
Time bar (total: 10.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.7% | 0.3% | 0% | 0% | 0% | 6 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 7 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 8 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 9 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 10 |
| 12.5% | 12.5% | 87.2% | 0.3% | 0% | 0% | 0% | 11 |
| 18.8% | 18.7% | 81% | 0.3% | 0% | 0% | 0% | 12 |
Compiled 20 to 19 computations (5% saved)
| 1.0s | 8 256× | 0 | valid |
| 331.0ms | 2 784× | 0 | invalid |
ival-mult: 326.0ms (34.6% of total)ival-div: 238.0ms (25.3% of total)ival-pow2: 173.0ms (18.4% of total)ival-sqrt: 103.0ms (10.9% of total)ival-sub: 73.0ms (7.7% of total)exact: 12.0ms (1.3% of total)ival-true: 8.0ms (0.8% of total)ival-assert: 5.0ms (0.5% of total)adjust: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 36 | 0 | - | 1 | (-2.5180398381981238e-182 6.757561477719508e-108 1.6432254417079644e+170 1.117527603429267e-114 1.011767253394879e-244 5.429034247199317e+218) | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 23 | 0 | - | 0 | - | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 22 | 0 | - | 1 | (1.2439045375527668e-226 2.978629229504326e-144 1.0676771886995167e-169 3.693999778257146e-274 4.8168264168107086e+101 -1.8898398354253557e-47) | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 3 | 0 | - | 0 | - | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 0 | 0 | - | 0 | - | D |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) d) |
| 0 | 0 | - | 0 | - | (/.f64 h l) |
| 0 | 0 | - | 0 | - | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 M D) |
| 0 | 0 | - | 0 | - | w0 |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 (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 | - | M |
| 0 | 0 | - | 0 | - | h |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) | oflow-rescue | 23 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 47 | |
| ↳ | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) | overflow | 47 | |
| ↳ | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) | overflow | 24 | |
| ↳ | (*.f64 M D) | overflow | 23 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 24 | |
| ↳ | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | overflow | 47 | |
| ↳ | (/.f64 h l) | overflow | 16 | |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | o/n | 10 | 0 |
| ↳ | (*.f64 M D) | overflow | 23 | |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | n*o | 8 | 0 |
*.f64 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) | n*o | 3 | 0 |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | u/n | 2 | 0 |
| ↳ | (*.f64 M D) | underflow | 37 | |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | o*u | 1 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 47 | |
| ↳ | (*.f64 M D) | overflow | 23 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 24 | |
| ↳ | (/.f64 h l) | underflow | 31 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 33 | 6 |
| - | 10 | 207 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 33 | 0 | 6 |
| - | 10 | 0 | 207 |
| number | freq |
|---|---|
| 0 | 213 |
| 1 | 39 |
| 2 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 79.0ms | 512× | 0 | valid |
Compiled 212 to 55 computations (74.1% saved)
ival-mult: 22.0ms (40.5% of total)ival-sqrt: 15.0ms (27.6% of total)ival-div: 8.0ms (14.7% of total)ival-pow2: 5.0ms (9.2% of total)ival-sub: 3.0ms (5.5% of total)exact: 1.0ms (1.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 501 |
| 1 | 461 | 492 |
| 2 | 1413 | 492 |
| 3 | 4009 | 492 |
| 0 | 17 | 18 |
| 0 | 26 | 18 |
| 1 | 47 | 18 |
| 2 | 112 | 18 |
| 3 | 816 | 18 |
| 4 | 4616 | 18 |
| 5 | 6521 | 18 |
| 0 | 8357 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0) |
(abs d)
(abs D)
(abs M)
(negabs w0)
(sort M D)
Compiled 18 to 17 computations (5.6% saved)
Compiled 0 to 6 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
Compiled 18 to 17 computations (5.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 95 |
| 0 | 26 | 95 |
| 1 | 47 | 95 |
| 2 | 112 | 95 |
| 3 | 816 | 95 |
| 4 | 4616 | 95 |
| 5 | 6521 | 95 |
| 0 | 8357 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
#s(literal 2 binary64) |
d |
(/.f64 h l) |
h |
l |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
(fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
(*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #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)) |
(pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) |
(*.f64 M D) |
(*.f64 D M) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(*.f64 d #s(literal 2 binary64)) |
#s(literal 2 binary64) |
d |
(/.f64 h l) |
h |
l |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.7508001446744417 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) | |
| accuracy | 5.141921623604639 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | |
| accuracy | 5.3599625980579155 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) | |
| accuracy | 8.385557552584897 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 33.0ms | 256× | 0 | valid |
Compiled 97 to 19 computations (80.4% saved)
ival-mult: 6.0ms (36.8% of total)ival-div: 4.0ms (24.6% of total)ival-pow2: 3.0ms (18.4% of total)ival-sqrt: 2.0ms (12.3% of total)ival-sub: 1.0ms (6.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | M | @ | -inf | ((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d))) |
| 24.0ms | l | @ | inf | ((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d))) |
| 7.0ms | h | @ | inf | ((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d))) |
| 6.0ms | M | @ | inf | ((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d))) |
| 4.0ms | h | @ | -inf | ((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 d))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 626 | 4390 |
| 1 | 2407 | 4334 |
| 0 | 9499 | 4188 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 w0 l)) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 h h) l) (/.f64 (*.f64 M M) l)) (/.f64 w0 (pow.f64 d #s(literal 4 binary64)))))) (*.f64 M M) w0) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) M) M) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 w0 (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 h l) (/.f64 h l))))) (*.f64 M M) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) w0) (*.f64 (*.f64 d d) l))) (*.f64 M M) w0) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) h) (*.f64 (*.f64 (pow.f64 d #s(literal 4 binary64)) l) l)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 h (*.f64 (*.f64 d d) l)))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (pow.f64 D #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) M) M) (*.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 h (pow.f64 d #s(literal 4 binary64))) (/.f64 h (*.f64 l l))))) (*.f64 M M) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 h (*.f64 (*.f64 d d) l)))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d)) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d w0) (*.f64 (*.f64 D M) M)) (/.f64 (sqrt.f64 (/.f64 l h)) (sqrt.f64 #s(literal -1/4 binary64)))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
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(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
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(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
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(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
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(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
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(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
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(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 l #s(literal 3 binary64))) (/.f64 w0 (pow.f64 d #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 M #s(literal 4 binary64))) (*.f64 (/.f64 w0 (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 h l) (/.f64 h l))))) (*.f64 D D) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))) (*.f64 D D) w0) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
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(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
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(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
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(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
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(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
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(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 d d) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) #s(literal -1/8 binary64))) (*.f64 d d) (*.f64 (/.f64 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 69 |
| 0 | 26 | 69 |
| 1 | 75 | 69 |
| 2 | 410 | 69 |
| 3 | 7218 | 69 |
| 0 | 8457 | 66 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
(*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| Outputs |
|---|
(*.f64 (*.f64 w0 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0)) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 w0 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))))) (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)))) |
(/.f64 (*.f64 w0 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))))) |
(/.f64 (sin.f64 (acos.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)))) (sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 2 binary64)))) (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) (-.f64 (*.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 2 binary64)))) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 h l) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) #s(literal 2 binary64)) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal -1 binary64))))) (fma.f64 (/.f64 h l) (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1 binary64))) |
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(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M (neg.f64 d))) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 (neg.f64 M) d)) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) |
(*.f64 (/.f64 M d) (/.f64 D #s(literal -2 binary64))) |
(*.f64 (/.f64 M d) (/.f64 (neg.f64 D) #s(literal 2 binary64))) |
(*.f64 (/.f64 M d) (neg.f64 (/.f64 D #s(literal 2 binary64)))) |
(*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) |
(*.f64 (neg.f64 M) (/.f64 (/.f64 D d) #s(literal 2 binary64))) |
(*.f64 (neg.f64 D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (neg.f64 M)) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) M) |
(*.f64 (/.f64 D d) (/.f64 M #s(literal -2 binary64))) |
(*.f64 (/.f64 D d) (/.f64 (neg.f64 M) #s(literal 2 binary64))) |
(*.f64 (/.f64 D d) (neg.f64 (/.f64 M #s(literal 2 binary64)))) |
(*.f64 (/.f64 D d) (/.f64 M #s(literal 2 binary64))) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D (neg.f64 d))) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 (neg.f64 D) d)) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (neg.f64 (/.f64 D d))) |
(*.f64 (/.f64 M #s(literal 2 binary64)) (/.f64 D d)) |
(*.f64 D (neg.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)))) |
(*.f64 D (/.f64 (/.f64 M d) #s(literal 2 binary64))) |
(*.f64 M (/.f64 (/.f64 D d) #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 D M) (neg.f64 d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 M) (/.f64 D d)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 D d) (neg.f64 M)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) d) #s(literal -2 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) d) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (*.f64 (/.f64 D d) M)) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (/.f64 (*.f64 D M) #s(literal -2 binary64))) (fabs.f64 (neg.f64 d))) |
(/.f64 (fabs.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D)) (fabs.f64 d)) |
(/.f64 (fabs.f64 (*.f64 (neg.f64 M) D)) (fabs.f64 (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (fabs.f64 (*.f64 D M)) (fabs.f64 (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D))) (exp.f64 (log.f64 d))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 M) D))) (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d)))) |
(/.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d)))) |
(/.f64 (*.f64 (/.f64 D d) M) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 D M) #s(literal -2 binary64)) (neg.f64 (neg.f64 d))) |
(/.f64 (/.f64 (*.f64 D M) #s(literal -2 binary64)) (neg.f64 d)) |
(/.f64 (/.f64 (*.f64 D M) #s(literal -2 binary64)) d) |
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) d) |
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d)) |
(neg.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 M #s(literal 2 binary64)) D) #s(literal 2 binary64)) d)) |
(fabs.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64)))) (sinh.f64 (log.f64 (*.f64 (/.f64 (*.f64 D M) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
Compiled 15 345 to 2 438 computations (84.1% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 411 | 15 | 426 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 411 | 16 | 427 |
| Status | Accuracy | Program |
|---|---|---|
| 82.6% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))) | |
| 77.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))) | |
| 73.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d))))) | |
| 82.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))) | |
| 74.9% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) | |
| 86.7% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))))) | |
| ✓ | 85.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| ▶ | 86.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))))))) |
| ▶ | 80.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))) |
| ▶ | 71.6% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
| ▶ | 65.7% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
| 60.4% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d)))))) | |
| 13.7% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) | |
| 57.4% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) | |
| ▶ | 70.5% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 56.6% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
Compiled 858 to 701 computations (18.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))) | |
| cost-diff | 6 | (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))) | |
| cost-diff | 0 | #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) | |
| cost-diff | 1 | (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))))))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))))))) | |
| cost-diff | 6 | (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 679 |
| 0 | 104 | 679 |
| 1 | 227 | 631 |
| 2 | 900 | 631 |
| 3 | 5223 | 631 |
| 0 | 8289 | 626 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))))))) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))))) |
(/.f64 D #s(literal 2 binary64)) |
D |
#s(literal 2 binary64) |
(*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) |
(/.f64 M d) |
M |
d |
(*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) |
(*.f64 (/.f64 h l) D) |
(/.f64 h l) |
h |
l |
(/.f64 (/.f64 M d) #s(literal 2 binary64)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
w0 |
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(*.f64 h #s(literal -1/4 binary64)) |
h |
#s(literal -1/4 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 (*.f64 M M) D) D) |
(*.f64 (*.f64 M M) D) |
(*.f64 M M) |
M |
D |
(*.f64 (*.f64 d d) l) |
(*.f64 d d) |
d |
l |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)) |
(/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l) |
(-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) |
l |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 D D)) |
#s(literal 1/4 binary64) |
(*.f64 D D) |
D |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) |
(/.f64 (*.f64 M M) d) |
(*.f64 M M) |
M |
d |
(/.f64 h d) |
h |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) |
(/.f64 D #s(literal 2 binary64)) |
D |
#s(literal 2 binary64) |
(*.f64 (/.f64 M d) M) |
(/.f64 M d) |
M |
d |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) |
(/.f64 (/.f64 D d) #s(literal 2 binary64)) |
(/.f64 D d) |
(/.f64 h l) |
h |
l |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))))))) |
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) (/.f64 h l)) |
(/.f64 D #s(literal 2 binary64)) |
D |
#s(literal 2 binary64) |
(*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) M) (/.f64 (*.f64 (/.f64 h l) D) d)) |
(/.f64 M d) |
M |
d |
(*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 h l) D) #s(literal 2 binary64)) (/.f64 M d)) |
(*.f64 (/.f64 h l) D) |
(/.f64 h l) |
h |
l |
(/.f64 (/.f64 M d) #s(literal 2 binary64)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) w0) |
w0 |
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) h) d) #s(literal 1 binary64)))) w0) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) h) d) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) h) d) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) h) d) #s(literal 1 binary64)) |
(*.f64 h #s(literal -1/4 binary64)) |
(*.f64 #s(literal -1/4 binary64) h) |
h |
#s(literal -1/4 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) |
(*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 M D) D) d)) |
(*.f64 (*.f64 (*.f64 M M) D) D) |
(*.f64 (*.f64 M M) D) |
(*.f64 M M) |
M |
D |
(*.f64 (*.f64 d d) l) |
(*.f64 d d) |
d |
l |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (/.f64 h d) d) (*.f64 M M)) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) l) #s(literal 1 binary64)))) w0) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (/.f64 h d) d) (*.f64 M M)) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) l) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 (/.f64 h d) d) (*.f64 M M)) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) l) #s(literal 1 binary64))) |
(/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l) |
(fma.f64 (*.f64 (/.f64 (/.f64 h d) d) (*.f64 M M)) (/.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) l) #s(literal 1 binary64)) |
(-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 (/.f64 h d) d) (*.f64 M M)) l) |
l |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d))) |
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) d)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 D D)) |
(*.f64 (*.f64 D D) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 D D) |
D |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) |
(*.f64 (/.f64 (/.f64 h d) d) (*.f64 M M)) |
(/.f64 (*.f64 M M) d) |
(*.f64 (/.f64 M d) M) |
(*.f64 M M) |
M |
d |
(/.f64 h d) |
h |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))) |
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))) |
(fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) (/.f64 h l)) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) |
(*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M) |
(/.f64 D #s(literal 2 binary64)) |
D |
#s(literal 2 binary64) |
(*.f64 (/.f64 M d) M) |
(/.f64 M d) |
M |
d |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) |
(*.f64 (/.f64 (/.f64 h l) d) (/.f64 D #s(literal 2 binary64))) |
(/.f64 (/.f64 D d) #s(literal 2 binary64)) |
(/.f64 D d) |
(/.f64 h l) |
h |
l |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.3599625980579155 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))) | |
| accuracy | 6.625206608100287 | (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) | |
| accuracy | 7.161971787593643 | (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))) | |
| accuracy | 7.956895319406538 | (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) | |
| accuracy | 5.3599625980579155 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))) | |
| accuracy | 7.760745969025688 | (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) | |
| accuracy | 8.62698706445989 | (/.f64 (*.f64 M M) d) | |
| accuracy | 15.62639182252112 | (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d))) | |
| accuracy | 5.3599625980579155 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) | |
| accuracy | 6.022208312214059 | (*.f64 (*.f64 d d) l) | |
| accuracy | 9.212988412365206 | (*.f64 (*.f64 M M) D) | |
| accuracy | 14.03656517395049 | (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) | |
| accuracy | 0.7508001446744417 | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) | |
| accuracy | 19.0940415164645 | #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) | |
| accuracy | 5.14926295206184 | (*.f64 (/.f64 h l) D) | |
| accuracy | 5.3599625980579155 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))))))) | |
| accuracy | 5.378160980615117 | (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))))) | |
| accuracy | 8.240389415265982 | (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) |
| 117.0ms | 256× | 0 | valid |
Compiled 561 to 57 computations (89.8% saved)
ival-mult: 39.0ms (50.3% of total)ival-div: 21.0ms (27.1% of total)ival-sub: 8.0ms (10.3% of total)ival-sqrt: 5.0ms (6.5% of total)ival-pow2: 3.0ms (3.9% of total)ival-add: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)) |
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) |
(*.f64 (/.f64 h l) D) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 M M) D) |
(*.f64 (*.f64 d d) l) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d))) |
(/.f64 (*.f64 M M) d) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
l |
(+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* D (pow M 2)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(/ (pow M 2) d) |
(/ (* (pow M 2) h) (pow d 2)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(* (pow M 2) (- (/ l (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (pow d 2))))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(/ (* D h) l) |
(* 1/2 (/ (* D h) (* d l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (- (/ l (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (pow d 2))))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (- (/ l h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* -1 (/ l h)) (* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
(* (pow d 2) l) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(* l (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(* -1 (* l (- (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (- (* (pow d 2) l) (* 1/4 (* (pow D 2) (* (pow M 2) h)))) (pow d 2)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | D | @ | 0 | ((* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* M M) D) (* (* d d) l) (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d))) (/ (* M M) d) (* (/ (* M M) d) (/ h d)) (* (/ (/ D d) 2) (/ h l)) (* (/ D 2) (* (/ M d) M))) |
| 11.0ms | M | @ | 0 | ((* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* M M) D) (* (* d d) l) (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d))) (/ (* M M) d) (* (/ (* M M) d) (/ h d)) (* (/ (/ D d) 2) (/ h l)) (* (/ D 2) (* (/ M d) M))) |
| 11.0ms | d | @ | 0 | ((* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* M M) D) (* (* d d) l) (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d))) (/ (* M M) d) (* (/ (* M M) d) (/ h d)) (* (/ (/ D d) 2) (/ h l)) (* (/ D 2) (* (/ M d) M))) |
| 7.0ms | h | @ | inf | ((* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* M M) D) (* (* d d) l) (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d))) (/ (* M M) d) (* (/ (* M M) d) (/ h d)) (* (/ (/ D d) 2) (/ h l)) (* (/ D 2) (* (/ M d) M))) |
| 6.0ms | D | @ | -inf | ((* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* d d) l))) 1) (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))) (* w0 (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))))) (sqrt (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l))))) (- 1 (* (* (/ D 2) (* (/ M d) M)) (* (/ (/ D d) 2) (/ h l)))) (* (* (/ h l) D) (/ (/ M d) 2)) (* (/ h l) D) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* M M) D) (* (* d d) l) (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d))) (/ (* M M) d) (* (/ (* M M) d) (/ h d)) (* (/ (/ D d) 2) (/ h l)) (* (/ D 2) (* (/ M d) M))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 678 | 4773 |
| 1 | 2552 | 4699 |
| 0 | 8454 | 4541 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
l |
(+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* D (pow M 2)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(/ (pow M 2) d) |
(/ (* (pow M 2) h) (pow d 2)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
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(* (pow M 2) (- (/ l (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (pow d 2))))) |
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(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
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(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(/ (* D h) l) |
(* 1/2 (/ (* D h) (* d l))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (- (/ l (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (pow d 2))))) |
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(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
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(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
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(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (- (/ l h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* -1 (/ l h)) (* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
(* (pow d 2) l) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(* l (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(* -1 (* l (- (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (- (* (pow d 2) l) (* 1/4 (* (pow D 2) (* (pow M 2) h)))) (pow d 2)) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))) w0) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l)) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 w0 h) d) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h h) w0) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (*.f64 M M) w0) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) l) (*.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 h h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) (*.f64 M M))) (*.f64 M M) w0) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 h d) (/.f64 (*.f64 D D) d)) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (*.f64 h M)) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 h h) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) (*.f64 M M) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) l))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)) |
l |
(+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64) l) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (/.f64 (*.f64 (*.f64 h M) D) d)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) |
(* D (pow M 2)) |
(*.f64 (*.f64 M M) D) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 M M) h) d)) |
(/ (pow M 2) d) |
(/.f64 (*.f64 M M) d) |
(/ (* (pow M 2) h) (pow d 2)) |
(*.f64 (/.f64 h d) (/.f64 (*.f64 M M) d)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(*.f64 (*.f64 D (/.f64 (*.f64 M M) d)) #s(literal 1/2 binary64)) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d)) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 w0 d) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 w0 d) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 w0 d) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (/.f64 d D) #s(literal 3 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l))))) M) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
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(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 d d)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 d d)) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (*.f64 d d) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/4 binary64) d) #s(literal 1 binary64)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/4 binary64) d) #s(literal 1 binary64)) |
(/ (- (* (pow d 2) l) (* 1/4 (* (pow D 2) (* (pow M 2) h)))) (pow d 2)) |
(/.f64 (fma.f64 (*.f64 d d) l (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)))) (*.f64 d d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 546 |
| 0 | 104 | 546 |
| 1 | 326 | 488 |
| 2 | 2358 | 488 |
| 0 | 8101 | 484 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64)) |
(-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)) |
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) |
(*.f64 (/.f64 h l) D) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 M M) D) |
(*.f64 (*.f64 d d) l) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d))) |
(/.f64 (*.f64 M M) d) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))) (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)) M) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) (/.f64 D #s(literal 2 binary64))) (*.f64 (/.f64 M d) M)) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M) (/.f64 h l)) (/.f64 (/.f64 D d) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)) (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l)) (/.f64 M d))) (/.f64 D #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) (*.f64 (/.f64 M d) M))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l)) (/.f64 M d))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (/.f64 h l) D)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (*.f64 (/.f64 h l) D)) (/.f64 (/.f64 M d) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 M d) D) (/.f64 h l))) (/.f64 (/.f64 M d) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l))) (/.f64 M d)) |
(*.f64 (*.f64 (*.f64 (/.f64 M d) D) (/.f64 h l)) (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) (/.f64 D #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) (*.f64 (/.f64 M d) M)) (/.f64 D #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M)) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (*.f64 (/.f64 h l) (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 M d) M) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) (/.f64 h l)) |
(*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (*.f64 M (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) (/.f64 h l))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) (/.f64 h l)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l)) (/.f64 M d)) (/.f64 D #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l)) (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)) |
(*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))) |
(*.f64 (/.f64 M d) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l)) (/.f64 D #s(literal 2 binary64)))) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) (*.f64 (/.f64 M d) M))) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l)) (/.f64 M d))) |
(*.f64 D (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l)) (/.f64 M d)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 D d) h) l) (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) h) (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D d) h) (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M))) (neg.f64 (*.f64 l #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) (*.f64 (/.f64 M d) M)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 D (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) (*.f64 (/.f64 M d) M)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (/.f64 h l) D)) (/.f64 D #s(literal 2 binary64)))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l)) (/.f64 M d)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) (neg.f64 h))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) h))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) (*.f64 (*.f64 (/.f64 M d) M) D))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M) (/.f64 (*.f64 (/.f64 D d) h) l))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) h))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M) (*.f64 (/.f64 D d) h))) (neg.f64 (*.f64 l #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 D (/.f64 M d)) (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l))))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (*.f64 (*.f64 (/.f64 M d) D) (/.f64 h l)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l)) (/.f64 M d)) (neg.f64 D))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (*.f64 M (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (/.f64 h l) D)))) (neg.f64 d)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) h))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 D (/.f64 M d)) (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) (/.f64 h l))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 D d) h) l) (*.f64 (*.f64 (/.f64 M d) M) D))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) h) (*.f64 (*.f64 (/.f64 M d) M) D))) (neg.f64 (*.f64 l #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D d) h) (*.f64 (*.f64 (/.f64 M d) M) D))) (neg.f64 (*.f64 (*.f64 l #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (/.f64 (*.f64 (/.f64 D d) h) l))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) h))) (neg.f64 (*.f64 l #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 (/.f64 D d) h))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 l #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (/.f64 h l) D)) (neg.f64 D))) (neg.f64 (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (/.f64 h l) D)) D)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (/.f64 h l) D)))) (neg.f64 (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (neg.f64 (*.f64 D (*.f64 (*.f64 M (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (/.f64 h l) D)))) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (neg.f64 h) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))) (neg.f64 l)) |
(/.f64 (*.f64 (/.f64 (*.f64 (/.f64 D d) h) l) (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) h) (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M)) l) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) h) (*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M)) (*.f64 l #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) (*.f64 (/.f64 M d) M))) #s(literal -2 binary64)) |
(/.f64 (*.f64 D (*.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) (*.f64 (/.f64 M d) M))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 M (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (/.f64 h l) D)) (/.f64 D #s(literal 2 binary64))) d) |
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(neg.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (*.f64 (neg.f64 l) (*.f64 d d)))) |
(*.f64 (*.f64 (neg.f64 D) M) (neg.f64 M)) |
(*.f64 (neg.f64 M) (*.f64 (neg.f64 D) M)) |
(*.f64 (*.f64 M M) D) |
(*.f64 (*.f64 M D) M) |
(*.f64 M (*.f64 M D)) |
(*.f64 D (*.f64 M M)) |
(fabs.f64 (*.f64 (*.f64 M M) (neg.f64 D))) |
(fabs.f64 (*.f64 (*.f64 M M) D)) |
(*.f64 (*.f64 l (neg.f64 d)) (neg.f64 d)) |
(*.f64 (*.f64 l d) d) |
(*.f64 (neg.f64 d) (*.f64 (neg.f64 d) l)) |
(*.f64 (*.f64 d d) l) |
(*.f64 l (*.f64 d d)) |
(*.f64 d (*.f64 l d)) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) #s(literal 1/4 binary64)) (*.f64 D D)) |
(*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) (/.f64 h d)) (*.f64 (/.f64 M d) M)) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 D D)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) M) (/.f64 M d)) (/.f64 h d)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 D (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)))) |
(*.f64 (*.f64 (/.f64 M d) M) (*.f64 (/.f64 h d) (*.f64 (*.f64 D D) #s(literal 1/4 binary64)))) |
(*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 (*.f64 D D) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 h d) (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) M) (/.f64 M d))) |
(*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d))) |
(*.f64 (*.f64 D D) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 D D))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 (*.f64 D D) #s(literal 1/4 binary64)))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal 1/4 binary64)))) (neg.f64 (*.f64 d d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) M) (/.f64 M d)) (neg.f64 h))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) M) (/.f64 M d)) h)) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) h))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) (*.f64 (*.f64 M M) h))) (neg.f64 (*.f64 d d))) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (*.f64 (*.f64 D D) #s(literal 1/4 binary64))) d) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal 1/4 binary64))) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) M) (/.f64 M d)) (neg.f64 h)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) M) (/.f64 M d)) h) d) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) h)) d) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) (*.f64 (*.f64 M M) h)) (*.f64 d d)) |
(*.f64 (neg.f64 M) (/.f64 (neg.f64 M) d)) |
(*.f64 (/.f64 M d) M) |
(*.f64 M (/.f64 M d)) |
(/.f64 (*.f64 (neg.f64 M) M) (neg.f64 (neg.f64 (neg.f64 d)))) |
(/.f64 (*.f64 (neg.f64 M) M) (neg.f64 d)) |
(/.f64 (*.f64 M M) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 M M) d) |
(neg.f64 (/.f64 (*.f64 (neg.f64 M) M) d)) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 M) M) d)) |
(fabs.f64 (*.f64 (/.f64 M d) M)) |
(*.f64 (*.f64 (/.f64 h d) (/.f64 M d)) M) |
(*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) |
(*.f64 (/.f64 (*.f64 (neg.f64 M) M) d) (/.f64 h (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) |
(*.f64 (/.f64 h d) (*.f64 (/.f64 M d) M)) |
(*.f64 (*.f64 M M) (/.f64 (/.f64 h d) d)) |
(*.f64 (*.f64 M M) (/.f64 h (*.f64 d d))) |
(*.f64 (/.f64 M d) (*.f64 M (/.f64 h d))) |
