
Time bar (total: 11.3s)
| 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 |
| 396.0ms | 2 705× | 0 | invalid |
ival-mult: 328.0ms (39.9% of total)ival-div: 182.0ms (22.1% of total)ival-pow2: 140.0ms (17% of total)ival-sqrt: 75.0ms (9.1% of total)ival-sub: 72.0ms (8.8% of total)exact: 12.0ms (1.5% of total)ival-true: 9.0ms (1.1% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 50 | 0 | - | 2 | (3.9212485778343425e-295 -1.6827538930663118e+108 2.1181578977784685e-180 1.6307973764156305e+152 5.4127188265400185e+100 4.764348980460584e+87) | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 24 | 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)))) |
| 17 | 0 | - | 0 | - | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 9 | 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 | 24 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 61 | |
| ↳ | (-.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 | 57 | |
| ↳ | (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 | 33 | |
| ↳ | (*.f64 M D) | overflow | 19 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 28 | |
| ↳ | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | overflow | 57 | |
| ↳ | (/.f64 h l) | overflow | 30 | |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | n*o | 13 | 0 |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | o/n | 9 | 0 |
| ↳ | (*.f64 M D) | overflow | 19 | |
*.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 | 9 | 0 |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | o*u | 4 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 61 | |
| ↳ | (*.f64 M D) | overflow | 19 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 28 | |
| ↳ | (/.f64 h l) | underflow | 29 | |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | u/n | 3 | 0 |
| ↳ | (*.f64 M D) | underflow | 34 | |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | u*o | 2 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | underflow | 101 | |
| ↳ | (*.f64 M D) | underflow | 34 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | underflow | 54 | |
| ↳ | (/.f64 h l) | overflow | 30 | |
*.f64 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) | n*u | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 50 | 14 |
| - | 7 | 185 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 50 | 0 | 14 |
| - | 7 | 0 | 185 |
| number | freq |
|---|---|
| 0 | 199 |
| 1 | 49 |
| 2 | 8 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 77.0ms | 512× | 0 | valid |
Compiled 307 to 72 computations (76.5% saved)
ival-sub: 20.0ms (38% of total)ival-mult: 14.0ms (26.6% of total)ival-div: 8.0ms (15.2% of total)ival-pow2: 5.0ms (9.5% of total)ival-sqrt: 3.0ms (5.7% of total)ival-true: 1.0ms (1.9% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 167 | 501 |
| 1 | 520 | 492 |
| 2 | 1570 | 492 |
| 3 | 4470 | 492 |
| 0 | 17 | 18 |
| 0 | 26 | 18 |
| 1 | 47 | 18 |
| 2 | 115 | 18 |
| 3 | 826 | 18 |
| 4 | 4554 | 18 |
| 5 | 7872 | 18 |
| 0 | 8032 | 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 |
|---|---|---|
| ▶ | 75.9% | (*.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 | 115 | 95 |
| 3 | 826 | 95 |
| 4 | 4554 | 95 |
| 5 | 7872 | 95 |
| 0 | 8032 | 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 | 2.1727602420722185 | (*.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 | 3.9543462905695006 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | |
| accuracy | 5.648950588194421 | (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 | 11.664786768274592 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 41.0ms | 256× | 0 | valid |
Compiled 192 to 36 computations (81.3% saved)
ival-mult: 6.0ms (39.5% of total)ival-div: 3.0ms (19.7% of total)ival-sqrt: 2.0ms (13.2% of total)ival-pow2: 2.0ms (13.2% of total)ival-sub: 1.0ms (6.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 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 | |
|---|---|---|---|---|
| 17.0ms | 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 | @ | 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))) (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)) (/ (* M D) (* 2 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))) (* (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))) |
| 4.0ms | 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))) (* (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 | 4478 |
| 1 | 2185 | 4460 |
| 0 | 8508 | 4319 |
| 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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) 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 -1/128 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 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D D) h)) w0) (*.f64 (*.f64 d d) l))) (*.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 -1/128 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 (*.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 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 -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 h (pow.f64 d #s(literal 4 binary64))) (/.f64 h (*.f64 l l))) (*.f64 (*.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 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 h #s(literal -1/4 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) 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 #s(literal 1/2 binary64) (/.f64 (*.f64 d w0) D)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) 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)))))) |
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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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(* -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 (* (/ (* D (* M (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 (* (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 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 D #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 d w0) 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 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 (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) D (*.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)))) 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)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 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 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) D (*.f64 (fma.f64 (fma.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 (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 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))) 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 | 82 | 69 |
| 2 | 550 | 69 |
| 3 | 7052 | 69 |
| 0 | 8640 | 69 |
| 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 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) w0)) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) w0) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 w0 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (/.f64 h l) (fma.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 4 binary64)) (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 l h) #s(literal -3 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))))) |
(sqrt.f64 (fma.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1/2 binary64))) |
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(/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 (/.f64 l h) (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 l h) (*.f64 (*.f64 d #s(literal 2 binary64)) d))) |
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (/.f64 l h) (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 l h) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (/.f64 l h) (*.f64 (*.f64 d (/.f64 d M)) (/.f64 #s(literal 2 binary64) D)))) |
(/.f64 (*.f64 h (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) l) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 (neg.f64 l) h)) |
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 (/.f64 l h) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64)) (*.f64 (neg.f64 M) D)))) |
(/.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 l h)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (*.f64 (/.f64 l h) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)))) |
(/.f64 (*.f64 D M) (*.f64 (/.f64 l h) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64)) (*.f64 D M)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l h) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 l h) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l h) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))) (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (*.f64 #s(literal 1 binary64) M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) |
(*.f64 (/.f64 (neg.f64 M) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) |
(*.f64 (/.f64 (neg.f64 D) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 D #s(literal -2 binary64))) |
(*.f64 (/.f64 (neg.f64 M) #s(literal 2 binary64)) (/.f64 D (neg.f64 d))) |
(*.f64 (/.f64 (neg.f64 D) d) (/.f64 M #s(literal -2 binary64))) |
(*.f64 (/.f64 (neg.f64 D) #s(literal 2 binary64)) (/.f64 M (neg.f64 d))) |
(*.f64 (/.f64 D #s(literal -1 binary64)) (/.f64 (neg.f64 M) (*.f64 d #s(literal 2 binary64)))) |
(*.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 (neg.f64 D) d)) |
(*.f64 (/.f64 M (neg.f64 d)) (/.f64 (neg.f64 D) #s(literal 2 binary64))) |
(*.f64 (/.f64 M #s(literal -1 binary64)) (/.f64 (neg.f64 D) (*.f64 d #s(literal 2 binary64)))) |
(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (neg.f64 M) d)) |
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 (neg.f64 M) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) M))) (exp.f64 (log.f64 (/.f64 D d)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) d)))) |
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)))) |
(*.f64 (pow.f64 (/.f64 d M) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 d M) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 M d) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 M d) #s(literal 1 binary64)) (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) #s(literal 1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 M) D) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64))) |
(*.f64 (pow.f64 D #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 D M) (neg.f64 d))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 (neg.f64 M) D)) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) #s(literal 1 binary64))) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 M d)) |
(*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 M d) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 M) (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) |
(*.f64 (neg.f64 M) (/.f64 D (*.f64 #s(literal -2 binary64) d))) |
(*.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 d))) |
(*.f64 (neg.f64 D) (/.f64 M (*.f64 #s(literal -2 binary64) d))) |
