literal 2868655971367477/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 h)) (pow.f64 l #s(literal 3/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))))) |
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(if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| Outputs |
|---|
(if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.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 h l) #s(literal -1 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))) (if (<=.f64 d #s(literal 2868655971367477/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 h)) (pow.f64 l #s(literal 3/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))))) |
(if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 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))) (if (<=.f64 d #s(literal 2868655971367477/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 h)) (pow.f64 l #s(literal 3/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))))) |
(if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) (if (<=.f64 d #s(literal 2868655971367477/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 h)) (pow.f64 l #s(literal 3/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))))) |
(if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) (if (<=.f64 d #s(literal 2868655971367477/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798208 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) #s(literal -1/8 binary64)) (sqrt.f64 h)) (pow.f64 l #s(literal 3/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))))) |
(if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) (if (<=.f64 d #s(literal 4245166658634751/12129047596099288555851402253613301212944422008724192274523844047078523067862319424459987568973800608988185396071336509423215469094646987433158494336259227650034804500162889887111447543996862850197367181200909912116350366045437952 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 (/.f64 h (*.f64 l l)) l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))))) |
(if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) (if (<=.f64 d #s(literal 4245166658634751/12129047596099288555851402253613301212944422008724192274523844047078523067862319424459987568973800608988185396071336509423215469094646987433158494336259227650034804500162889887111447543996862850197367181200909912116350366045437952 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 (/.f64 h (*.f64 l l)) l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))))) |
(if (<=.f64 d #s(literal -1663601816472489/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) (if (<=.f64 d #s(literal -5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (*.f64 #s(literal -1 binary64) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (if (<=.f64 d #s(literal 4245166658634751/12129047596099288555851402253613301212944422008724192274523844047078523067862319424459987568973800608988185396071336509423215469094646987433158494336259227650034804500162889887111447543996862850197367181200909912116350366045437952 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 (/.f64 h (*.f64 l l)) l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l)))))) |
(if (<=.f64 d #s(literal -1663601816472489/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) (if (<=.f64 d #s(literal -5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) (*.f64 #s(approx (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (if (<=.f64 d #s(literal 4245166658634751/12129047596099288555851402253613301212944422008724192274523844047078523067862319424459987568973800608988185396071336509423215469094646987433158494336259227650034804500162889887111447543996862850197367181200909912116350366045437952 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 (/.f64 h (*.f64 l l)) l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l)))))) |
(if (<=.f64 d #s(literal -3420138889498901/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))) (if (<=.f64 d #s(literal 4245166658634751/12129047596099288555851402253613301212944422008724192274523844047078523067862319424459987568973800608988185396071336509423215469094646987433158494336259227650034804500162889887111447543996862850197367181200909912116350366045437952 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 (/.f64 h (*.f64 l l)) l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) (*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64)))) #s(literal 1/2 binary64)) h) l))))) |
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(if (<=.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)))) #s(literal -912488123524439/4562440617622195218641171605700291324893228507248559930579192517899275167208677386505912811317371399778642309573594407310688704721375437998252661319722214188251994674360264950082874192246603776 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) 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))) #s(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64))))) |
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(if (<=.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)))) #s(literal 0 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 (/.f64 #s(literal 1 binary64) l) h)) 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(approx (/ (+ (* (/ (* (pow (* D M) 2) h) (* d d)) -1/8) l) l) #s(literal 1 binary64))))) |
(if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 l) (sqrt.f64 h))) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 1× | fuel |
Compiled 2 181 to 227 computations (89.6% saved)
Compiled 5 254 to 918 computations (82.5% saved)
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