(*.f64 M (*.f64 (/.f64 M d) (/.f64 h d))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 M M) h) (neg.f64 d))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) M) (/.f64 h d))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (*.f64 (/.f64 M d) M))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) (neg.f64 h))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (/.f64 h d) (*.f64 (neg.f64 M) M))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) h))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 M M) h))) (neg.f64 (neg.f64 (*.f64 d d)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) M) (neg.f64 h))) (neg.f64 (*.f64 d d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) M) h)) (*.f64 d d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 M M) (neg.f64 h))) (*.f64 d d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (*.f64 (neg.f64 M) M))) (neg.f64 (*.f64 d d))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (*.f64 M M))) (*.f64 d d)) |
(/.f64 (neg.f64 (*.f64 h (*.f64 (neg.f64 M) M))) (*.f64 d d)) |
(/.f64 (/.f64 (*.f64 (*.f64 M M) h) (neg.f64 d)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) (/.f64 h d)) (neg.f64 d)) |
(/.f64 (*.f64 (neg.f64 h) (*.f64 (/.f64 M d) M)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) M) (neg.f64 h)) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 h d) (*.f64 (neg.f64 M) M)) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) h)) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 M M) h)) (neg.f64 (*.f64 d d))) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) (neg.f64 h)) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) h) (*.f64 (neg.f64 d) d)) |
(/.f64 (*.f64 (*.f64 M M) (neg.f64 h)) (*.f64 d (neg.f64 d))) |
(/.f64 (*.f64 (neg.f64 h) (*.f64 (neg.f64 M) M)) (*.f64 d d)) |
(/.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (neg.f64 d) d)) |
(/.f64 (*.f64 h (*.f64 (neg.f64 M) M)) (*.f64 d (neg.f64 d))) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) M) h) d) |
(/.f64 (*.f64 (*.f64 M M) h) (*.f64 d d)) |
(*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)) |
(*.f64 (/.f64 D d) (/.f64 (/.f64 h l) #s(literal 2 binary64))) |
(*.f64 (/.f64 D d) (/.f64 h (*.f64 l #s(literal 2 binary64)))) |
(*.f64 (/.f64 h l) (/.f64 (/.f64 D d) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 D) d) (/.f64 h l))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (/.f64 (/.f64 D d) #s(literal 2 binary64)))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (neg.f64 h))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 (/.f64 h l) (/.f64 (neg.f64 D) d))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (/.f64 D d) h) l))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) h))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 D d) h))) (neg.f64 (neg.f64 (*.f64 l #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 D) d) (neg.f64 h))) (neg.f64 (*.f64 #s(literal -2 binary64) (neg.f64 l)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 D) d) h)) (neg.f64 (*.f64 #s(literal -2 binary64) l))) |
(/.f64 (neg.f64 (*.f64 (/.f64 D d) (neg.f64 h))) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 l)))) |
(/.f64 (neg.f64 (*.f64 D (neg.f64 h))) (neg.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) (neg.f64 l)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (/.f64 (neg.f64 D) d))) (neg.f64 (*.f64 (neg.f64 l) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (/.f64 D d))) (neg.f64 (*.f64 (neg.f64 l) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) D)) (neg.f64 (*.f64 (neg.f64 l) (*.f64 d #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 h (/.f64 (neg.f64 D) d))) (neg.f64 (*.f64 l #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 h l) D)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (/.f64 (neg.f64 D) d) (/.f64 h l)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (neg.f64 h) (/.f64 (/.f64 D d) #s(literal 2 binary64))) (neg.f64 l)) |
(/.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (neg.f64 h)) (neg.f64 l)) |
(/.f64 (*.f64 (/.f64 h l) (/.f64 (neg.f64 D) d)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 h D)) (neg.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l))) |
(/.f64 (neg.f64 (*.f64 h D)) (neg.f64 (*.f64 l (*.f64 d #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (/.f64 D d) h) l)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) h)) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (/.f64 D d) h)) (neg.f64 (*.f64 l #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 D) d) (neg.f64 h)) (*.f64 #s(literal -2 binary64) (neg.f64 l))) |
(/.f64 (*.f64 (/.f64 (neg.f64 D) d) h) (*.f64 #s(literal -2 binary64) l)) |
(/.f64 (*.f64 (/.f64 D d) (neg.f64 h)) (*.f64 #s(literal 2 binary64) (neg.f64 l))) |
(/.f64 (*.f64 D (neg.f64 h)) (*.f64 (*.f64 d #s(literal 2 binary64)) (neg.f64 l))) |
(/.f64 (*.f64 (neg.f64 h) (/.f64 (neg.f64 D) d)) (*.f64 (neg.f64 l) #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 h) (/.f64 D d)) (*.f64 (neg.f64 l) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 h) D) (*.f64 (neg.f64 l) (*.f64 d #s(literal 2 binary64)))) |
(/.f64 (*.f64 h (/.f64 (neg.f64 D) d)) (*.f64 l #s(literal -2 binary64))) |
(/.f64 (*.f64 h D) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) |
(/.f64 (*.f64 h D) (*.f64 l (*.f64 d #s(literal 2 binary64)))) |
(/.f64 (/.f64 (*.f64 (/.f64 D d) h) l) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) h) l) |
(/.f64 (*.f64 (/.f64 D d) h) (*.f64 l #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 h l) D) (*.f64 d #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) M) (/.f64 M d)) |
(*.f64 (*.f64 (/.f64 M d) M) (/.f64 D #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) M) |
(*.f64 (/.f64 M d) (*.f64 M (/.f64 D #s(literal 2 binary64)))) |
(*.f64 M (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D)) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) |
(*.f64 D (/.f64 (*.f64 (/.f64 M d) M) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) M) (/.f64 D #s(literal 2 binary64)))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 M M) (/.f64 D #s(literal 2 binary64)))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 (/.f64 M d) M))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) (neg.f64 D))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (neg.f64 M) M))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 M M))) (neg.f64 d)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) D))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) M) (neg.f64 D))) (neg.f64 (*.f64 (neg.f64 d) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 M) M) D)) (neg.f64 (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 M M) (neg.f64 D))) (neg.f64 (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 (neg.f64 M) M))) (neg.f64 (*.f64 #s(literal -2 binary64) (neg.f64 d)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 M M))) (neg.f64 (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (neg.f64 (*.f64 D (*.f64 (neg.f64 M) M))) (neg.f64 (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) (/.f64 D #s(literal 2 binary64))) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 M M) (/.f64 D #s(literal 2 binary64))) d) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 (/.f64 M d) M)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) M) (neg.f64 D)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (neg.f64 M) M)) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 M M)) d) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) D)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 M M) D)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) (neg.f64 D)) (*.f64 (neg.f64 d) #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) D) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (*.f64 M M) (neg.f64 D)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 (neg.f64 M) M)) (*.f64 #s(literal -2 binary64) (neg.f64 d))) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 M M)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 D (*.f64 (neg.f64 M) M)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 d #s(literal 2 binary64))) |
Compiled 24 335 to 3 644 computations (85% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 574 | 18 | 592 |
| Fresh | 6 | 4 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 585 | 23 | 608 |
| Status | Accuracy | Program |
|---|---|---|
| 68.1% | (*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) l) l))) w0) | |
| 73.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d))))) | |
| 74.9% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) | |
| 84.2% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h D) M) (*.f64 l (*.f64 d #s(literal 2 binary64))))))))) | |
| ▶ | 80.3% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
| 83.5% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M))) (/.f64 D l) #s(literal 1 binary64))))) | |
| 69.7% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D l)) (*.f64 d d)) #s(literal 1 binary64))))) | |
| ▶ | 74.0% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
| ▶ | 56.6% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))))) |
| 66.6% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))) | |
| 82.7% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))) | |
| 74.1% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))) | |
| 74.1% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) #s(approx (/ (* (* (* M M) D) D) (* (* d d) l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) | |
| 70.6% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) M) (/.f64 M d)) h) d)) l)))) | |
| 60.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal 1/4 binary64))) (*.f64 d d))) l)))) | |
| ▶ | 85.6% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)))) |
| 16.2% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64))) l)))) | |
| 13.7% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) | |
| 57.4% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) | |
| ✓ | 70.5% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 58.3% | (*.f64 w0 #s(approx (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)))) | |
| ▶ | 56.6% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
| 63.9% | #s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0)) |
Compiled 1 660 to 1 237 computations (25.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (*.f64 D D) | |
| cost-diff | 0 | (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0) | |
| cost-diff | 0 | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) | |
| cost-diff | 0 | #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)))) | |
| cost-diff | 1 | (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 818 |
| 0 | 117 | 830 |
| 1 | 254 | 830 |
| 2 | 1020 | 814 |
| 3 | 5563 | 814 |
| 0 | 8373 | 813 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)) |
(/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l) |
(-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) |
l |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D) |
(*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) |
(*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) |
(*.f64 (/.f64 h d) M) |
(/.f64 h d) |
h |
d |
M |
(/.f64 M d) |
(*.f64 #s(literal 1/4 binary64) D) |
#s(literal 1/4 binary64) |
D |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 D D) |
D |
#s(literal -1/8 binary64) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) |
(/.f64 (*.f64 (*.f64 M M) h) l) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
l |
(/.f64 w0 (*.f64 d d)) |
w0 |
(*.f64 d d) |
d |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)) |
(*.f64 h #s(literal -1/4 binary64)) |
h |
#s(literal -1/4 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) |
(*.f64 (*.f64 (*.f64 M M) D) D) |
(*.f64 (*.f64 M M) D) |
(*.f64 M M) |
M |
D |
(*.f64 (*.f64 l d) d) |
(*.f64 l d) |
l |
d |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)) |
(*.f64 h #s(literal -1/4 binary64)) |
h |
#s(literal -1/4 binary64) |
(*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) |
(/.f64 (*.f64 M M) (*.f64 d d)) |
(*.f64 M M) |
M |
(*.f64 d d) |
d |
(/.f64 (*.f64 D D) l) |
(*.f64 D D) |
D |
l |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) |
(*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) |
(/.f64 D d) |
D |
d |
(*.f64 (/.f64 M d) M) |
(/.f64 M d) |
M |
(*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) |
(/.f64 D l) |
l |
(*.f64 #s(literal -1/4 binary64) h) |
#s(literal -1/4 binary64) |
h |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)))) w0) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64))) |
(/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l) |
(fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)) |
(-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) |
(fma.f64 (*.f64 (*.f64 (/.f64 h d) M) D) (*.f64 (*.f64 (/.f64 D d) M) #s(literal -1/4 binary64)) l) |
l |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D) |
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (/.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) d)) |
(*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) |
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) h) (/.f64 (*.f64 #s(literal 1/4 binary64) D) d)) |
(*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) |
(*.f64 (/.f64 (*.f64 (/.f64 h d) M) d) M) |
(*.f64 (/.f64 h d) M) |
(/.f64 h d) |
h |
d |
M |
(/.f64 M d) |
(*.f64 #s(literal 1/4 binary64) D) |
#s(literal 1/4 binary64) |
D |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (*.f64 w0 (*.f64 h (/.f64 (*.f64 M (/.f64 M l)) d))) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (*.f64 w0 (*.f64 h (/.f64 (*.f64 M (/.f64 M l)) d))) w0) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 D D)) |
(*.f64 D D) |
D |
#s(literal -1/8 binary64) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) |
(*.f64 (/.f64 (/.f64 w0 (*.f64 d d)) l) (*.f64 (*.f64 M M) h)) |
(/.f64 (*.f64 (*.f64 M M) h) l) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
l |
(/.f64 w0 (*.f64 d d)) |
w0 |
(*.f64 d d) |
d |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)))) w0) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)) |
(*.f64 h #s(literal -1/4 binary64)) |
(*.f64 #s(literal -1/4 binary64) h) |
h |
#s(literal -1/4 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) |
(*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 D M) D) d)) |
(*.f64 (*.f64 (*.f64 M M) D) D) |
(*.f64 (*.f64 M M) D) |
(*.f64 M M) |
M |
D |
(*.f64 (*.f64 l d) d) |
(*.f64 l d) |
l |
d |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)))) w0) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)) |
(*.f64 h #s(literal -1/4 binary64)) |
(*.f64 #s(literal -1/4 binary64) h) |
h |
#s(literal -1/4 binary64) |
(*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) |
(*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 D M) D) d)) |
(/.f64 (*.f64 M M) (*.f64 d d)) |
(*.f64 (/.f64 (/.f64 M d) d) M) |
(*.f64 M M) |
M |
(*.f64 d d) |
d |
(/.f64 (*.f64 D D) l) |
(*.f64 D D) |
D |
l |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)))) w0) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 h (*.f64 l d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/4 binary64)) d) #s(literal 1 binary64)) |
(*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) |
(*.f64 (*.f64 (/.f64 D d) M) (/.f64 M d)) |
(/.f64 D d) |
D |
d |
(*.f64 (/.f64 M d) M) |
(/.f64 M d) |
M |
(*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) |
(*.f64 (*.f64 h D) (/.f64 #s(literal -1/4 binary64) l)) |
(/.f64 D l) |
l |
(*.f64 #s(literal -1/4 binary64) h) |
#s(literal -1/4 binary64) |
h |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.6345446689067287 | (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) | |
| accuracy | 4.636239790143736 | (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) | |
| accuracy | 5.3599625980579155 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))) | |
| accuracy | 5.71427428366406 | (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) | |
| accuracy | 5.3599625980579155 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)))) | |
| accuracy | 8.3105679617043 | (/.f64 (*.f64 D D) l) | |
| accuracy | 13.59084374841619 | (/.f64 (*.f64 M M) (*.f64 d d)) | |
| accuracy | 14.804432232434849 | (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) | |
| accuracy | 2.831634244387535 | (*.f64 (*.f64 (*.f64 M M) D) D) | |
| accuracy | 5.3599625980579155 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) | |
| accuracy | 9.212988412365206 | (*.f64 (*.f64 M M) D) | |
| accuracy | 14.03656517395049 | (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) | |
| accuracy | 9.436618460468331 | (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) | |
| accuracy | 10.226845304830174 | (/.f64 w0 (*.f64 d d)) | |
| accuracy | 11.067078699394031 | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) | |
| accuracy | 14.555929222943854 | (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0) | |
| accuracy | 4.510124186126845 | (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D) | |
| accuracy | 4.523000129220588 | (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) | |
| accuracy | 5.3599625980579155 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l))) | |
| accuracy | 5.485165941755933 | (*.f64 (/.f64 h d) M) |
| 110.0ms | 256× | 0 | valid |
Compiled 572 to 62 computations (89.2% saved)
ival-mult: 44.0ms (57.6% of total)ival-div: 20.0ms (26.2% of total)ival-add: 5.0ms (6.5% of total)ival-pow2: 3.0ms (3.9% of total)ival-sub: 2.0ms (2.6% of total)ival-sqrt: 2.0ms (2.6% of total)exact: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 D D) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) |
(*.f64 (/.f64 h d) M) |
(*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D) |
(/.f64 w0 (*.f64 d d)) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) |
(*.f64 (*.f64 M M) D) |
(*.f64 (*.f64 (*.f64 M M) D) D) |
(*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) |
(/.f64 (*.f64 M M) (*.f64 d d)) |
(/.f64 (*.f64 D D) l) |
(*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) |
(*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(/ w0 (pow d 2)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
l |
(+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(/ (* M h) d) |
(* 1/4 (/ (* D (* (pow M 2) h)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* D (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(/ (pow M 2) (pow d 2)) |
(/ (* D (pow M 2)) (pow d 2)) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(* (pow M 2) (- (/ l (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (pow d 2))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* -1/8 (pow D 2)) |
(pow D 2) |
(/ (pow D 2) l) |
(* -1/4 (/ (* D h) l)) |