(*.f64 (neg.f64 D) (*.f64 M (/.f64 #s(literal -1/2 binary64) d))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 M #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (*.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (pow.f64 (*.f64 D M) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 D M)) |
(*.f64 (/.f64 D d) (*.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64))) |
(*.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) M) (*.f64 (/.f64 D d) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) |
(*.f64 (*.f64 (neg.f64 M) D) (*.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 M) D) (/.f64 #s(literal -1/2 binary64) d)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 d M) D) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D d) M)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) |
(*.f64 (*.f64 D M) (/.f64 #s(literal 1/2 binary64) d)) |
(*.f64 D (*.f64 (*.f64 #s(literal 1/2 binary64) M) (pow.f64 d #s(literal -1 binary64)))) |
(*.f64 D (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) M))) |
(*.f64 D (*.f64 (neg.f64 M) (/.f64 #s(literal -1/2 binary64) d))) |
(*.f64 D (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) #s(literal 1 binary64))) |
(*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 M (*.f64 #s(literal 1/2 binary64) (/.f64 D d))) |
(*.f64 M (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))) |
(*.f64 M (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) |
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) D) (pow.f64 d #s(literal -1 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (neg.f64 M) (/.f64 D d)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 d)) |
(/.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 #s(literal 1/2 binary64) M) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) M)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64)) (/.f64 d D)) |
(/.f64 (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 D M)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 D d) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) M)) |
(/.f64 (*.f64 M #s(literal 1 binary64)) (*.f64 d (/.f64 #s(literal 2 binary64) D))) |
(/.f64 (*.f64 #s(literal 1 binary64) M) (*.f64 d (/.f64 #s(literal 2 binary64) D))) |
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) #s(literal -1 binary64)) (*.f64 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 (exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) 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 d #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) |
(/.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) D) M)) |
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) |
(/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) D)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (neg.f64 d)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 d M) D))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) d) |
(/.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (*.f64 D M) #s(literal -1 binary64))) |
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 d D)) |
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d M) D)) |
(/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) |
(/.f64 M (*.f64 d (/.f64 #s(literal 2 binary64) D))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 D d) M))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) d)) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 d M) D) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))) |
Compiled 17 622 to 2 865 computations (83.7% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 481 | 15 | 496 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 481 | 16 | 497 |
| Status | Accuracy | Program |
|---|---|---|
| 74.7% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) | |
| 73.5% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) | |
| ▶ | 79.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) |
| 72.9% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64)))) | |
| ▶ | 86.2% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
| ▶ | 75.7% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64)))) |
| 72.9% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64)))) | |
| 74.6% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) d) (/.f64 h l)) d)))) | |
| ✓ | 75.9% | (*.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))))) |
| 75.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) #s(literal 2 binary64)) (/.f64 h l))))) | |
| 77.0% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))))))) | |
| 73.9% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 M l) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 2 binary64)) M) (pow.f64 h #s(literal -1 binary64))))))) | |
| ▶ | 69.4% | (*.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 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) |
| 56.1% | (*.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)))) | |
| ▶ | 66.5% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 56.0% | #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)) |
Compiled 776 to 647 computations (16.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64)))) | |
| cost-diff | 1 | (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) | |
| cost-diff | 1 | (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) | |
| cost-diff | 1 | (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #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 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 | (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) | |
| cost-diff | 1 | (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) | |
| cost-diff | 1 | (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 573 |
| 0 | 99 | 577 |
| 1 | 211 | 577 |
| 2 | 762 | 556 |
| 3 | 3992 | 556 |
| 4 | 6351 | 556 |
| 0 | 8084 | 556 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
d |
M |
D |
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) |
(*.f64 D #s(literal 1/2 binary64)) |
(*.f64 (/.f64 M d) h) |
(/.f64 M d) |
h |
(neg.f64 l) |
l |
#s(literal 1 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 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) |
(*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) |
(/.f64 h l) |
h |
l |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) |
(*.f64 (*.f64 D M) #s(literal -1/2 binary64)) |
(*.f64 D M) |
D |
M |
#s(literal -1/2 binary64) |
d |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
d |
M |
D |
(neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (/.f64 h l) D) |
(/.f64 h l) |
h |
l |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 D (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M (/.f64 M d)) d))) (*.f64 (/.f64 h l) D) #s(literal -1 binary64)))) w0) |
w0 |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))) |
(sqrt.f64 (neg.f64 (fma.f64 (*.f64 D (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M (/.f64 M d)) d))) (*.f64 (/.f64 h l) D) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) |
(neg.f64 (fma.f64 (*.f64 D (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M (/.f64 M d)) d))) (*.f64 (/.f64 h l) D) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(*.f64 M (/.f64 #s(literal 1/2 binary64) d)) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
d |
M |
D |
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) h) (/.f64 (/.f64 M d) l)) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) |
(*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) |
(*.f64 D #s(literal 1/2 binary64)) |
(*.f64 (/.f64 M d) h) |
(*.f64 h (/.f64 M d)) |
(/.f64 M d) |
h |
(neg.f64 l) |
l |
#s(literal 1 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 (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 M M) D) #s(literal -1/4 binary64))) l) d) (/.f64 D 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 (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 M M) D) #s(literal -1/4 binary64))) l) d) (/.f64 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 d d) l)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 M M) D) #s(literal -1/4 binary64))) l) d) (/.f64 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 d d) l)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 (*.f64 h (*.f64 (*.f64 (*.f64 M M) D) #s(literal -1/4 binary64))) l) d) (/.f64 D 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 (/.f64 (*.f64 M M) l) d) (*.f64 D (/.f64 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 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 D (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M (/.f64 M d)) d))) (*.f64 (/.f64 h l) D) #s(literal -1 binary64)))) w0) |
w0 |
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) |
(sqrt.f64 (neg.f64 (fma.f64 (*.f64 D (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M (/.f64 M d)) d))) (*.f64 (/.f64 h l) D) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) |
(neg.f64 (fma.f64 (*.f64 D (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M (/.f64 M d)) d))) (*.f64 (/.f64 h l) D) #s(literal -1 binary64))) |
(*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) h) (/.f64 (/.f64 M d) l)) |
(/.f64 h l) |
h |
l |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d) |
(*.f64 (*.f64 D M) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 D M)) |
(*.f64 D M) |
D |
M |
#s(literal -1/2 binary64) |
d |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(*.f64 M (/.f64 #s(literal 1/2 binary64) d)) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 D (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M (/.f64 M d)) d))) (*.f64 (/.f64 h l) D) #s(literal -1 binary64)))) w0) |
w0 |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64))) |
(sqrt.f64 (neg.f64 (fma.f64 (*.f64 D (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M (/.f64 M d)) d))) (*.f64 (/.f64 h l) D) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64)) |
(neg.f64 (fma.f64 (*.f64 D (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 M (/.f64 M d)) d))) (*.f64 (/.f64 h l) D) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(*.f64 M (/.f64 #s(literal 1/2 binary64) d)) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
d |
M |
D |
(neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) h) (/.f64 (/.f64 M d) l)) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(/.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) l) |
(*.f64 (/.f64 h l) D) |
(/.f64 h l) |
h |
l |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.768473179907119 | (*.f64 (/.f64 h l) D) | |
| accuracy | 5.648950588194421 | (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64))) | |
| accuracy | 6.260079709516777 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) | |
| accuracy | 11.564270984730346 | (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) | |
| accuracy | 3.9740509550982446 | (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) | |
| accuracy | 5.648950588194421 | (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) | |