(* (pow D 2) (- (/ l (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (pow d 2))))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* h (- (/ l h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1 (* h (- (* -1 (/ l h)) (* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)))))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(* l (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(* -1 (* l (- (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(/ (- (* (pow d 2) l) (* 1/4 (* (pow D 2) (* (pow M 2) h)))) (pow d 2)) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | D | @ | 0 | ((- l (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* l d) d))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (/ (* M M) (* d d)) (/ (* D D) l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* (/ D d) (* (/ M d) M)) (* (/ D l) (* -1/4 h))) 1) (* (/ h d) M) (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D) (/ w0 (* d d)) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (* (* M M) D) D) (* (/ (* M M) (* d d)) (/ (* D D) l)) (/ (* M M) (* d d)) (/ (* D D) l) (* (/ D d) (* (/ M d) M)) (* (/ D l) (* -1/4 h))) |
| 22.0ms | l | @ | inf | ((- l (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* l d) d))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (/ (* M M) (* d d)) (/ (* D D) l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* (/ D d) (* (/ M d) M)) (* (/ D l) (* -1/4 h))) 1) (* (/ h d) M) (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D) (/ w0 (* d d)) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (* (* M M) D) D) (* (/ (* M M) (* d d)) (/ (* D D) l)) (/ (* M M) (* d d)) (/ (* D D) l) (* (/ D d) (* (/ M d) M)) (* (/ D l) (* -1/4 h))) |
| 21.0ms | l | @ | -inf | ((- l (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* l d) d))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (/ (* M M) (* d d)) (/ (* D D) l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* (/ D d) (* (/ M d) M)) (* (/ D l) (* -1/4 h))) 1) (* (/ h d) M) (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D) (/ w0 (* d d)) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (* (* M M) D) D) (* (/ (* M M) (* d d)) (/ (* D D) l)) (/ (* M M) (* d d)) (/ (* D D) l) (* (/ D d) (* (/ M d) M)) (* (/ D l) (* -1/4 h))) |
| 19.0ms | M | @ | inf | ((- l (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* l d) d))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (/ (* M M) (* d d)) (/ (* D D) l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* (/ D d) (* (/ M d) M)) (* (/ D l) (* -1/4 h))) 1) (* (/ h d) M) (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D) (/ w0 (* d d)) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (* (* M M) D) D) (* (/ (* M M) (* d d)) (/ (* D D) l)) (/ (* M M) (* d d)) (/ (* D D) l) (* (/ D d) (* (/ M d) M)) (* (/ D l) (* -1/4 h))) |
| 17.0ms | h | @ | 0 | ((- l (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D)) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (/ (* (* (* M M) D) D) (* (* l d) d))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (/ (* M M) (* d d)) (/ (* D D) l))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* (/ D d) (* (/ M d) M)) (* (/ D l) (* -1/4 h))) 1) (* (/ h d) M) (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) (* (* (* (* (/ h d) M) (/ M d)) (* 1/4 D)) D) (/ w0 (* d d)) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (* (* M M) D) D) (* (/ (* M M) (* d d)) (/ (* D D) l)) (/ (* M M) (* d d)) (/ (* D D) l) (* (/ D d) (* (/ M d) M)) (* (/ D l) (* -1/4 h))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 706 | 4990 |
| 1 | 2634 | 4916 |
| 0 | 8674 | 4751 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(/ w0 (pow d 2)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
l |
(+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(/ (* M h) d) |
(* 1/4 (/ (* D (* (pow M 2) h)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* D (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(/ (pow M 2) (pow d 2)) |
(/ (* D (pow M 2)) (pow d 2)) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(* (pow M 2) (- (/ l (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (pow d 2))))) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* -1/8 (pow D 2)) |
(pow D 2) |
(/ (pow D 2) l) |
(* -1/4 (/ (* D h) l)) |
(* (pow D 2) (- (/ l (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (pow d 2))))) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* h (- (/ l h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1 (* h (- (* -1 (/ l h)) (* -1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2)))))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)))))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(* l (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(* -1 (* l (- (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(/ (- (* (pow d 2) l) (* 1/4 (* (pow D 2) (* (pow M 2) h)))) (pow d 2)) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))) w0) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)) w0) |
(/ w0 (pow d 2)) |
(/.f64 w0 (*.f64 d d)) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) |
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
(*.f64 (neg.f64 w0) (-.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))) #s(literal 1 binary64))) |
l |
(+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal -1/4 binary64) l) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l)) w0) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h h) w0) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 D D) h) d) (/.f64 w0 d)))) (*.f64 M M) w0) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) l) (*.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 h h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) (*.f64 M M))) (*.f64 M M) w0) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 M h) (*.f64 M h)) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) l))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 h h) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))))) (*.f64 M M) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) l))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64)) |
(/ (* M h) d) |
(/.f64 (*.f64 M h) d) |
(* 1/4 (/ (* D (* (pow M 2) h)) (pow d 2))) |
(*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) d) (/.f64 (*.f64 (*.f64 M M) h) d)) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 d d) l)) |
(* D (pow M 2)) |
(*.f64 (*.f64 M M) D) |
(* (pow D 2) (pow M 2)) |
(*.f64 (*.f64 D M) (*.f64 D M)) |
(/ (pow M 2) (pow d 2)) |
(*.f64 (/.f64 M d) (/.f64 M d)) |
(/ (* D (pow M 2)) (pow d 2)) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d)) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2))) |
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal -1/4 binary64)) |
(* (pow M 2) (- (/ l (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (pow d 2))))) |
(*.f64 (-.f64 (/.f64 l (*.f64 M M)) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 (*.f64 D D) h) d))) (*.f64 M M)) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(*.f64 (sqrt.f64 (/.f64 h l)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d)) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 w0 d) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))) M) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 w0 d) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l))))) M) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64)))) (pow.f64 (/.f64 d D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 d #s(literal 5 binary64)) w0)) (*.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)) (pow.f64 M #s(literal 6 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 w0 d) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) D) d) (sqrt.f64 (/.f64 h l)))))) M) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d) (sqrt.f64 (/.f64 h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (*.f64 M M))) (sqrt.f64 (/.f64 l h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) D) d) (sqrt.f64 (/.f64 h l)))) M) |
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(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 d d) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 d d)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 d d)) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (*.f64 d d) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/4 binary64) d) #s(literal 1 binary64)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l)) #s(literal -1/8 binary64) (*.f64 (*.f64 d d) w0)) (*.f64 d d)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/4 binary64) d) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 682 |
| 0 | 117 | 682 |
| 1 | 367 | 648 |
| 2 | 2496 | 620 |
| 0 | 8331 | 620 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 D D) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) |
(*.f64 (/.f64 h d) M) |
(*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D) |
(/.f64 w0 (*.f64 d d)) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) |
(*.f64 (*.f64 M M) D) |
(*.f64 (*.f64 (*.f64 M M) D) D) |
(*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) |
(/.f64 (*.f64 M M) (*.f64 d d)) |
(/.f64 (*.f64 D D) l) |
(*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) |
(*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 l l) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 l l) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l)) (/.f64 (*.f64 l l) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l)) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l)) (*.f64 (/.f64 (*.f64 l l) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l) (*.f64 l l))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l) (*.f64 l l))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l) (*.f64 l l))) (/.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l) (*.f64 l l))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l) (*.f64 l l))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l) (*.f64 l l))) (*.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l) (*.f64 l l))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l) (*.f64 l l))))))) |
(/.f64 (-.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 D #s(literal 1/4 binary64))) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)))) D) #s(literal 3 binary64))) (fma.f64 l l (fma.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 D #s(literal 1/4 binary64))) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)))) D) (*.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 D #s(literal 1/4 binary64))) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)))) D) (*.f64 l (*.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 D #s(literal 1/4 binary64))) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)))) D))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)))) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 (/.f64 M d) (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 D #s(literal 4 binary64)) (-.f64 (*.f64 l l) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)))) l)))) |
(/.f64 (+.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 D #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)))) #s(literal 3 binary64))) (fma.f64 l l (-.f64 (*.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 D #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)))) (*.f64 (neg.f64 D) (*.f64 (*.f64 D #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))))) (*.f64 l (*.f64 (neg.f64 D) (*.f64 (*.f64 D #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)))))))) |
(/.f64 (+.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) (*.f64 (*.f64 D #s(literal 1/4 binary64)) D)) #s(literal 3 binary64))) (fma.f64 l l (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) (*.f64 (*.f64 D #s(literal 1/4 binary64)) D)) (*.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) (*.f64 (*.f64 D #s(literal 1/4 binary64)) D))) (*.f64 l (*.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) (*.f64 (*.f64 D #s(literal 1/4 binary64)) D)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 l l (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) #s(literal 2 binary64)) (*.f64 l (neg.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 l l) (pow.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d))) (fma.f64 (*.f64 (*.f64 D #s(literal 1/4 binary64)) D) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 h d)) l) (*.f64 l l))))) |
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(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)))) (neg.f64 (*.f64 l (*.f64 (neg.f64 d) d)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (neg.f64 D)) (*.f64 d (neg.f64 l))) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) D) (*.f64 d l)) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 (neg.f64 M) M)) (*.f64 (neg.f64 l) (*.f64 (neg.f64 d) d))) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 (/.f64 M d) M)) (*.f64 (neg.f64 l) d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 M M)) (*.f64 l (*.f64 (neg.f64 d) d))) |
(/.f64 (*.f64 (*.f64 D D) (*.f64 (neg.f64 M) M)) (*.f64 l (*.f64 (neg.f64 d) d))) |
(/.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 M d) M)) (*.f64 d l)) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) M) (*.f64 (neg.f64 D) D)) (*.f64 (*.f64 (neg.f64 d) d) (neg.f64 l))) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) M) (*.f64 (neg.f64 D) D)) (*.f64 d (neg.f64 l))) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) M) (*.f64 D D)) (*.f64 d l)) |
(/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) l) d) d) |
(/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) l) (*.f64 d d)) |
(/.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) l) |
(/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 d) d) l)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 (*.f64 d d) (neg.f64 l))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 l (*.f64 (neg.f64 d) d))) |
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 d l) d)) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 (*.f64 d l) d))) |
(neg.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 l (*.f64 (neg.f64 d) d)))) |
(*.f64 (neg.f64 (neg.f64 (/.f64 M d))) (neg.f64 (neg.f64 (/.f64 M d)))) |
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 (neg.f64 M) d)) |
(*.f64 (/.f64 M (neg.f64 d)) (/.f64 M (neg.f64 d))) |
(*.f64 (neg.f64 (/.f64 M d)) (neg.f64 (/.f64 M d))) |
(*.f64 (/.f64 (/.f64 M d) d) M) |
(*.f64 (neg.f64 M) (/.f64 M (*.f64 (neg.f64 d) d))) |
(*.f64 (/.f64 M d) (/.f64 M d)) |
(*.f64 M (/.f64 (/.f64 M d) d)) |
(pow.f64 (/.f64 (neg.f64 M) d) #s(literal 2 binary64)) |
(pow.f64 (/.f64 M (neg.f64 d)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (/.f64 M d)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 M d) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 M) (/.f64 M d))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (/.f64 M d) (neg.f64 M))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 M) M) d)) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 M d) M))) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 (neg.f64 M) (/.f64 M d)) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 M d) (neg.f64 M)) (neg.f64 d)) |
(/.f64 (/.f64 (*.f64 (neg.f64 M) M) d) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (/.f64 M d) M)) (neg.f64 d)) |
(/.f64 (*.f64 (neg.f64 M) M) (*.f64 (neg.f64 d) d)) |
(/.f64 (*.f64 (/.f64 M d) M) d) |
(/.f64 (*.f64 M M) (*.f64 d d)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 M) M) (*.f64 d d))) |
(fabs.f64 (pow.f64 (/.f64 M d) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 M) #s(literal 2 binary64)) (*.f64 (log.f64 d) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 M d)) #s(literal 2 binary64))) |
(*.f64 (neg.f64 D) (/.f64 (neg.f64 D) l)) |
(*.f64 (/.f64 D l) D) |
(*.f64 D (/.f64 D l)) |
(/.f64 (*.f64 (neg.f64 D) D) (neg.f64 (neg.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (neg.f64 D) D) (neg.f64 l)) |
(/.f64 (*.f64 D D) (neg.f64 (neg.f64 l))) |
(/.f64 (*.f64 D D) l) |
(neg.f64 (/.f64 (*.f64 (neg.f64 D) D) l)) |
(*.f64 (*.f64 (/.f64 D d) M) (/.f64 M d)) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) M) |
(*.f64 (*.f64 (/.f64 M d) M) (/.f64 D d)) |
(*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) |
(*.f64 D (pow.f64 (/.f64 M d) #s(literal 2 binary64))) |
(*.f64 (/.f64 M d) (*.f64 M (/.f64 D d))) |
(*.f64 M (*.f64 (/.f64 D d) (/.f64 M d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 M M) (/.f64 D d))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 (/.f64 M d) M))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) (neg.f64 D))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (/.f64 D d) (*.f64 M M))) (neg.f64 d)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) D))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 M M) (neg.f64 D))) (*.f64 d d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 M M))) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 M M) (/.f64 D d)) d) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 (/.f64 M d) M)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) M) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 D d) (*.f64 M M)) d) |
(/.f64 (neg.f64 (*.f64 (*.f64 M M) D)) (*.f64 (neg.f64 d) d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 M d) M) D)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 M M) (neg.f64 D)) (*.f64 (neg.f64 d) d)) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 M M)) (*.f64 (neg.f64 d) d)) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) d) |
(/.f64 (*.f64 (*.f64 M M) D) (*.f64 d d)) |
(*.f64 (*.f64 (/.f64 D l) h) #s(literal -1/4 binary64)) |
(*.f64 (*.f64 (/.f64 D l) #s(literal -1/4 binary64)) h) |
(*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) |
(*.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 D l)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 h (/.f64 D l))) |
(*.f64 D (/.f64 (*.f64 #s(literal -1/4 binary64) h) l)) |
(*.f64 h (*.f64 (/.f64 D l) #s(literal -1/4 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 #s(literal -1/4 binary64) h))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (neg.f64 D))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D))) (neg.f64 (neg.f64 l))) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 #s(literal -1/4 binary64) h)) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (neg.f64 D)) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D)) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) l) |
Compiled 33 699 to 3 847 computations (88.6% saved)
34 alts after pruning (30 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 623 | 24 | 647 |
| Fresh | 11 | 6 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 636 | 34 | 670 |
| Status | Accuracy | Program |
|---|---|---|
| 73.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d))))) | |
| 74.9% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) | |
| 80.9% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) d) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) | |
| 68.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 d d)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) | |
| 82.2% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (*.f64 (*.f64 (/.f64 D l) h) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) | |