| accuracy | 6.260079709516777 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) | |
| accuracy | 9.00430630414114 | (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) | |
| accuracy | 5.648950588194421 | (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 | 7.886190132058807 | (*.f64 (*.f64 M M) D) | |
| accuracy | 9.56161854214414 | (*.f64 (*.f64 d d) l) | |
| accuracy | 12.694224929780695 | (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) | |
| accuracy | 2.1727602420722185 | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) | |
| accuracy | 21.5208259191047 | #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64)) | |
| accuracy | 6.000088054689676 | (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) | |
| accuracy | 6.168147381644697 | (*.f64 (/.f64 M d) h) | |
| accuracy | 6.260079709516777 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) | |
| accuracy | 6.928209128062148 | (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) |
| 109.0ms | 256× | 0 | valid |
Compiled 1 097 to 118 computations (89.2% saved)
ival-mult: 36.0ms (52.4% of total)ival-div: 12.0ms (17.5% of total)ival-sqrt: 10.0ms (14.6% of total)ival-add: 5.0ms (7.3% of total)ival-neg: 2.0ms (2.9% of total)ival-pow2: 2.0ms (2.9% of total)ival-sub: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 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)) |
(fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) |
(*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) |
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64))) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (/.f64 M d) h) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 d d) l) |
(*.f64 (*.f64 M M) D) |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (/.f64 h l) D) |
| Outputs |
|---|
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/2 (/ (* D (* M h)) (* d 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 (* -1/8 (/ (* (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))))))))) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D M) d)) |
(/ (* M h) d) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* D (pow M 2)) |
(* -1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 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))))) |
(* -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) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (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))))) |
(* -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 (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* 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 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 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))))))))) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (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) |
(* (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))) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (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)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | D | @ | 0 | ((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* 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) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (* (/ h l) (/ (* (* D M) -1/2) d)) (+ (* (* (* (/ 1/2 d) M) D) (neg (* (* (/ h l) D) (* (/ 1/2 d) M)))) 1) (neg (* (* (/ h l) D) (* (/ 1/2 d) M))) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (neg (* (* (/ h l) D) (* (/ 1/2 d) M)))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (neg (* (* (/ h l) D) (* (/ 1/2 d) M)))) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (* (/ M d) h) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D)) |
| 13.0ms | M | @ | 0 | ((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* 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) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (* (/ h l) (/ (* (* D M) -1/2) d)) (+ (* (* (* (/ 1/2 d) M) D) (neg (* (* (/ h l) D) (* (/ 1/2 d) M)))) 1) (neg (* (* (/ h l) D) (* (/ 1/2 d) M))) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (neg (* (* (/ h l) D) (* (/ 1/2 d) M)))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (neg (* (* (/ h l) D) (* (/ 1/2 d) M)))) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (* (/ M d) h) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D)) |
| 11.0ms | d | @ | 0 | ((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* 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) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (* (/ h l) (/ (* (* D M) -1/2) d)) (+ (* (* (* (/ 1/2 d) M) D) (neg (* (* (/ h l) D) (* (/ 1/2 d) M)))) 1) (neg (* (* (/ h l) D) (* (/ 1/2 d) M))) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (neg (* (* (/ h l) D) (* (/ 1/2 d) M)))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (neg (* (* (/ h l) D) (* (/ 1/2 d) M)))) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (* (/ M d) h) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D)) |
| 9.0ms | h | @ | inf | ((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* 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) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (* (/ h l) (/ (* (* D M) -1/2) d)) (+ (* (* (* (/ 1/2 d) M) D) (neg (* (* (/ h l) D) (* (/ 1/2 d) M)))) 1) (neg (* (* (/ h l) D) (* (/ 1/2 d) M))) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (neg (* (* (/ h l) D) (* (/ 1/2 d) M)))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (neg (* (* (/ h l) D) (* (/ 1/2 d) M)))) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (* (/ M d) h) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D)) |
| 5.0ms | D | @ | -inf | ((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1) (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* D 1/2) (* (/ M d) h)) (neg l))) 1)) (* 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) (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1) (* w0 (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1))) (sqrt (+ (* (* (/ h l) (/ (* (* D M) -1/2) d)) (* (* (/ 1/2 d) M) D)) 1)) (* (/ h l) (/ (* (* D M) -1/2) d)) (+ (* (* (* (/ 1/2 d) M) D) (neg (* (* (/ h l) D) (* (/ 1/2 d) M)))) 1) (neg (* (* (/ h l) D) (* (/ 1/2 d) M))) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (neg (* (* (/ h l) D) (* (/ 1/2 d) M)))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (neg (* (* (/ h l) D) (* (/ 1/2 d) M)))) 1)) (* (* D 1/2) (* (/ M d) h)) (* (* (/ 1/2 d) M) D) (* (/ M d) h) (/ (* (* (* M M) D) D) (* (* d d) l)) (* (* d d) l) (* (* M M) D) (/ (* (* D M) -1/2) d) (* (* (/ h l) D) (* (/ 1/2 d) M)) (* (/ h l) D)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 656 | 4658 |
| 1 | 2266 | 4626 |
| 0 | 8178 | 4478 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
1 |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/2 (/ (* D (* M h)) (* d 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 (* -1/8 (/ (* (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))))))))) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D M) d)) |
(/ (* M h) d) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* D (pow M 2)) |
(* -1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 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))))) |
(* -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) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (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))))) |
(* -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 (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* 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 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 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))))))))) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (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) |
(* (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))) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (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)) |
| Outputs |
|---|
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64))) w0) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal 1 binary64)) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) 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 (*.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 (* -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 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)) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) |
(/ (* M h) d) |
(/.f64 (*.f64 h M) d) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (*.f64 (*.f64 d d) l)) |
(* D (pow M 2)) |
(*.f64 (*.f64 D M) M) |
(* -1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal -1/2 binary64)) |
(* 1/2 (/ (* D (* M h)) (* d l))) |
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(/ (+ (* (* 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 d d) (/.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 D #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 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 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 D #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 w0 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 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 (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) D (*.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)))) 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)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 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 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) D (*.f64 (fma.f64 (fma.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 (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 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))) 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 | 58 | 462 |
| 0 | 99 | 466 |
| 1 | 324 | 409 |
| 2 | 2586 | 399 |
| 0 | 8420 | 385 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 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)) |
(fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64))) |
(*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) |
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64))) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (/.f64 M d) h) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 d d) l) |
(*.f64 (*.f64 M M) D) |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (/.f64 h l) D) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64)))) (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 6 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 6 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 6 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 6 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) h) (neg.f64 l))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) h) (neg.f64 l))) #s(literal 1 binary64)) (*.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) h) (neg.f64 l))) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) h) (neg.f64 l))) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) h) (neg.f64 l))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) h) (neg.f64 l))) (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) h) (neg.f64 l)))) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) h) (neg.f64 l))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 6 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64))) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 6 binary64)) (pow.f64 (/.f64 l h) #s(literal -3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64)) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 4 binary64))))) (pow.f64 (fma.f64 (/.f64 h l) (pow.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
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(/.f64 (neg.f64 (*.f64 (neg.f64 M) h)) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 h (neg.f64 M))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 h M))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) h)) (neg.f64 (/.f64 d M))) |
(/.f64 (neg.f64 (*.f64 h #s(literal 1 binary64))) (neg.f64 (/.f64 d M))) |
(/.f64 (*.f64 (neg.f64 M) h) (neg.f64 d)) |
(/.f64 (*.f64 h (neg.f64 M)) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 h M)) (neg.f64 d)) |
(/.f64 (*.f64 #s(literal 1 binary64) h) (/.f64 d M)) |
(/.f64 (*.f64 h #s(literal 1 binary64)) (/.f64 d M)) |
(/.f64 (*.f64 h M) d) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 h M)))) |
(/.f64 (neg.f64 h) (neg.f64 (/.f64 d M))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 h M))) |
(/.f64 h (/.f64 d M)) |
(*.f64 (pow.f64 (/.f64 (*.f64 d d) (*.f64 M M)) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 D D)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 d d) D) #s(literal -1 binary64)) (pow.f64 (/.f64 l (*.f64 (*.f64 M M) D)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 l (*.f64 (*.f64 M M) D)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d d) D) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 l (*.f64 M M)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 d d) (*.f64 D D)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d (*.f64 (*.f64 M M) D)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 l d) D) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d (*.f64 M M)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 l d) (*.f64 D D)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 d #s(literal -2 binary64)) (pow.f64 (/.f64 l (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 M M) (*.f64 d d)) (/.f64 (*.f64 D D) l)) |
(*.f64 (/.f64 (*.f64 M M) l) (/.f64 (*.f64 D D) (*.f64 d d))) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) l) (/.f64 D (*.f64 d d))) |
(*.f64 (/.f64 D (*.f64 d d)) (/.f64 (*.f64 (*.f64 M M) D) l)) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 (*.f64 D D) (*.f64 l d))) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) D) d) (/.f64 D (*.f64 l d))) |
(*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 (*.f64 M M) D)) |
(*.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (pow.f64 d #s(literal -2 binary64))) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (pow.f64 d #s(literal -2 binary64)))) |
(*.f64 (/.f64 (pow.f64 d #s(literal -2 binary64)) l) (pow.f64 (pow.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 d #s(literal -2 binary64)) l) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 l d) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 D l) (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d))) |
(*.f64 (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d)) (/.f64 D l)) |
(*.f64 (/.f64 D d) (pow.f64 (/.f64 (*.f64 l d) (*.f64 (*.f64 M M) D)) #s(literal -1 binary64))) |
(*.f64 (/.f64 D d) (/.f64 (*.f64 (*.f64 M M) D) (*.f64 l d))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (pow.f64 (*.f64 (neg.f64 d) (*.f64 l d)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (/.f64 (pow.f64 d #s(literal -2 binary64)) l)) |
(*.f64 (*.f64 (*.f64 M M) D) (/.f64 D (*.f64 (*.f64 d d) l))) |
(*.f64 (*.f64 M M) (/.f64 (*.f64 D D) (*.f64 (*.f64 d d) l))) |
(*.f64 (*.f64 M M) (*.f64 (*.f64 D D) (/.f64 (pow.f64 d #s(literal -2 binary64)) l))) |
(*.f64 (*.f64 M M) (*.f64 D (/.f64 D (*.f64 (*.f64 d d) l)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (*.f64 l d))) |
(*.f64 D (/.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 d d) l))) |
(*.f64 D (*.f64 (*.f64 (*.f64 M M) D) (/.f64 (pow.f64 d #s(literal -2 binary64)) l))) |
(*.f64 D (*.f64 (*.f64 M M) (/.f64 D (*.f64 (*.f64 d d) l)))) |
(*.f64 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) |
(pow.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (pow.f64 d #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 d d) (/.f64 l (pow.f64 (*.f64 D M) #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 d d) (/.f64 l (pow.f64 (*.f64 D M) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D l))) (neg.f64 (*.f64 d d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d)) D)) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 d) (*.f64 l d))) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) l)) (neg.f64 (*.f64 d d))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (pow.f64 d #s(literal -2 binary64))))) l) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 d) (*.f64 l d))))) |
(/.f64 (neg.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d)) (neg.f64 (*.f64 l d))) |
(/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) d) (*.f64 l d)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) D) (/.f64 D l)) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d)) D) l) |
(/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 d d) l)) |
(/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) l) (*.f64 d d)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (pow.f64 d #s(literal -2 binary64)))) (neg.f64 l)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)))) (neg.f64 (*.f64 (neg.f64 d) (*.f64 l d)))) |
(/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (pow.f64 d #s(literal -2 binary64))) l) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (pow.f64 d #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 d d) (/.f64 l (pow.f64 (*.f64 D M) #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 d d) (/.f64 l (pow.f64 (*.f64 D M) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 (neg.f64 d) (*.f64 l d))) |
(/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (*.f64 d d) l)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 d d) (/.f64 l (pow.f64 (*.f64 D M) #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (pow.f64 d #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) (/.f64 l (pow.f64 (*.f64 D M) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 d d) (/.f64 l (pow.f64 (*.f64 D M) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (*.f64 (*.f64 d d) l))) |
(neg.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (neg.f64 d) (*.f64 l d)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 d) (*.f64 l d))) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (neg.f64 d) (*.f64 l d)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 d d) (/.f64 l (pow.f64 (*.f64 D M) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 l d) d) |
(*.f64 (*.f64 d d) l) |
(*.f64 l (*.f64 d d)) |
(*.f64 d (*.f64 l d)) |
(*.f64 (*.f64 M M) D) |
(*.f64 (*.f64 D M) M) |
(*.f64 D (*.f64 M M)) |
(*.f64 M (*.f64 D M)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 D M)) |
(*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 d) #s(literal -1 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 D M))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 D M) (pow.f64 d #s(literal -1 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 D M) d)) |
(*.f64 (*.f64 D M) (/.f64 #s(literal -1/2 binary64) d)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d)) |
(*.f64 D (/.f64 (*.f64 #s(literal -1/2 binary64) M) d)) |
(*.f64 D (*.f64 (*.f64 #s(literal -1/2 binary64) M) (pow.f64 d #s(literal -1 binary64)))) |
(*.f64 D (*.f64 M (/.f64 #s(literal -1/2 binary64) d))) |
(*.f64 M (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) |
(pow.f64 (/.f64 (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 D M))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 D M))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (neg.f64 d)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) #s(literal 1 binary64))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) #s(literal 1 binary64)) d) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (neg.f64 d)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 D M))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 D M))))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 D M)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 D M))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 D M)))) |
(neg.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 D M)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (/.f64 #s(literal 1/2 binary64) d)) |
(*.f64 (*.f64 (/.f64 h l) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) D) |
(*.f64 (*.f64 (/.f64 h l) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D M)) |
(*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (/.f64 h l)) D) |
(*.f64 (*.f64 (*.f64 (/.f64 h l) D) (/.f64 #s(literal 1/2 binary64) d)) M) |
(*.f64 (*.f64 (/.f64 h l) D) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 (/.f64 h l) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) |
(*.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (*.f64 h (/.f64 M d)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) l)) |
(*.f64 h (*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (*.f64 h (/.f64 M d)) l)) |
(*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 h l)) |
(*.f64 D (*.f64 (/.f64 h l) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) |
(*.f64 D (/.f64 (*.f64 (*.f64 h (/.f64 M d)) #s(literal 1/2 binary64)) l)) |
(*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (/.f64 h l) D)) |
(*.f64 M (*.f64 (*.f64 (/.f64 h l) D) (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 M (*.f64 (/.f64 h l) D))) |
(pow.f64 (*.f64 (/.f64 l h) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) (/.f64 l h)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 l (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 h D) (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))) l) |
(/.f64 (neg.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 h l) D))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 M #s(literal 1/2 binary64)))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 h D))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64)))) (neg.f64 (*.f64 l d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 h D))) (neg.f64 (*.f64 l d))) |
(/.f64 (*.f64 (*.f64 h D) (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) |
(/.f64 (*.f64 (neg.f64 h) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 h l) D)) d) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 M #s(literal 1/2 binary64))) d) |