| 79.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) l) #s(literal 1 binary64))))) | |
| 83.5% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M))) (/.f64 D l) #s(literal 1 binary64))))) | |
| 68.6% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) (*.f64 D D)) (*.f64 d l)) #s(literal 1 binary64))))) | |
| 83.0% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) D) (*.f64 d l)) #s(literal 1 binary64))))) | |
| ✓ | 74.0% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
| 76.5% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) | |
| 64.4% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d l)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))) | |
| ✓ | 56.6% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))))) |
| 82.7% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 d l)) (*.f64 (*.f64 (/.f64 M d) M) D)) #s(literal 1 binary64))))) | |
| ▶ | 84.2% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))) |
| 75.9% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d l) d)))) #s(literal 1 binary64))))) | |
| 60.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal 1/4 binary64))) (*.f64 d d))) l)))) | |
| ✓ | 85.6% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)))) |
| ▶ | 16.2% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))))) |
| ▶ | 13.7% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
| ✓ | 70.5% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 55.0% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) | |
| 77.5% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d) (/.f64 w0 d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) | |
| ▶ | 64.0% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) |
| 56.6% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 M M) h)) l) w0)) | |
| 59.5% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d l) d)) w0)) | |
| 62.0% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0)) | |
| 60.7% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 (/.f64 w0 d) d)) w0)) | |
| 60.7% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 h d)) M) (/.f64 w0 (*.f64 d l))) w0)) | |
| ▶ | 56.8% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
| 56.6% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) | |
| 70.4% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) | |
| 12.4% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))))) | |
| 63.9% | #s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0)) |
Compiled 2 400 to 1 779 computations (25.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d))) | |
| cost-diff | 0 | #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d))))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))) | |
| cost-diff | 0 | #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) | |
| cost-diff | 0 | (*.f64 D D) | |
| cost-diff | 0 | (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0) | |
| cost-diff | 0 | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) | |
| cost-diff | 0 | (*.f64 D D) | |
| cost-diff | 0 | (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0) | |
| cost-diff | 0 | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) | |
| cost-diff | 0 | (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 743 |
| 0 | 110 | 761 |
| 1 | 247 | 725 |
| 2 | 943 | 725 |
| 3 | 4227 | 725 |
| 0 | 8400 | 725 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64)) |
(*.f64 h #s(literal -1/4 binary64)) |
h |
#s(literal -1/4 binary64) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) |
(*.f64 (/.f64 D d) (/.f64 M d)) |
(/.f64 D d) |
D |
d |
(/.f64 M d) |
M |
(*.f64 M (/.f64 D l)) |
(/.f64 D l) |
l |
#s(literal 1 binary64) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 D D) |
D |
#s(literal -1/8 binary64) |
(*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
(/.f64 w0 (*.f64 (*.f64 d l) d)) |
w0 |
(*.f64 (*.f64 d l) d) |
(*.f64 d l) |
d |
l |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 D D) |
D |
#s(literal -1/8 binary64) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) |
(*.f64 (*.f64 (*.f64 M M) h) w0) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
w0 |
(*.f64 d l) |
d |
l |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))) |
#s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(/.f64 #s(literal -1/4 binary64) (*.f64 d d)) |
#s(literal -1/4 binary64) |
(*.f64 d d) |
d |
(*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) |
(*.f64 D D) |
D |
(/.f64 (*.f64 (*.f64 M M) h) l) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
l |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))))) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d))))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d))) |
(/.f64 #s(literal -1/4 binary64) l) |
#s(literal -1/4 binary64) |
l |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) |
(/.f64 (*.f64 (*.f64 M M) h) d) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
d |
(/.f64 (*.f64 D D) d) |
(*.f64 D D) |
D |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (*.f64 (/.f64 M d) D) l)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) w0) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (*.f64 (/.f64 M d) D) l)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (*.f64 (/.f64 M d) D) l)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 M d) D) (/.f64 (*.f64 (/.f64 M d) D) l)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)) |
(*.f64 h #s(literal -1/4 binary64)) |
(*.f64 #s(literal -1/4 binary64) h) |
h |
#s(literal -1/4 binary64) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) |
(*.f64 (*.f64 (/.f64 M d) D) (/.f64 (*.f64 (/.f64 M d) D) l)) |
(*.f64 (/.f64 D d) (/.f64 M d)) |
(*.f64 (/.f64 (/.f64 M d) d) D) |
(/.f64 D d) |
D |
d |
(/.f64 M d) |
M |
(*.f64 M (/.f64 D l)) |
(*.f64 (/.f64 D l) M) |
(/.f64 D l) |
l |
#s(literal 1 binary64) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (*.f64 (/.f64 (*.f64 M w0) l) (*.f64 (/.f64 h d) M)) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (*.f64 (/.f64 (*.f64 M w0) l) (*.f64 (/.f64 h d) M)) w0) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 D D)) |
(*.f64 D D) |
D |
#s(literal -1/8 binary64) |
(*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) |
(*.f64 (/.f64 w0 (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l)) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
(/.f64 w0 (*.f64 (*.f64 d l) d)) |
(/.f64 w0 (*.f64 (*.f64 l d) d)) |
w0 |
(*.f64 (*.f64 d l) d) |
(*.f64 (*.f64 l d) d) |
(*.f64 d l) |
(*.f64 l d) |
d |
l |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (*.f64 (/.f64 (*.f64 M w0) l) (*.f64 (/.f64 h d) M)) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) d) (*.f64 (/.f64 (*.f64 M w0) l) (*.f64 (/.f64 h d) M)) w0) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 D D)) |
(*.f64 D D) |
D |
#s(literal -1/8 binary64) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) |
(*.f64 (/.f64 w0 (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) h) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) |
(*.f64 (/.f64 (*.f64 M w0) l) (*.f64 (/.f64 h d) M)) |
(*.f64 (*.f64 (*.f64 M M) h) w0) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
w0 |
(*.f64 d l) |
(*.f64 l d) |
d |
l |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 D d) D) #s(literal -1/4 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) l)))) w0) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 D d) D) #s(literal -1/4 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) l)))) |
#s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 D d) D) #s(literal -1/4 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) l))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) D) #s(literal -1/4 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) l)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 d d)) |
#s(literal -1/4 binary64) |
(*.f64 d d) |
d |
(*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) |
(*.f64 (/.f64 (*.f64 (*.f64 D D) h) l) (*.f64 M M)) |
(*.f64 D D) |
D |
(/.f64 (*.f64 (*.f64 M M) h) l) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
l |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 D d) D) #s(literal -1/4 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) l)))) w0) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 D d) D) #s(literal -1/4 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) l)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 D d) D) #s(literal -1/4 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) l))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d))) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) D) #s(literal -1/4 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) l)) |
(/.f64 #s(literal -1/4 binary64) l) |
#s(literal -1/4 binary64) |
l |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) |
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) D) d) D) |
(/.f64 (*.f64 (*.f64 M M) h) d) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
d |
(/.f64 (*.f64 D D) d) |
(*.f64 (/.f64 D d) D) |
(*.f64 D D) |
D |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.82241230252741 | (/.f64 (*.f64 D D) d) | |
| accuracy | 8.30676591280042 | (*.f64 (*.f64 M M) h) | |
| accuracy | 12.785373086427839 | (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) | |
| accuracy | 43.30239455687203 | #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))) | |
| accuracy | 8.30676591280042 | (*.f64 (*.f64 M M) h) | |
| accuracy | 13.366550655815796 | (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))) | |
| accuracy | 14.97813018069493 | (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) | |
| accuracy | 43.30239455687203 | #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))) | |
| accuracy | 7.032852983923176 | (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) | |
| accuracy | 8.30676591280042 | (*.f64 (*.f64 M M) h) | |
| accuracy | 11.067078699394031 | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) | |
| accuracy | 14.555929222943854 | (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0) | |
| accuracy | 8.30676591280042 | (*.f64 (*.f64 M M) h) | |
| accuracy | 9.678260222208744 | (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) | |
| accuracy | 11.067078699394031 | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) | |
| accuracy | 14.555929222943854 | (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0) | |
| accuracy | 2.938010989944959 | (*.f64 (/.f64 D d) (/.f64 M d)) | |
| accuracy | 3.1319434686820715 | (*.f64 M (/.f64 D l)) | |
| accuracy | 5.3599625980579155 | (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64)))) | |
| accuracy | 5.682328527737217 | (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) |
| 141.0ms | 256× | 0 | valid |
Compiled 541 to 64 computations (88.2% saved)
ival-mult: 55.0ms (50.3% of total)ival-div: 38.0ms (34.7% of total)ival-sqrt: 7.0ms (6.4% of total)ival-add: 4.0ms (3.7% of total)ival-pow2: 3.0ms (2.7% of total)ival-sub: 2.0ms (1.8% of total)exact: 1.0ms (0.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 D D) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))) |
#s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d))))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d))) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) |
(*.f64 M (/.f64 D l)) |
(*.f64 (/.f64 D d) (/.f64 M d)) |
(*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) |
(*.f64 (*.f64 M M) h) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) |
(*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) |
(/.f64 (*.f64 D D) d) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* d l)) |
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* D M) l) |
(/ (* D M) (pow d 2)) |
(* (pow M 2) h) |
(/ (* (pow D 2) (* (pow M 2) h)) l) |
(/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* -1/8 (pow D 2)) |
(pow D 2) |
(/ (pow D 2) d) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)))))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 211.0ms | D | @ | 0 | ((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (* (/ D d) (/ M d)) (* M (/ D l)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d l) d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (/ (* (* (* M M) h) w0) (* d l)) d)) w0) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (* (/ -1/4 (* d d)) (* (* D D) (/ (* (* M M) h) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ -1/4 l) (* (/ (* (* M M) h) d) (/ (* D D) d))) (* (* (/ D d) (/ M d)) (* M (/ D l))) (* M (/ D l)) (* (/ D d) (/ M d)) (* (* (* M M) h) (/ w0 (* (* d l) d))) (* (* M M) h) (/ (* (* (* M M) h) w0) (* d l)) (* (* D D) (/ (* (* M M) h) l)) (* (/ (* (* M M) h) d) (/ (* D D) d)) (/ (* D D) d)) |
| 7.0ms | D | @ | -inf | ((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (* (/ D d) (/ M d)) (* M (/ D l)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d l) d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (/ (* (* (* M M) h) w0) (* d l)) d)) w0) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (* (/ -1/4 (* d d)) (* (* D D) (/ (* (* M M) h) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ -1/4 l) (* (/ (* (* M M) h) d) (/ (* D D) d))) (* (* (/ D d) (/ M d)) (* M (/ D l))) (* M (/ D l)) (* (/ D d) (/ M d)) (* (* (* M M) h) (/ w0 (* (* d l) d))) (* (* M M) h) (/ (* (* (* M M) h) w0) (* d l)) (* (* D D) (/ (* (* M M) h) l)) (* (/ (* (* M M) h) d) (/ (* D D) d)) (/ (* D D) d)) |
| 6.0ms | l | @ | 0 | ((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (* (/ D d) (/ M d)) (* M (/ D l)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d l) d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (/ (* (* (* M M) h) w0) (* d l)) d)) w0) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (* (/ -1/4 (* d d)) (* (* D D) (/ (* (* M M) h) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ -1/4 l) (* (/ (* (* M M) h) d) (/ (* D D) d))) (* (* (/ D d) (/ M d)) (* M (/ D l))) (* M (/ D l)) (* (/ D d) (/ M d)) (* (* (* M M) h) (/ w0 (* (* d l) d))) (* (* M M) h) (/ (* (* (* M M) h) w0) (* d l)) (* (* D D) (/ (* (* M M) h) l)) (* (/ (* (* M M) h) d) (/ (* D D) d)) (/ (* D D) d)) |
| 5.0ms | M | @ | -inf | ((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (* (/ D d) (/ M d)) (* M (/ D l)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d l) d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (/ (* (* (* M M) h) w0) (* d l)) d)) w0) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (* (/ -1/4 (* d d)) (* (* D D) (/ (* (* M M) h) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ -1/4 l) (* (/ (* (* M M) h) d) (/ (* D D) d))) (* (* (/ D d) (/ M d)) (* M (/ D l))) (* M (/ D l)) (* (/ D d) (/ M d)) (* (* (* M M) h) (/ w0 (* (* d l) d))) (* (* M M) h) (/ (* (* (* M M) h) w0) (* d l)) (* (* D D) (/ (* (* M M) h) l)) (* (/ (* (* M M) h) d) (/ (* D D) d)) (/ (* D D) d)) |
| 5.0ms | M | @ | inf | ((* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (+ (* (* h -1/4) (* (* (/ D d) (/ M d)) (* M (/ D l)))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d l) d)))) w0) (* (* D D) -1/8) (* D D) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (/ (/ (* (* (* M M) h) w0) (* d l)) d)) w0) (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (* (/ -1/4 (* d d)) (* (* D D) (/ (* (* M M) h) l))) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (* (/ -1/4 l) (* (/ (* (* M M) h) d) (/ (* D D) d))) (* (* (/ D d) (/ M d)) (* M (/ D l))) (* M (/ D l)) (* (/ D d) (/ M d)) (* (* (* M M) h) (/ w0 (* (* d l) d))) (* (* M M) h) (/ (* (* (* M M) h) w0) (* d l)) (* (* D D) (/ (* (* M M) h) l)) (* (/ (* (* M M) h) d) (/ (* D D) d)) (/ (* D D) d)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 672 | 4773 |
| 1 | 2553 | 4699 |
| 0 | 8507 | 4538 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow M 2) (* h w0)) (* d l)) |
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/ (* D M) l) |
(/ (* D M) (pow d 2)) |
(* (pow M 2) h) |
(/ (* (pow D 2) (* (pow M 2) h)) l) |
(/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)) |
(* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l))) |
(* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(* -1 (* M (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* M (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 4) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 6) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* (pow M 2) (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* D (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 2) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (* (pow D 2) (+ (* -1/128 (/ (* (pow M 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 2) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(* -1/8 (pow D 2)) |
(pow D 2) |
(/ (pow D 2) d) |
(* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/4 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* -1 (* D (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (* w0 (sqrt -1/4))) d) (sqrt (/ h l)))))))) |
(* -1 (* D (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l))))))) |
(* -1 (* D (+ (* -1/8 (* (/ (pow d 3) (* (pow D 4) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 6) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5))))) (+ (* 1/2 (* (/ d (* (pow D 2) (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (/ (* M (sqrt -1/4)) d) (sqrt (/ h l)))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* h w0))) (* (pow d 4) (pow l 2))))))) |
(+ w0 (* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* h w0))) (* (pow d 6) (pow l 3))))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) h)) (* (pow d 4) (pow l 2))))))) |
(+ 1 (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (* h (+ (* -1/128 (/ (* (pow D 4) (pow M 4)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) h)) (* (pow d 6) (pow l 3))))))))) |
(* h (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l))))))) |
(* h (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 7))))) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ l (pow h 3))))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ 1 (* h l)))))))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h))) |
(* -1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (* w0 (sqrt -1))) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (* w0 (sqrt -1)))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (* w0 (sqrt -1))) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (* w0 (sqrt -1))) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ h l)))) |
(* -1 (* h (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3)))))))) |
(* -1 (* h (+ (* -1 (* (/ (* (pow d 3) (sqrt -1)) (* (pow D 3) (pow M 3))) (sqrt (/ (pow l 3) (pow h 5))))) (+ (* 1/2 (* (/ (* D (* M (sqrt -1))) d) (sqrt (/ 1 (* h l))))) (+ (* 2 (* (/ (* (pow d 5) (sqrt -1)) (* (pow D 5) (pow M 5))) (sqrt (/ (pow l 5) (pow h 7))))) (* (/ (* d (sqrt -1)) (* D M)) (sqrt (/ l (pow h 3))))))))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (+ (* -1 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)))))) |
(/ (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ (* d w0) (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow d 3) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (* (pow d 5) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ (pow l 3) h)))) (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l)))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ l (pow h 3))))) (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l)))))))) l) |
(/ (+ (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (* h l))) (* (pow l 2) (+ (* 1/2 (* (/ d (* D (* M (sqrt -1/4)))) (sqrt (/ 1 (* h l))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow d 3) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ 1 (* (pow h 3) (pow l 3)))))) (* 1/16 (* (/ (pow d 5) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ 1 (* (pow h 5) l)))))))))) l) |
(/ (- l (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))))) |
(+ w0 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))))) |
(+ 1 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) (pow l 3))))))) |
(+ w0 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ w0 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (* (pow h 2) w0))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (* (pow h 3) w0))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* 1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (* (pow d 4) l))) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (/ (* (pow D 4) (* (pow M 4) (pow h 2))) (pow d 4))) (* -1/1024 (/ (* (pow D 6) (* (pow M 6) (pow h 3))) (* (pow d 6) l)))) l)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l))) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
| Outputs |
|---|
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64))) w0) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)) w0) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) |
(/ (* (pow M 2) (* h w0)) (* d l)) |
(*.f64 (/.f64 (*.f64 h w0) d) (/.f64 (*.f64 M M) l)) |
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
(*.f64 (neg.f64 w0) (-.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))) #s(literal 1 binary64))) |
w0 |
(+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l)) w0) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (* (pow h 2) w0))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 h h) w0) (*.f64 M M)) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 D D) h) d) (/.f64 w0 d)))) (*.f64 M M) w0) |
(+ w0 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (* (pow h 2) w0)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (* (pow h 3) w0))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 D D) h) w0) l) (*.f64 (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) w0) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 h h) w0) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (*.f64 M M))) (*.f64 M M) w0) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* -1/128 (/ (* (pow D 4) (* (pow M 2) (pow h 2))) (* (pow d 4) (pow l 2))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (*.f64 h M) (*.f64 h M)) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) l))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (* (pow M 2) (+ (* -1/128 (/ (* (pow D 4) (pow h 2)) (* (pow d 4) (pow l 2)))) (* -1/1024 (/ (* (pow D 6) (* (pow M 2) (pow h 3))) (* (pow d 6) (pow l 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) (*.f64 M M)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 h h) (pow.f64 D #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))))) (*.f64 M M) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) l))) (*.f64 M M) #s(literal 1 binary64)) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 D D)) d) (/.f64 (fma.f64 (/.f64 #s(literal -1/1024 binary64) l) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (pow.f64 h #s(literal 3 binary64))) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 h h)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/128 binary64))) (neg.f64 l))) l)) |
(/ (+ (* 1/2 (* (/ (* (pow d 2) w0) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l)))) d) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 d d) w0) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h)) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (* (pow d 2) w0) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 d d) w0)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d) |
(/ (+ (* (* D (* M (* w0 (sqrt -1/4)))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ w0 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ w0 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (* (pow d 2) w0) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 d d) w0)) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (*.f64 d d) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 w0 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D))) d) |
(/ (+ (* 1/2 (* (/ (pow d 2) (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (* D (* M (sqrt -1/4))) (sqrt (/ h l)))) d) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 d d) D)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* -1/8 (* (/ (pow d 2) (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h))))))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 d d)) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (+ (* (* D (* M (sqrt -1/4))) (sqrt (/ h l))) (* (pow d 2) (+ (* 1/2 (* (/ 1 (* D (* M (sqrt -1/4)))) (sqrt (/ l h)))) (* (pow d 2) (+ (* -1/8 (* (/ 1 (* (pow D 3) (* (pow M 3) (pow (sqrt -1/4) 3)))) (sqrt (/ (pow l 3) (pow h 3))))) (* 1/16 (* (/ (pow d 2) (* (pow D 5) (* (pow M 5) (pow (sqrt -1/4) 5)))) (sqrt (/ (pow l 5) (pow h 5)))))))))) d) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (/.f64 l h) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 d d)) (*.f64 (*.f64 (pow.f64 M #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))) (pow.f64 D #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 5 binary64)) (pow.f64 h #s(literal 5 binary64)))))) (*.f64 d d) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) (sqrt.f64 (/.f64 l h)))) (*.f64 d d) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) (sqrt.f64 (/.f64 h l)))) d) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/4 binary64) d) #s(literal 1 binary64)) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(fma.f64 (/.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) d) (/.f64 #s(literal -1/4 binary64) d) #s(literal 1 binary64)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l)) #s(literal -1/8 binary64) (*.f64 (*.f64 d d) w0)) (*.f64 d d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 591 |
| 0 | 110 | 609 |
| 1 | 356 | 573 |
| 2 | 2258 | 539 |
| 0 | 8280 | 535 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0) |
(*.f64 (*.f64 D D) #s(literal -1/8 binary64)) |
(*.f64 D D) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))))) |
#s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d))))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))) |
(*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d))) |
(*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) |
(*.f64 M (/.f64 D l)) |
(*.f64 (/.f64 D d) (/.f64 M d)) |
(*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) |
(*.f64 (*.f64 M M) h) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) |
(*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) |
(/.f64 (*.f64 D D) d) |
| Outputs |
|---|
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))) |
(*.f64 (neg.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
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(*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h M) w0) l)) |
(*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 M M) w0) d)) |
(*.f64 h (*.f64 (*.f64 M M) (/.f64 (/.f64 w0 l) d))) |
(*.f64 M (*.f64 (*.f64 h M) (/.f64 (/.f64 w0 l) d))) |
(*.f64 w0 (*.f64 (/.f64 M l) (/.f64 (*.f64 h M) d))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l)) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (/.f64 w0 l))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 l))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) w0)) (neg.f64 l)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) d)))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)))) (neg.f64 (neg.f64 (*.f64 (neg.f64 l) d)))) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l) d) |
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (/.f64 w0 l)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 l)) d) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) w0) l) |
(/.f64 (neg.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) d))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h))) (neg.f64 (*.f64 (neg.f64 l) d))) |
(/.f64 (*.f64 w0 (/.f64 (*.f64 (*.f64 M M) h) d)) l) |
(/.f64 (*.f64 (neg.f64 w0) (*.f64 (*.f64 M M) h)) (*.f64 (neg.f64 l) d)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 l d)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 w0) d) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (neg.f64 D)) (neg.f64 D)) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 h l)) |
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) D) |
(*.f64 (neg.f64 D) (*.f64 (neg.f64 D) (/.f64 (*.f64 (*.f64 M M) h) l))) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 D D)) |
(*.f64 (*.f64 M M) (*.f64 (/.f64 h l) (*.f64 D D))) |
(*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) |
(*.f64 D (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 (*.f64 D D) (*.f64 (neg.f64 h) (*.f64 M M)))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 D D))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 D D) (*.f64 (neg.f64 h) (*.f64 M M))) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 D D)) (neg.f64 l)) |
(/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) l) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 D)) (neg.f64 (neg.f64 d))) (/.f64 D (neg.f64 d))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 D)) (neg.f64 d)) (/.f64 D d)) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 D)) d) (/.f64 (neg.f64 D) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (neg.f64 (neg.f64 d))) (/.f64 D (neg.f64 (neg.f64 d)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) (neg.f64 d)) (/.f64 D (neg.f64 d))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) D) d) (/.f64 D d)) |
(*.f64 (/.f64 (*.f64 (*.f64 D D) h) (neg.f64 (neg.f64 d))) (/.f64 (*.f64 M M) (neg.f64 (neg.f64 d)))) |
(*.f64 (/.f64 (*.f64 (*.f64 D D) h) (neg.f64 d)) (/.f64 (*.f64 M M) (neg.f64 d))) |
(*.f64 (/.f64 (*.f64 (*.f64 D D) h) d) (/.f64 (*.f64 M M) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 D D) M) (neg.f64 (neg.f64 d))) (/.f64 (*.f64 h M) (neg.f64 (neg.f64 d)))) |
(*.f64 (/.f64 (*.f64 (*.f64 D D) M) (neg.f64 d)) (/.f64 (*.f64 h M) (neg.f64 d))) |
(*.f64 (/.f64 (*.f64 (*.f64 D D) M) d) (/.f64 (*.f64 h M) d)) |
(*.f64 (/.f64 (*.f64 M M) (neg.f64 (neg.f64 d))) (/.f64 (*.f64 h (*.f64 D D)) (neg.f64 (neg.f64 d)))) |
(*.f64 (/.f64 (*.f64 M M) (neg.f64 d)) (/.f64 (*.f64 h (*.f64 D D)) (neg.f64 d))) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) (neg.f64 (neg.f64 d))) (*.f64 (/.f64 D d) D)) |
(*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (neg.f64 (neg.f64 d))) (/.f64 h (neg.f64 (neg.f64 d)))) |
(*.f64 (/.f64 h (neg.f64 (neg.f64 d))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (neg.f64 (neg.f64 d)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (neg.f64 d)) (/.f64 h (neg.f64 d))) |
(*.f64 (/.f64 h (neg.f64 d)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (neg.f64 d))) |
(*.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (/.f64 h d)) |
(*.f64 (/.f64 D (neg.f64 (neg.f64 d))) (/.f64 (*.f64 D (*.f64 (*.f64 M M) h)) (neg.f64 (neg.f64 d)))) |
(*.f64 (/.f64 M (neg.f64 (neg.f64 d))) (/.f64 (*.f64 (*.f64 h M) (*.f64 D D)) (neg.f64 (neg.f64 d)))) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) D) (*.f64 M M)) (/.f64 h d)) |
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) D) (/.f64 D d)) |
(*.f64 (/.f64 (neg.f64 D) d) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M M) h)) d)) |
(*.f64 (/.f64 (*.f64 (neg.f64 h) (*.f64 M M)) d) (/.f64 (*.f64 (neg.f64 D) D) d)) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 h (*.f64 D D)) d)) |
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M M) h)) (neg.f64 (neg.f64 d)))) |
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 (*.f64 D (*.f64 (*.f64 M M) h)) (neg.f64 d))) |
(*.f64 (/.f64 (*.f64 (neg.f64 D) D) d) (/.f64 (*.f64 (neg.f64 h) (*.f64 M M)) d)) |
(*.f64 (/.f64 (*.f64 (neg.f64 D) D) d) (/.f64 (*.f64 (*.f64 M M) h) (neg.f64 d))) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) (neg.f64 d)) (/.f64 (*.f64 (neg.f64 D) D) d)) |
(*.f64 (/.f64 h d) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) |
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 (*.f64 (*.f64 h M) (*.f64 D D)) (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 (*.f64 M M) h) (neg.f64 (neg.f64 d)))) |
(*.f64 (*.f64 (/.f64 D d) D) (/.f64 (*.f64 (*.f64 M M) h) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (/.f64 D d) D)) |
(*.f64 (*.f64 (*.f64 M M) h) (/.f64 (*.f64 (/.f64 D d) D) d)) |
(*.f64 (*.f64 (*.f64 M M) h) (pow.f64 (/.f64 D d) #s(literal 2 binary64))) |
(*.f64 (*.f64 M M) (*.f64 (/.f64 h d) (*.f64 (/.f64 D d) D))) |
(*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h M) (*.f64 D D)) d)) |
(*.f64 (/.f64 D d) (/.f64 (*.f64 (neg.f64 D) (*.f64 (*.f64 M M) h)) (neg.f64 d))) |
(*.f64 (/.f64 D d) (/.f64 (*.f64 D (*.f64 (*.f64 M M) h)) d)) |
(*.f64 D (*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) h) d))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (neg.f64 d))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 D) D) (/.f64 (*.f64 (*.f64 M M) h) d))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (/.f64 D d) D))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 D d) D) (*.f64 (neg.f64 h) (*.f64 M M)))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (neg.f64 D) D))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h))) (*.f64 d d)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) d))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 (neg.f64 h) (*.f64 M M)))) (*.f64 (neg.f64 d) d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 (*.f64 M M) h))) (*.f64 d d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 D D) (*.f64 (neg.f64 h) (*.f64 M M)))) (*.f64 d d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (neg.f64 D) D))) (*.f64 (neg.f64 d) d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 D D))) (*.f64 d d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (neg.f64 D) D))) (*.f64 d d)) |
(/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (neg.f64 d)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) D) (/.f64 (*.f64 (*.f64 M M) h) d)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (/.f64 D d) D)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) D) (*.f64 (neg.f64 h) (*.f64 M M))) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (neg.f64 D) D)) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) (*.f64 (neg.f64 d) d)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) d)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 (neg.f64 h) (*.f64 M M))) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 (*.f64 M M) h)) (*.f64 (neg.f64 d) d)) |
(/.f64 (*.f64 (*.f64 D D) (*.f64 (neg.f64 h) (*.f64 M M))) (*.f64 (neg.f64 d) d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 (neg.f64 D) D)) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 h) (*.f64 M M)) (*.f64 D D)) (*.f64 (neg.f64 d) d)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (neg.f64 D) D)) (*.f64 (neg.f64 d) d)) |
(/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) (*.f64 d d)) |
(/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h) d) d) |
(*.f64 (neg.f64 D) (/.f64 (neg.f64 D) d)) |
(*.f64 (/.f64 D d) D) |
(*.f64 D (/.f64 D d)) |
(/.f64 (*.f64 (neg.f64 D) D) (neg.f64 (neg.f64 (neg.f64 d)))) |
(/.f64 (*.f64 (neg.f64 D) D) (neg.f64 d)) |
(/.f64 (*.f64 D D) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 D D) d) |
(neg.f64 (/.f64 (*.f64 (neg.f64 D) D) d)) |
(fabs.f64 (/.f64 (*.f64 (neg.f64 D) D) d)) |
(fabs.f64 (*.f64 (/.f64 D d) D)) |
Compiled 38 318 to 4 136 computations (89.2% saved)
35 alts after pruning (32 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 775 | 22 | 797 |
| Fresh | 15 | 10 | 25 |
| Picked | 5 | 0 | 5 |
| Done | 1 | 3 | 4 |
| Total | 796 | 35 | 831 |
| Status | Accuracy | Program |
|---|---|---|
| 73.5% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d))))) | |
| 74.9% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) | |
| 88.2% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 M d) D) (/.f64 M d))) (/.f64 D l) #s(literal 1 binary64))))) | |
| 85.3% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 D M)) (*.f64 l d)) #s(literal 1 binary64))))) | |
| ✓ | 74.0% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
| 76.5% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) | |
| ✓ | 56.6% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))))) |
| 86.1% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64))))) | |
| 75.9% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d l) d)))) #s(literal 1 binary64))))) | |
| 60.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal 1/4 binary64))) (*.f64 d d))) l)))) | |
| 19.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h M) (*.f64 D D)) d)))))) | |
| 18.9% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) D) d) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) d))))) | |
| 14.6% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 h M) M) l)))))) | |
| 15.1% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D))))) | |
| 13.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) D) (*.f64 M M)) (/.f64 h l))))) | |
| 15.8% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 D (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (/.f64 #s(literal -1/4 binary64) (*.f64 d d))))))) | |
| ✓ | 70.5% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 70.1% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) w0)) | |
| 77.5% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d) (/.f64 w0 d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) | |
| 55.3% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) | |
| 65.4% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 w0 M) d) (/.f64 (*.f64 h M) l)) d) w0)) | |
| 59.5% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0)) | |
| 62.0% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0)) | |
| 52.3% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h w0) (*.f64 d d)) (/.f64 (*.f64 M M) l)) w0)) | |
| 65.0% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 h M) w0) d)) w0)) | |
| 59.1% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 h M) w0) l)) w0)) | |
| 58.3% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) M) (*.f64 h M)) w0)) | |
| 57.3% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 h M) M) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) | |