(/.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (*.f64 h D)) l) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d) h)) l) |
(/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d)) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 h D)) (*.f64 l d)) |
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d) h) (neg.f64 l)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 d (*.f64 #s(literal -1/2 binary64) (*.f64 D M))) (/.f64 l h))) |
(/.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d) (neg.f64 (/.f64 l h))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))))) |
(/.f64 (*.f64 h (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) l) |
(/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (/.f64 l h)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 l)) (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) d) (/.f64 h l))) |
(*.f64 (*.f64 h D) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (/.f64 h l) D) |
(*.f64 h (*.f64 (pow.f64 l #s(literal -1 binary64)) D)) |
(*.f64 h (/.f64 D l)) |
(*.f64 D (/.f64 h l)) |
(pow.f64 (/.f64 l (*.f64 h D)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) D)) l) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) D)) (neg.f64 (/.f64 l h))) |
(/.f64 (neg.f64 (*.f64 D (neg.f64 h))) l) |
(/.f64 (neg.f64 (neg.f64 (*.f64 h D))) l) |
(/.f64 (neg.f64 (*.f64 D #s(literal 1 binary64))) (neg.f64 (/.f64 l h))) |
(/.f64 (*.f64 (neg.f64 h) D) (neg.f64 l)) |
(/.f64 (*.f64 #s(literal 1 binary64) D) (/.f64 l h)) |
(/.f64 (*.f64 D (neg.f64 h)) (neg.f64 l)) |
(/.f64 (*.f64 D #s(literal 1 binary64)) (/.f64 l h)) |
(/.f64 (neg.f64 D) (neg.f64 (/.f64 l h))) |
(/.f64 (neg.f64 (*.f64 h D)) (neg.f64 l)) |
(/.f64 (*.f64 h D) l) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 h D)))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 h D))) |
(/.f64 D (/.f64 l h)) |
Compiled 31 494 to 4 509 computations (85.7% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 892 | 13 | 905 |
| Fresh | 7 | 3 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 903 | 18 | 921 |
| Status | Accuracy | Program |
|---|---|---|
| 79.8% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) #s(literal 1 binary64)))) | |
| ▶ | 74.8% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64)))) |
| ✓ | 86.2% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
| ▶ | 81.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)))) |
| 77.8% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d))) #s(literal 1 binary64)))) | |
| 80.7% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) | |
| 75.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) #s(literal 2 binary64)) (/.f64 h l))))) | |
| 76.1% | (*.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) d) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 l d)) #s(literal 1 binary64))))) | |
| ▶ | 63.2% | (*.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))))) |
| 69.7% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) | |
| ▶ | 72.2% | (*.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 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
| 60.2% | (*.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 (*.f64 D D) M) M) (*.f64 (*.f64 d d) l)) #s(literal 1 binary64))))) | |
| 76.1% | (*.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 (*.f64 M M) D) d) (/.f64 D (*.f64 l d))) #s(literal 1 binary64))))) | |
| 62.0% | (*.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) d) (/.f64 (*.f64 D D) (*.f64 l d))) #s(literal 1 binary64))))) | |
| 73.3% | (*.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 M (*.f64 (*.f64 D M) (/.f64 D (*.f64 (*.f64 d d) l)))) #s(literal 1 binary64))))) | |
| 56.1% | (*.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)))) | |
| ✓ | 66.5% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| ▶ | 56.0% | #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)) |
Compiled 1 080 to 849 computations (21.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64)))) | |
| cost-diff | 1 | (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) | |
| cost-diff | 2 | (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) | |
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (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)))) | |
| cost-diff | 0 | (*.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))))) | |
| 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 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)))) | |
| cost-diff | 2 | (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 683 |
| 0 | 123 | 684 |
| 1 | 264 | 684 |
| 2 | 897 | 682 |
| 3 | 3204 | 673 |
| 4 | 5718 | 664 |
| 0 | 8171 | 664 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
d |
M |
D |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) |
(*.f64 #s(literal -1/2 binary64) (*.f64 D M)) |
#s(literal -1/2 binary64) |
(*.f64 D M) |
h |
(*.f64 l 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 (*.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 (/.f64 (*.f64 M M) d) (/.f64 D d)) (*.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 (*.f64 M M) d) (/.f64 D d)) (*.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 (*.f64 M M) d) (/.f64 D d)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))) |
(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 (/.f64 (*.f64 M M) d) (/.f64 D d)) |
(/.f64 (*.f64 M M) d) |
(*.f64 M M) |
M |
d |
(/.f64 D d) |
D |
(*.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) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64)) |
(*.f64 (/.f64 h l) D) |
(/.f64 h l) |
h |
l |
D |
(*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) |
(*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) |
(neg.f64 M) |
M |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
d |
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 M (/.f64 #s(literal 1/2 binary64) d)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) d) d) (*.f64 D (*.f64 M (/.f64 M l))) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) d) d) (*.f64 D (*.f64 M (/.f64 M l))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) d) d) (*.f64 D (*.f64 M (/.f64 M l))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(*.f64 M (/.f64 #s(literal 1/2 binary64) d)) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
d |
M |
D |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) |
(*.f64 (*.f64 (*.f64 (/.f64 h l) D) M) (/.f64 #s(literal -1/2 binary64) d)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) |
(*.f64 h (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 D M)) |
(*.f64 (*.f64 D M) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 D M) |
h |
(*.f64 l 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 (*.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 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) w0) #s(literal -1/8 binary64)) d) (*.f64 D (/.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) |
(fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) w0) #s(literal -1/8 binary64)) d) (*.f64 D (/.f64 D 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 d) l) (/.f64 (*.f64 (*.f64 M M) h) 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))))) |
(*.f64 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) d) d) (*.f64 D (*.f64 M (/.f64 M l))) #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 (/.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) d) d) (*.f64 D (*.f64 M (/.f64 M 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 l d) d)) #s(literal 1 binary64))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) d) d) (*.f64 D (*.f64 M (/.f64 M l))) #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 (/.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) d) d) (*.f64 D (*.f64 M (/.f64 M l))) #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 (/.f64 (*.f64 (*.f64 D M) D) d) d) (/.f64 M l)) |
(*.f64 (*.f64 (*.f64 M M) D) D) |
(*.f64 (*.f64 M M) D) |
(*.f64 M M) |
M |
D |
(*.f64 (*.f64 l d) d) |
(*.f64 (*.f64 d d) l) |
(*.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 (/.f64 (*.f64 M M) d) (/.f64 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))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) d) d) (*.f64 D (*.f64 M (/.f64 M l))) #s(literal 1 binary64)))) w0) |
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)))) |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) d) d) (*.f64 D (*.f64 M (/.f64 M l))) #s(literal 1 binary64)))) |
#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))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) d) d) (*.f64 D (*.f64 M (/.f64 M l))) #s(literal 1 binary64))) |
(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)) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) d) d) (*.f64 D (*.f64 M (/.f64 M l))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d)) |
(*.f64 (/.f64 (*.f64 (/.f64 M d) D) d) M) |
(/.f64 (*.f64 M M) d) |
(*.f64 M M) |
M |
d |
(/.f64 D d) |
D |
(*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) |
(*.f64 (*.f64 #s(literal -1/4 binary64) D) (/.f64 h l)) |
(/.f64 D l) |
l |
(*.f64 #s(literal -1/4 binary64) h) |
#s(literal -1/4 binary64) |
h |
#s(literal 1 binary64) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) d) d) (*.f64 D (*.f64 M (/.f64 M l))) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) d) d) (*.f64 D (*.f64 M (/.f64 M l))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 h D) #s(literal -1/4 binary64)) d) d) (*.f64 D (*.f64 M (/.f64 M l))) #s(literal 1 binary64)) |
(*.f64 (/.f64 h l) D) |
(/.f64 h l) |
h |
l |
D |
(*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) |
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) #s(literal -1/4 binary64)) D) |
(*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) d) M) |
(neg.f64 M) |
M |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
d |
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) |
(*.f64 M (/.f64 #s(literal 1/2 binary64) d)) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.768473179907119 | (*.f64 (/.f64 h l) D) | |
| accuracy | 5.648950588194421 | (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))) | |
| accuracy | 6.260079709516777 | (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) | |
| accuracy | 7.480758968756935 | (fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64)) | |
| accuracy | 6.3292360373161 | (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) | |
| accuracy | 6.901630136222678 | (/.f64 (*.f64 M M) d) | |
| accuracy | 7.480758968756935 | (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)) | |
| accuracy | 8.815498854635505 | (*.f64 (/.f64 (*.f64 M M) d) (/.f64 D d)) | |
| accuracy | 2.889649553111641 | (*.f64 (*.f64 (*.f64 M M) D) D) | |
| accuracy | 5.648950588194421 | (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 | 7.886190132058807 | (*.f64 (*.f64 M M) D) | |
| accuracy | 12.694224929780695 | (/.f64 (*.f64 (*.f64 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) | |