| 58.0% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) | |
| 64.0% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) | |
| 56.8% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) | |
| 72.8% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))) w0)) | |
| 70.4% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) | |
| 12.4% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))))) | |
| 63.9% | #s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0)) |
Compiled 4 276 to 1 514 computations (64.6% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 h M) M) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) M) (*.f64 h M)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 h d)) M) (/.f64 w0 (*.f64 d l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 h M) w0) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 h M) w0) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h w0) (*.f64 d d)) (/.f64 (*.f64 M M) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 M M) h)) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) #s(approx (/ (* (* (* M M) D) D) (* (* d d) l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d l) d)))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 (/.f64 w0 d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 w0 M) d) (/.f64 (*.f64 h M) l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d) (/.f64 w0 d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 D (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (/.f64 #s(literal -1/4 binary64) (*.f64 d d))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) D) (*.f64 M M)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 h M) M) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 d l)) (*.f64 (*.f64 (/.f64 M d) M) D)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d l)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D l)) (*.f64 d d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) D) (*.f64 d l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 D M)) (*.f64 l d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) (*.f64 D D)) (*.f64 d l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 d d)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal 1/4 binary64))) (*.f64 d d))) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) D) d) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) d))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h M) (*.f64 D D)) d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 M d) D) (/.f64 M d))) (/.f64 D l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M))) (/.f64 D l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (*.f64 (*.f64 (/.f64 D l) h) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) d) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) l) l))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) M) (/.f64 M d)) h) d)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h D) M) (*.f64 l (*.f64 d #s(literal 2 binary64))))))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) w0)) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h D) M) (*.f64 l (*.f64 d #s(literal 2 binary64))))))))) |
15 calls:
| 190.0ms | h |
| 168.0ms | w0 |
| 151.0ms | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 27.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 20.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 3 | (/.f64 h l) |
| 91.0% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 91.4% | 3 | (*.f64 M D) |
| 90.2% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 90.2% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 91.0% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 92.2% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 92.2% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 92.2% | 2 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 90.6% | 2 | w0 |
| 88.2% | 1 | M |
| 88.2% | 1 | D |
| 92.1% | 3 | h |
| 91.7% | 3 | l |
| 91.0% | 2 | d |
Compiled 93 to 140 computations (-50.5% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 h M) M) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) M) (*.f64 h M)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 h d)) M) (/.f64 w0 (*.f64 d l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 h M) w0) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 h M) w0) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h w0) (*.f64 d d)) (/.f64 (*.f64 M M) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 M M) h)) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) #s(approx (/ (* (* (* M M) D) D) (* (* d d) l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d l) d)))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 (/.f64 w0 d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 w0 M) d) (/.f64 (*.f64 h M) l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d) (/.f64 w0 d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 D (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (/.f64 #s(literal -1/4 binary64) (*.f64 d d))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) D) (*.f64 M M)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 h M) M) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 d l)) (*.f64 (*.f64 (/.f64 M d) M) D)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d l)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D l)) (*.f64 d d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) D) (*.f64 d l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 D M)) (*.f64 l d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) (*.f64 D D)) (*.f64 d l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 d d)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal 1/4 binary64))) (*.f64 d d))) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) D) d) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) d))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h M) (*.f64 D D)) d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 M d) D) (/.f64 M d))) (/.f64 D l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M))) (/.f64 D l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (*.f64 (*.f64 (/.f64 D l) h) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) d) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) l) l))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) M) (/.f64 M d)) h) d)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h D) M) (*.f64 l (*.f64 d #s(literal 2 binary64))))))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) w0)) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) d))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h D) M) (*.f64 l (*.f64 d #s(literal 2 binary64))))))))) |
3 calls:
| 19.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 17.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 14.0ms | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.1% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 91.5% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 91.5% | 2 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
Compiled 49 to 48 computations (2% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 h M) M) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) M) (*.f64 h M)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 h d)) M) (/.f64 w0 (*.f64 d l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 h M) w0) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 h M) w0) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h w0) (*.f64 d d)) (/.f64 (*.f64 M M) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 M M) h)) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) #s(approx (/ (* (* (* M M) D) D) (* (* d d) l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d l) d)))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 (/.f64 w0 d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 w0 M) d) (/.f64 (*.f64 h M) l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d) (/.f64 w0 d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 D (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (/.f64 #s(literal -1/4 binary64) (*.f64 d d))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) D) (*.f64 M M)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 h M) M) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 d l)) (*.f64 (*.f64 (/.f64 M d) M) D)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d l)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D l)) (*.f64 d d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) D) (*.f64 d l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 D M)) (*.f64 l d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) (*.f64 D D)) (*.f64 d l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 d d)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal 1/4 binary64))) (*.f64 d d))) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) D) d) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) d))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h M) (*.f64 D D)) d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 M d) D) (/.f64 M d))) (/.f64 D l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M))) (/.f64 D l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (*.f64 (*.f64 (/.f64 D l) h) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) d) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) l) l))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 D D) #s(literal 1/4 binary64)) M) (/.f64 M d)) h) d)) l)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h D) M) (*.f64 l (*.f64 d #s(literal 2 binary64))))))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64))) (*.f64 (neg.f64 M) D)) (*.f64 #s(literal -2 binary64) d))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 (/.f64 D d) #s(literal 2 binary64)) (/.f64 h l)))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (*.f64 (*.f64 (/.f64 h l) D) (/.f64 (/.f64 M d) #s(literal 2 binary64)))))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) M))) (/.f64 (/.f64 D d) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) h)) w0)) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) h) (*.f64 (*.f64 #s(literal -2 binary64) d) l))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 M d) D) (/.f64 M d))) (/.f64 D l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l)))) |
6 calls:
| 30.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 18.0ms | (*.f64 #s(literal 2 binary64) d) |
| 17.0ms | d |
| 16.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 15.0ms | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.0% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 91.0% | 2 | d |
| 90.1% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 90.4% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 90.4% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 90.7% | 2 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
Compiled 66 to 75 computations (-13.6% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 h M) M) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) M) (*.f64 h M)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 h d)) M) (/.f64 w0 (*.f64 d l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 h M) w0) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 h M) w0) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h w0) (*.f64 d d)) (/.f64 (*.f64 M M) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 M M) h)) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) #s(approx (/ (* (* (* M M) D) D) (* (* d d) l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d l) d)))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 (/.f64 w0 d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 w0 M) d) (/.f64 (*.f64 h M) l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d) (/.f64 w0 d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 D (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (/.f64 #s(literal -1/4 binary64) (*.f64 d d))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) D) (*.f64 M M)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 h M) M) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 d l)) (*.f64 (*.f64 (/.f64 M d) M) D)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d l)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D l)) (*.f64 d d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) D) (*.f64 d l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 D M)) (*.f64 l d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) (*.f64 D D)) (*.f64 d l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 d d)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal 1/4 binary64))) (*.f64 d d))) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) D) d) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) d))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h M) (*.f64 D D)) d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 M d) D) (/.f64 M d))) (/.f64 D l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M))) (/.f64 D l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (*.f64 (/.f64 M d) M)) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) l) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (*.f64 (*.f64 (/.f64 D l) h) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) M) D) d) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) l) l))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 h d)))) l)))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 M d) D) (/.f64 M d))) (/.f64 D l) #s(literal 1 binary64))))) |
8 calls:
| 17.0ms | d |
| 16.0ms | h |
| 16.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 15.0ms | w0 |
| 15.0ms | (*.f64 #s(literal 2 binary64) d) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.4% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 90.4% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 89.9% | 2 | (/.f64 h l) |
| 88.2% | 1 | h |
| 90.2% | 2 | w0 |
| 88.2% | 1 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 89.9% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 89.9% | 2 | d |
Compiled 58 to 81 computations (-39.7% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 h M) M) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) M) (*.f64 h M)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 h d)) M) (/.f64 w0 (*.f64 d l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 h M) w0) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 h M) w0) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h w0) (*.f64 d d)) (/.f64 (*.f64 M M) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 M M) h)) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) #s(approx (/ (* (* (* M M) D) D) (* (* d d) l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d l) d)))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 (/.f64 w0 d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 w0 M) d) (/.f64 (*.f64 h M) l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d) (/.f64 w0 d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 D (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (/.f64 #s(literal -1/4 binary64) (*.f64 d d))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) D) (*.f64 M M)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 h M) M) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 d l)) (*.f64 (*.f64 (/.f64 M d) M) D)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d l)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D l)) (*.f64 d d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) D) (*.f64 d l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 D M)) (*.f64 l d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) (*.f64 D D)) (*.f64 d l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 d d)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal 1/4 binary64))) (*.f64 d d))) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) D) d) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) d))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h M) (*.f64 D D)) d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64))) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))) |
15 calls:
| 41.0ms | (*.f64 #s(literal 2 binary64) d) |
| 39.0ms | w0 |
| 23.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 19.0ms | (/.f64 h l) |
| 14.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 1 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 88.0% | 2 | D |
| 86.1% | 1 | h |
| 88.4% | 2 | M |
| 86.1% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 86.1% | 1 | d |
| 90.4% | 3 | (*.f64 M D) |
| 86.1% | 1 | (/.f64 h l) |
| 88.4% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 86.1% | 1 | l |
| 86.1% | 1 | w0 |
| 88.4% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 87.6% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 88.3% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 88.3% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
Compiled 93 to 140 computations (-50.5% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 h M) M) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) M) (*.f64 h M)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 h d)) M) (/.f64 w0 (*.f64 d l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 h M) w0) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 h M) w0) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h w0) (*.f64 d d)) (/.f64 (*.f64 M M) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 M M) h)) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) #s(approx (/ (* (* (* M M) D) D) (* (* d d) l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d l) d)))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 (/.f64 w0 d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 w0 M) d) (/.f64 (*.f64 h M) l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d) (/.f64 w0 d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 D (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (/.f64 #s(literal -1/4 binary64) (*.f64 d d))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) D) (*.f64 M M)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 h M) M) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 d l)) (*.f64 (*.f64 (/.f64 M d) M) D)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 M M) (*.f64 d l)) (/.f64 (*.f64 D D) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D l)) (*.f64 d d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) D) (*.f64 d l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) D) (*.f64 D M)) (*.f64 l d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) M) (*.f64 D D)) (*.f64 d l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) D) (*.f64 d d)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D D)) (/.f64 (*.f64 (*.f64 M M) h) l)) (*.f64 d d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (/.f64 (*.f64 (*.f64 (*.f64 M M) h) (*.f64 (*.f64 D D) #s(literal 1/4 binary64))) (*.f64 d d))) l)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) D) d) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) d))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h M) (*.f64 D D)) d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (/.f64 #s(literal -1/4 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 #s(approx (- l (* (* 1/4 (* D D)) (* (/ (* M M) d) (/ h d)))) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) (/.f64 (*.f64 (*.f64 M M) h) d)) #s(literal -1/4 binary64))) l)))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