| accuracy | 8.456505420597667 | (*.f64 (*.f64 M M) h) | |
| accuracy | 12.69236129291812 | (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) | |
| accuracy | 13.638450977254832 | #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 | 13.674611300017583 | (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 | 4.3364534702133755 | (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) | |
| accuracy | 5.648950588194421 | (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64))) | |
| accuracy | 6.260079709516777 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) | |
| accuracy | 9.794569896459283 | (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) |
| 129.0ms | 256× | 0 | valid |
Compiled 1 242 to 142 computations (88.6% saved)
ival-mult: 53.0ms (58.5% of total)ival-div: 21.0ms (23.2% of total)ival-add: 6.0ms (6.6% of total)ival-sqrt: 5.0ms (5.5% of total)ival-pow2: 3.0ms (3.3% of total)ival-sub: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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) |
(*.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 (/.f64 (*.f64 M M) d) (/.f64 D d)) (*.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 (*.f64 M M) d) (/.f64 D d)) (*.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 (*.f64 M M) d) (/.f64 D d)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))) |
(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 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) |
(*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) |
(*.f64 (*.f64 M M) h) |
(/.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) d) (/.f64 D d)) |
(/.f64 (*.f64 M M) d) |
(*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) |
(fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64)) |
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 (/.f64 h l) D) |
| Outputs |
|---|
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* 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)) |
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
1 |
(+ 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 (* -1/8 (/ (* (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))))))))) |
(* 1/2 (/ (* D M) d)) |
(* -1/4 (/ (* D (pow M 2)) (pow d 2))) |
(* -1/2 (/ M d)) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (* D (* M h))) |
(* (pow M 2) h) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* D (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(/ (* D (pow M 2)) (pow d 2)) |
(/ (pow M 2) d) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 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))))))) |
(* -1/8 (/ (* (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 (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))))))))) |
(* -1/8 (pow D 2)) |
(pow D 2) |
(* -1/4 (/ (* D h) l)) |
(/ (* D h) l) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (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) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* (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 (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* 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 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 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 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)))))) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (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) |
(/ (+ (* -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) |
(+ 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))) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (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) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | M | @ | 0 | ((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* -1/2 (* D M)) h) (* l d))) 1) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* -1/2 (* D M)) h) (* l d))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* -1/2 (* D M)) h) (* l d))) 1)) (* (* (/ 1/2 d) M) D) (* 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))) (+ (* (* (/ (* M M) d) (/ D d)) (* (/ D l) (* -1/4 h))) 1) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d)))) (* (neg M) (/ 1/2 d)) (* w0 (sqrt (+ (* (* (/ h l) D) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d))))) 1))) (sqrt (+ (* (* (/ h l) D) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d))))) 1)) (/ (* (* -1/2 (* D M)) h) (* l d)) (* (* -1/2 (* D M)) h) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (* (* M M) h) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (* (* M M) D) D) (* (/ (* M M) d) (/ D d)) (/ (* M M) d) (* (/ D l) (* -1/4 h)) (+ (* (* (/ h l) D) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d))))) 1) (* D (* M (/ 1/2 d))) (* (/ h l) D)) |
| 20.0ms | D | @ | -inf | ((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* -1/2 (* D M)) h) (* l d))) 1) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* -1/2 (* D M)) h) (* l d))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* -1/2 (* D M)) h) (* l d))) 1)) (* (* (/ 1/2 d) M) D) (* 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))) (+ (* (* (/ (* M M) d) (/ D d)) (* (/ D l) (* -1/4 h))) 1) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d)))) (* (neg M) (/ 1/2 d)) (* w0 (sqrt (+ (* (* (/ h l) D) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d))))) 1))) (sqrt (+ (* (* (/ h l) D) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d))))) 1)) (/ (* (* -1/2 (* D M)) h) (* l d)) (* (* -1/2 (* D M)) h) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (* (* M M) h) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (* (* M M) D) D) (* (/ (* M M) d) (/ D d)) (/ (* M M) d) (* (/ D l) (* -1/4 h)) (+ (* (* (/ h l) D) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d))))) 1) (* D (* M (/ 1/2 d))) (* (/ h l) D)) |
| 20.0ms | d | @ | 0 | ((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* -1/2 (* D M)) h) (* l d))) 1) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* -1/2 (* D M)) h) (* l d))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* -1/2 (* D M)) h) (* l d))) 1)) (* (* (/ 1/2 d) M) D) (* 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))) (+ (* (* (/ (* M M) d) (/ D d)) (* (/ D l) (* -1/4 h))) 1) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d)))) (* (neg M) (/ 1/2 d)) (* w0 (sqrt (+ (* (* (/ h l) D) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d))))) 1))) (sqrt (+ (* (* (/ h l) D) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d))))) 1)) (/ (* (* -1/2 (* D M)) h) (* l d)) (* (* -1/2 (* D M)) h) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (* (* M M) h) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (* (* M M) D) D) (* (/ (* M M) d) (/ D d)) (/ (* M M) d) (* (/ D l) (* -1/4 h)) (+ (* (* (/ h l) D) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d))))) 1) (* D (* M (/ 1/2 d))) (* (/ h l) D)) |
| 7.0ms | M | @ | -inf | ((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* -1/2 (* D M)) h) (* l d))) 1) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* -1/2 (* D M)) h) (* l d))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* -1/2 (* D M)) h) (* l d))) 1)) (* (* (/ 1/2 d) M) D) (* 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))) (+ (* (* (/ (* M M) d) (/ D d)) (* (/ D l) (* -1/4 h))) 1) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d)))) (* (neg M) (/ 1/2 d)) (* w0 (sqrt (+ (* (* (/ h l) D) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d))))) 1))) (sqrt (+ (* (* (/ h l) D) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d))))) 1)) (/ (* (* -1/2 (* D M)) h) (* l d)) (* (* -1/2 (* D M)) h) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (* (* M M) h) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (* (* M M) D) D) (* (/ (* M M) d) (/ D d)) (/ (* M M) d) (* (/ D l) (* -1/4 h)) (+ (* (* (/ h l) D) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d))))) 1) (* D (* M (/ 1/2 d))) (* (/ h l) D)) |
| 7.0ms | d | @ | -inf | ((+ (* (* (* (/ 1/2 d) M) D) (/ (* (* -1/2 (* D M)) h) (* l d))) 1) (* w0 (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* -1/2 (* D M)) h) (* l d))) 1))) (sqrt (+ (* (* (* (/ 1/2 d) M) D) (/ (* (* -1/2 (* D M)) h) (* l d))) 1)) (* (* (/ 1/2 d) M) D) (* 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))) (+ (* (* (/ (* M M) d) (/ D d)) (* (/ D l) (* -1/4 h))) 1) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d)))) (* (neg M) (/ 1/2 d)) (* w0 (sqrt (+ (* (* (/ h l) D) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d))))) 1))) (sqrt (+ (* (* (/ h l) D) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d))))) 1)) (/ (* (* -1/2 (* D M)) h) (* l d)) (* (* -1/2 (* D M)) h) (* (/ (* (* M M) h) l) (/ w0 (* d d))) (* (* M M) h) (/ (* (* (* M M) D) D) (* (* l d) d)) (* (* M M) D) (* (* (* M M) D) D) (* (/ (* M M) d) (/ D d)) (/ (* M M) d) (* (/ D l) (* -1/4 h)) (+ (* (* (/ h l) D) (* (* (neg M) (/ 1/2 d)) (* D (* M (/ 1/2 d))))) 1) (* D (* M (/ 1/2 d))) (* (/ h l) D)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 686 | 4898 |
| 1 | 2357 | 4873 |
| 0 | 8516 | 4716 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* 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)) |
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
1 |
(+ 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 (* -1/8 (/ (* (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))))))))) |
(* 1/2 (/ (* D M) d)) |
(* -1/4 (/ (* D (pow M 2)) (pow d 2))) |
(* -1/2 (/ M d)) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* -1/2 (* D (* M h))) |
(* (pow M 2) h) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(* D (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(/ (* D (pow M 2)) (pow d 2)) |
(/ (pow M 2) d) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 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))))))) |
(* -1/8 (/ (* (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 (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))))))))) |
(* -1/8 (pow D 2)) |
(pow D 2) |
(* -1/4 (/ (* D h) l)) |
(/ (* D h) l) |
(* (pow D 2) (+ (* -1/4 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (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) (+ (* -1/8 (/ (* (pow M 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow D 2)))) |
(* (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 (+ (* -1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* 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 (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h))) |
(* h (- (/ 1 h) (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* -1 (* h (- (* 1/4 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 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 (/ w0 h)) (* 1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l)))))) |
(/ (+ l (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (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) |