4 calls:
| 27.0ms | M |
| 13.0ms | (*.f64 M D) |
| 12.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 11.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 86.1% | 1 | M |
| 86.1% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 86.1% | 1 | (*.f64 M D) |
Compiled 24 to 36 computations (-50% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 h M) M) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) M) (*.f64 h M)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 h d)) M) (/.f64 w0 (*.f64 d l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 h M) w0) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 h M) w0) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h w0) (*.f64 d d)) (/.f64 (*.f64 M M) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 M M) h)) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) #s(approx (/ (* (* (* M M) D) D) (* (* d d) l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d l) d)))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 (/.f64 w0 d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 w0 M) d) (/.f64 (*.f64 h M) l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d) (/.f64 w0 d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 D (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (/.f64 #s(literal -1/4 binary64) (*.f64 d d))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) D) (*.f64 M M)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 h M) M) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 D (*.f64 d l)) (*.f64 (*.f64 (/.f64 M d) M) D)) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
15 calls:
| 17.0ms | h |
| 12.0ms | D |
| 11.0ms | w0 |
| 10.0ms | (*.f64 M D) |
| 10.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 1 | (/.f64 h l) |
| 84.3% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 82.7% | 1 | w0 |
| 82.7% | 1 | l |
| 82.7% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 86.1% | 3 | (*.f64 M D) |
| 82.7% | 1 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 84.4% | 2 | M |
| 82.7% | 1 | h |
| 82.7% | 1 | d |
| 84.3% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 82.7% | 1 | D |
| 85.3% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 85.3% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 85.7% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 93 to 140 computations (-50.5% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 h M) M) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) M) (*.f64 h M)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 h d)) M) (/.f64 w0 (*.f64 d l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 h M) w0) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 h M) w0) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h w0) (*.f64 d d)) (/.f64 (*.f64 M M) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 M M) h)) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) #s(approx (/ (* (* (* M M) D) D) (* (* d d) l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d l) d)))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 M D) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 D M) (*.f64 D M)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
#s(approx (* w0 (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 (/.f64 w0 d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 w0 M) d) (/.f64 (*.f64 h M) l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) d) (/.f64 w0 d)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 D (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D) (/.f64 #s(literal -1/4 binary64) (*.f64 d d))))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) D) (*.f64 M M)) (/.f64 h l))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2))))) (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 h M) M) l)))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d l) d)))) #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
5 calls:
| 11.0ms | (*.f64 M D) |
| 9.0ms | M |
| 8.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 7.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 7.0ms | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 2 | M |
| 84.6% | 3 | (*.f64 M D) |
| 83.4% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 83.0% | 2 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 84.4% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 48 to 57 computations (-18.8% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 h M) M) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) M) (*.f64 h M)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 h d)) M) (/.f64 w0 (*.f64 d l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 h M) w0) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 h M) w0) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h w0) (*.f64 d d)) (/.f64 (*.f64 M M) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 M M) h)) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) #s(approx (/ (* (* (* M M) D) D) (* (* d d) l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) #s(approx (/ (* (* (* M M) D) D) (* (* d d) l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
13 calls:
| 12.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 12.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 10.0ms | (*.f64 #s(literal 2 binary64) d) |
| 10.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 6.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 3 | (*.f64 M D) |
| 81.8% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 78.0% | 2 | w0 |
| 74.1% | 1 | l |
| 82.1% | 3 | (*.f64 #s(literal 2 binary64) d) |
| 79.4% | 2 | D |
| 82.1% | 3 | d |
| 80.4% | 2 | (/.f64 h l) |
| 81.5% | 3 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 78.0% | 3 | h |
| 79.1% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 79.1% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 83.1% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 76 to 118 computations (-55.3% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 h M) M) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) M) (*.f64 h M)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 h d)) M) (/.f64 w0 (*.f64 d l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 h M) w0) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 h M) w0) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 h w0) (*.f64 d d)) (/.f64 (*.f64 M M) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) (*.f64 d l)) (/.f64 w0 d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 (*.f64 M M) h)) l) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 d l)) d) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (*.f64 (/.f64 w0 (*.f64 d d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (/ D 2) (* (/ M d) (* (* (/ h l) D) (/ (/ M d) 2)))))) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 h M) w0) d)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
3 calls:
| 15.0ms | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 5.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 5.0ms | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 81.4% | 3 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 81.4% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 44 to 44 computations (0% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 h M) M) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) M) (*.f64 h M)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 h d)) M) (/.f64 w0 (*.f64 d l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 d d)) (/.f64 (*.f64 (*.f64 h M) w0) l)) w0)) |
| Outputs |
|---|
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 h d)) M) (/.f64 w0 (*.f64 d l))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
1 calls:
| 3.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.4% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 13 to 13 computations (0% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 h M) M) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) M) (*.f64 h M)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d l) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 l d) d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 M M) h) (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (*.f64 d d))) (/.f64 (*.f64 (*.f64 M M) h) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 D (*.f64 D (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) l))) w0)) |
| Outputs |
|---|
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) M) (*.f64 h M)) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
2 calls:
| 14.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 5.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 2 | (*.f64 M D) |
| 80.9% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 16 to 20 computations (-25% saved)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 h M) M) (/.f64 w0 (*.f64 (*.f64 d l) d))) w0)) |
| Outputs |
|---|
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
1 calls:
| 1.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.9% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 13 to 13 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
15 calls:
| 10.0ms | w0 |
| 1.0ms | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 1.0ms | h |
| 1.0ms | (*.f64 #s(literal 2 binary64) d) |
| 1.0ms | D |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.5% | 1 | l |
| 70.5% | 1 | h |
| 70.5% | 1 | w0 |
| 70.5% | 1 | (*.f64 M D) |
| 70.5% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 70.5% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 70.5% | 1 | D |
| 70.5% | 1 | (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) |
| 70.5% | 1 | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) |
| 70.5% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))) |
| 70.5% | 1 | (/.f64 h l) |
| 70.5% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 70.5% | 1 | d |
| 70.5% | 1 | M |
| 70.5% | 1 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 93 to 140 computations (-50.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.869068989913755e+186 | 3.863808125005079e+192 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.869068989913755e+186 | 3.863808125005079e+192 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.5879293340463147e+92 | 1.1015728516247924e+93 |
| 9.0ms | 96× | 0 | valid |
| 0.0ms | 1× | 0 | invalid |
Compiled 471 to 368 computations (21.9% saved)
ival-mult: 2.0ms (33.6% of total)ival-div: 1.0ms (16.8% of total)ival-sqrt: 1.0ms (16.8% of total)ival-pow2: 1.0ms (16.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0000000008890304 |
Compiled 21 to 26 computations (-23.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9339373036242828e+225 | 5.238094217681579e+230 |
| 0.0ms | 3.865158476679208e-204 | 3.8198793430071835e-199 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.7780611300897758e-9 | -8.02186372191913e-33 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.7780611300897758e-9 | -8.02186372191913e-33 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -559.5170674169718 | -4.3312313722027476e-8 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -559.5170674169718 | -4.3312313722027476e-8 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.98634938195529e+125 | -1.8819215837183634e+103 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.22098289398181e+153 | -4.98634938195529e+125 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.22098289398181e+153 | -4.98634938195529e+125 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.3312313722027476e-8 | -1.7780611300897758e-9 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 994 |
| 1 | 244 | 994 |
| 2 | 496 | 994 |
| 3 | 2638 | 994 |
| 4 | 6820 | 994 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #s(literal 9999999999999999071569656121801212080692814968920789464627446869617922299624001453201875281811380250249693879805812353226907091680705581859236698853640605134247712274342131878495422251008 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h D) M) (*.f64 l (*.f64 d #s(literal 2 binary64)))))))))) |
(if (<=.f64 (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #s(literal 9999999999999999071569656121801212080692814968920789464627446869617922299624001453201875281811380250249693879805812353226907091680705581859236698853640605134247712274342131878495422251008 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h D) M) (*.f64 l (*.f64 d #s(literal 2 binary64)))))))))) |
(if (<=.f64 d #s(literal 359999999999999992457409063399667901670308595245116581591041631032889244748768398356250624000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 M d) D) (/.f64 M d))) (/.f64 D l) #s(literal 1 binary64))))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l))))) |
(if (<=.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #s(literal 1 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 M d) D) (/.f64 M d))) (/.f64 D l) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 M D) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))) (if (<=.f64 (*.f64 M D) #s(literal 4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64))))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4835703278458517/4835703278458516698824704 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4835703278458517/4835703278458516698824704 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d l) d)))) #s(literal 1 binary64))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) #s(approx (/ (* (* (* M M) D) D) (* (* d d) l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 h M) w0) d)) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 h d)) M) (/.f64 w0 (*.f64 d l))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) M) (*.f64 h M)) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3022314549036573/75557863725914323419136 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #s(literal 9999999999999999071569656121801212080692814968920789464627446869617922299624001453201875281811380250249693879805812353226907091680705581859236698853640605134247712274342131878495422251008 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 h l))))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h D) M) (*.f64 l (*.f64 d #s(literal 2 binary64)))))))))) |
(if (<=.f64 (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) #s(literal 9999999999999999071569656121801212080692814968920789464627446869617922299624001453201875281811380250249693879805812353226907091680705581859236698853640605134247712274342131878495422251008 binary64)) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l))))) (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (*.f64 (/.f64 M d) (/.f64 (*.f64 (*.f64 h D) M) (*.f64 l (*.f64 d #s(literal 2 binary64)))))))))) |
(if (<=.f64 d #s(literal 359999999999999992457409063399667901670308595245116581591041631032889244748768398356250624000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 M d) D) (/.f64 M d))) (/.f64 D l) #s(literal 1 binary64))))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (/.f64 (-.f64 l (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h d) M) (/.f64 M d)) (*.f64 #s(literal 1/4 binary64) D)) D)) l))))) |
(if (<=.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)))) #s(literal 1 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 M d) D) (/.f64 M d))) (/.f64 D l) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 M D) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))) (if (<=.f64 (*.f64 M D) #s(literal 4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64))))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))))) |
(if (or (<=.f64 (*.f64 M D) #s(literal 441252181048159/88250436209631796779659651318894620729729809745361797646356310339459182198787453122058560031100937405340558296821374893066353027058699717113329784015217065825962377858834878767894752265396985241367417483713579073929216 binary64)) (not (<=.f64 (*.f64 M D) #s(literal 4999999999999999806650364166569307079328006902236455361130094053449438966813366112409962773319310362938839305792582281514490199870276609421048348021393177515819351843764207529142392373556426924143927678468362216346247556497408 binary64)))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) (/.f64 M d)) (*.f64 M (/.f64 D l))) #s(literal 1 binary64))))) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64)))))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4835703278458517/4835703278458516698824704 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D M) (*.f64 l d)) (*.f64 (/.f64 M d) D)) #s(literal 1 binary64))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -4835703278458517/4835703278458516698824704 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d l) d)))) #s(literal 1 binary64))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -500 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 h #s(literal -1/4 binary64)) #s(approx (/ (* (* (* M M) D) D) (* (* d d) l)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l))) #s(literal 1 binary64))))) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -399999999999999969947104647597152817017868347933935384575690388890117679990317210641265397505127061500612023365462212913135616 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 M (*.f64 l d)) (/.f64 (*.f64 (*.f64 h M) w0) d)) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 h d)) M) (/.f64 w0 (*.f64 d l))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3999999999999999998933612016492614979422156076473746745143360752097478718089695046691679038258268633774677515296114840081570376376516120880532063439028224 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) M) (*.f64 h M)) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -3022314549036573/75557863725914323419136 binary64)) #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 l d) d)) h))) w0)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)))) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 69 |
| 0 | 26 | 69 |
| 1 | 75 | 69 |
| 2 | 410 | 69 |
| 3 | 7218 | 69 |
| 0 | 8457 | 66 |
| 0 | 62 | 546 |
| 0 | 104 | 546 |
| 1 | 326 | 488 |
| 2 | 2358 | 488 |
| 0 | 8101 | 484 |
| 0 | 69 | 591 |
| 0 | 110 | 609 |
| 1 | 356 | 573 |
| 2 | 2258 | 539 |
| 0 | 8280 | 535 |
| 0 | 678 | 4773 |
| 1 | 2552 | 4699 |
| 0 | 8454 | 4541 |
| 0 | 69 | 682 |
| 0 | 117 | 682 |
| 1 | 367 | 648 |
| 2 | 2496 | 620 |
| 0 | 8331 | 620 |
| 0 | 626 | 4390 |
| 1 | 2407 | 4334 |
| 0 | 9499 | 4188 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 994 to 180 computations (81.9% saved)
(abs d)
Compiled 3 158 to 1 096 computations (65.3% saved)
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