(/ (+ (* -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) |
(+ 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))) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (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) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
(/ (- (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 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (/.f64 (/.f64 (*.f64 M M) d) d)) #s(literal 1 binary64))) w0) |
(* w0 (sqrt (- 1 (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (/.f64 (/.f64 (*.f64 M M) d) d)) #s(literal 1 binary64))) w0) |
(* w0 (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))))) |
(fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) l) (/.f64 h (*.f64 d d))) w0) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(*.f64 (/.f64 (*.f64 w0 h) l) (/.f64 (/.f64 (*.f64 M M) d) d)) |
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
(*.f64 (neg.f64 w0) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l)) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (/.f64 (/.f64 (*.f64 M M) d) d)) #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 (*.f64 w0 h) l) (/.f64 (/.f64 (*.f64 M M) 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 -1/128 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 (/.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 (/.f64 D d) (/.f64 D d))) (/.f64 (*.f64 w0 h) l) (*.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 M M) w0) |
(+ 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) (pow.f64 D #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 (*.f64 h h) l) (/.f64 (*.f64 M M) l)) (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 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))) (pow.f64 d #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal -1/128 binary64) (pow.f64 D #s(literal 4 binary64))) (*.f64 (/.f64 h (*.f64 l l)) (/.f64 h (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)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) |
(* -1/4 (/ (* D (pow M 2)) (pow d 2))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) D) (/.f64 (/.f64 (*.f64 M M) d) d)) |
(* -1/2 (/ M d)) |
(*.f64 (/.f64 M d) #s(literal -1/2 binary64)) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l)) |
(* -1/2 (* D (* M h))) |
(*.f64 (*.f64 (*.f64 h M) D) #s(literal -1/2 binary64)) |
(* (pow M 2) h) |
(*.f64 (*.f64 M M) h) |
(/ (* (pow D 2) (pow M 2)) (* (pow d 2) l)) |
(*.f64 (/.f64 (*.f64 D D) l) (/.f64 (/.f64 (*.f64 M M) d) d)) |
(* D (pow M 2)) |
(*.f64 (*.f64 D M) M) |
(* (pow D 2) (pow M 2)) |
(*.f64 (*.f64 (*.f64 D M) M) D) |
(/ (* D (pow M 2)) (pow d 2)) |
(*.f64 (/.f64 D d) (/.f64 (*.f64 M M) d)) |
(/ (pow M 2) d) |
(/.f64 (*.f64 M M) d) |
(* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/4 binary64)) (*.f64 (/.f64 h (*.f64 d d)) (/.f64 (*.f64 M M) l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (/.f64 h (*.f64 d d))) #s(literal 1 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 d D)) (/.f64 (/.f64 w0 (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 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d D)) (/.f64 (/.f64 w0 (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 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 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 d D)) (/.f64 (/.f64 w0 (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))))) |
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(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) D (*.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)))) 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)) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 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 (*.f64 (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M)) D (*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) #s(literal -1/4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 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))) d) |
(/ (+ (* -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 w0 d) d)) (*.f64 d d)) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(fma.f64 (*.f64 h #s(literal -1/4 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (/.f64 (/.f64 (*.f64 M M) d) d)) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 567 |
| 0 | 123 | 567 |
| 1 | 407 | 529 |
| 2 | 3030 | 527 |
| 0 | 9267 | 527 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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) |
(*.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 (/.f64 (*.f64 M M) d) (/.f64 D d)) (*.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 (*.f64 M M) d) (/.f64 D d)) (*.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 (*.f64 M M) d) (/.f64 D d)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))) |
(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 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) |
(*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 w0 (*.f64 d d))) |
(*.f64 (*.f64 M M) h) |
(/.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) d) (/.f64 D d)) |
(/.f64 (*.f64 M M) d) |
(*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) |
(fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64)) |
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 (/.f64 h l) D) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)))) (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)))) (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)))) (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)) #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)))) (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)))) (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)))) (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
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(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 l h) #s(literal -2 binary64)) (pow.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) #s(literal 4 binary64))) (fma.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 h l)) (pow.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) #s(literal 2 binary64)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 M #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (/.f64 D d)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) d)))) |
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)) (/.f64 M d)) |
(*.f64 (pow.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) #s(literal 1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 M d) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 M d) #s(literal 1 binary64)) (pow.f64 (/.f64 D #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 M) D) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) #s(literal 1 binary64)) D) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64)) M) |
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D)) (sqrt.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D))) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) |
(*.f64 (/.f64 M d) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64))) |
(*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) |
(*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) |
(*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) |
(*.f64 (*.f64 (neg.f64 M) D) (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal -1 binary64))) |
(*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) |
(*.f64 (/.f64 D d) (*.f64 M #s(literal 1/2 binary64))) |
(*.f64 (*.f64 D M) (/.f64 #s(literal 1/2 binary64) d)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D)) |
(*.f64 D (pow.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) #s(literal 1 binary64))) |
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 M (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))) |
(*.f64 M (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) |
(*.f64 M (*.f64 D (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (pow.f64 (*.f64 D M) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 D M)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 d (*.f64 D M)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 D M)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 D M))) |
(pow.f64 (sqrt.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 d (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D M))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 d D))) |
(/.f64 (neg.f64 (*.f64 M (/.f64 D d))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) (neg.f64 d)) |
(/.f64 (neg.f64 (/.f64 (*.f64 D M) d)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 M) D))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) d)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 D M) #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 D M))) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (neg.f64 (*.f64 M #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 d D)))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)))) (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 #s(literal 1/2 binary64) (*.f64 D M)) d) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d D)) |
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) |
(/.f64 (/.f64 (*.f64 D M) d) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D)) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 M) D)) (neg.f64 (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 M #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 d D))) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) d) |
(/.f64 (*.f64 (neg.f64 M) #s(literal 1/2 binary64)) (neg.f64 (/.f64 d D))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 (*.f64 D M) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)))) |
(/.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 d D)) |
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 D M) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) M) D) (neg.f64 d)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal 2 binary64) d))) |
(neg.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal -2 binary64) d))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (*.f64 (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) D))) |
(*.f64 (*.f64 h D) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (/.f64 h l) D) |
(*.f64 h (/.f64 D l)) |
(*.f64 D (/.f64 h l)) |
(pow.f64 (/.f64 l (*.f64 h D)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 h) D)) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 D (neg.f64 h))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 h D))) (neg.f64 (neg.f64 l))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) D)) (neg.f64 (/.f64 l h))) |
(/.f64 (neg.f64 (*.f64 D #s(literal 1 binary64))) (neg.f64 (/.f64 l h))) |
(/.f64 (*.f64 (neg.f64 h) D) (neg.f64 l)) |
(/.f64 (*.f64 D (neg.f64 h)) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 h D)) (neg.f64 l)) |
(/.f64 (*.f64 D #s(literal 1 binary64)) (/.f64 l h)) |
(/.f64 (*.f64 #s(literal 1 binary64) D) (/.f64 l h)) |
(/.f64 (*.f64 h D) l) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 h D)))) |
(/.f64 (neg.f64 D) (neg.f64 (/.f64 l h))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 h D))) |
(/.f64 D (/.f64 l h)) |
Compiled 39 474 to 5 002 computations (87.3% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 942 | 20 | 962 |
| Fresh | 9 | 2 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 1 | 2 |
| Total | 955 | 25 | 980 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.1% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64)))) |
| 81.5% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) D)) M) d) l) #s(literal 1 binary64)))) | |
| ✓ | 81.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)))) |
| 81.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h M)) (*.f64 l d)) #s(literal 1 binary64)))) | |
| 75.8% | (*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) #s(literal 2 binary64)) (/.f64 h l))))) | |
| 71.4% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D l) (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 D d) M) (/.f64 M d))) #s(literal 1 binary64))))) | |
| 69.0% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 D M) d)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) | |
| ▶ | 69.7% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
| 75.6% | (*.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 (*.f64 M M) d) D) D) (*.f64 l d)) #s(literal 1 binary64))))) | |
| 74.5% | (*.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 (*.f64 M M) D) (/.f64 D d)) (*.f64 l d)) #s(literal 1 binary64))))) | |
| ✓ | 72.2% | (*.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 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
| 74.7% | (*.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 D M) (*.f64 D M)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) | |
| 70.5% | (*.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 M (*.f64 (*.f64 D M) D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) | |
| ✓ | 66.5% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 72.1% | #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)) | |
| 60.6% | #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 (*.f64 M M) h) w0) d) (*.f64 l d)) w0)) | |
| 58.9% | #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 (neg.f64 M) M) h) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) | |
| 57.6% | #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) w0) (*.f64 (*.f64 d d) l)) w0)) | |
| 56.5% | #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 h M) M) l) (/.f64 w0 (*.f64 d d))) w0)) | |
| ▶ | 58.4% | #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 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)) |
| ▶ | 55.6% | #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 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
| 68.5% | #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)) | |
| 63.8% | #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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) l) (/.f64 h (*.f64 d d))) w0))) | |
| ▶ | 54.7% | #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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) |
| 12.9% | #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 (*.f64 w0 h) l) (/.f64 (/.f64 (*.f64 M M) d) d))))) |
Compiled 1 768 to 1 305 computations (26.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h) | |
| cost-diff | 0 | #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h)) | |
| cost-diff | 0 | #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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d 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 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d 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 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d 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 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #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) d) (/.f64 w0 (*.f64 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 M M) h) d) (/.f64 w0 (*.f64 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 d) l))) 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 d) l))) w0)) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) d) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 711 |
| 0 | 119 | 711 |
| 1 | 249 | 709 |
| 2 | 829 | 709 |
| 3 | 3777 | 709 |
| 4 | 5240 | 709 |
| 5 | 6187 | 709 |
| 6 | 7107 | 709 |
| 0 | 8031 | 709 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64)))) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
d |
(*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) |
(*.f64 D M) |
D |
M |
(*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)) |
(/.f64 #s(literal -1/2 binary64) l) |
#s(literal -1/2 binary64) |
l |
(/.f64 (*.f64 (*.f64 D M) h) d) |
(*.f64 (*.f64 D M) h) |
h |
#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 d) l))) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) 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 d) l))) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
(/.f64 w0 (*.f64 (*.f64 d d) l)) |
w0 |
(*.f64 (*.f64 d d) l) |
(*.f64 d 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) d) (/.f64 w0 (*.f64 l d))) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 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 M M) h) d) (/.f64 w0 (*.f64 l d))) |
(/.f64 (*.f64 (*.f64 M M) h) d) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
d |
(/.f64 w0 (*.f64 l d)) |
w0 |
(*.f64 l d) |
l |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d 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 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 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 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) |
(*.f64 (*.f64 M M) D) |
(*.f64 M M) |
M |
D |
(*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) |
(/.f64 D (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 d d) l) |
(*.f64 d d) |
d |
l |
(*.f64 #s(literal -1/4 binary64) h) |
#s(literal -1/4 binary64) |
h |
#s(literal 1 binary64) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) |
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h)) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 d d)) |
#s(literal -1/8 binary64) |
(*.f64 d d) |
d |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) |
(*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) |
(*.f64 (*.f64 (*.f64 D M) M) D) |
(*.f64 (*.f64 D M) M) |
(*.f64 D M) |
D |
M |
w0 |
l |
(/.f64 w0 h) |
h |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M D)) d) M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64))) w0) |
w0 |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M D)) d) M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M D)) d) M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
d |
(*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) |
(*.f64 (*.f64 (/.f64 (*.f64 h (*.f64 M D)) d) M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) D)) |
(*.f64 D M) |
(*.f64 M D) |
D |
M |
(*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)) |
(*.f64 (/.f64 (/.f64 (*.f64 h (*.f64 M D)) d) l) #s(literal -1/2 binary64)) |
(/.f64 #s(literal -1/2 binary64) l) |
#s(literal -1/2 binary64) |
l |
(/.f64 (*.f64 (*.f64 D M) h) d) |
(/.f64 (*.f64 h (*.f64 M D)) d) |
(*.f64 (*.f64 D M) h) |
(*.f64 h (*.f64 M D)) |
h |
#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 d) l))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) d) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) w0) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0) |
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) d) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) w0) 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 d) l))) |
(*.f64 (/.f64 (/.f64 (*.f64 M M) l) d) (*.f64 (/.f64 h d) w0)) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
(/.f64 w0 (*.f64 (*.f64 d d) l)) |
w0 |
(*.f64 (*.f64 d d) l) |
(*.f64 d 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) d) (/.f64 w0 (*.f64 l d))) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) d) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) w0) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0) |
(fma.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) d) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) w0) 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) d) (/.f64 w0 (*.f64 l d))) |
(*.f64 (/.f64 (/.f64 (*.f64 M M) l) d) (*.f64 (/.f64 h d) w0)) |
(/.f64 (*.f64 (*.f64 M M) h) d) |
(*.f64 (*.f64 M M) h) |
(*.f64 M M) |
M |
h |
d |
(/.f64 w0 (*.f64 l d)) |
w0 |
(*.f64 l d) |
l |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d 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 (/.f64 (*.f64 (*.f64 M M) D) l) d) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d) #s(literal 1 binary64)))) w0) |
w0 |
(sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d 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 (*.f64 (*.f64 M M) D) l) d) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 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 (/.f64 (*.f64 (*.f64 M M) D) l) d) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 M M) D) l) d) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d) #s(literal 1 binary64)) |
(*.f64 (*.f64 M M) D) |
(*.f64 M M) |
M |
D |
(*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) |
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) D) l) d) (/.f64 h d)) |
(/.f64 D (*.f64 (*.f64 d d) l)) |
(*.f64 (*.f64 d d) l) |
(*.f64 d d) |
d |
l |
(*.f64 #s(literal -1/4 binary64) h) |
#s(literal -1/4 binary64) |
h |
#s(literal 1 binary64) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) |
#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 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/8 binary64)) d) (/.f64 w0 (*.f64 l d)) (/.f64 w0 h)) h))) |
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h)) |
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/8 binary64)) d) (/.f64 w0 (*.f64 l d)) (/.f64 w0 h)) h)) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/8 binary64)) d) (/.f64 w0 (*.f64 l d)) (/.f64 w0 h)) h) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) #s(literal -1/8 binary64)) d) (/.f64 w0 (*.f64 l d)) (/.f64 w0 h)) |
(/.f64 #s(literal -1/8 binary64) (*.f64 d d)) |
#s(literal -1/8 binary64) |
(*.f64 d d) |
d |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) w0) l) |
(*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) |
(*.f64 (*.f64 (*.f64 (*.f64 M M) D) D) w0) |
(*.f64 (*.f64 (*.f64 D M) M) D) |
(*.f64 (*.f64 (*.f64 M M) D) D) |
(*.f64 (*.f64 D M) M) |
(*.f64 (*.f64 M M) D) |
(*.f64 D M) |
(*.f64 M D) |
D |
M |
w0 |
l |
(/.f64 w0 h) |
h |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.688796065472529 | (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) | |
| accuracy | 12.162675274451177 | (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h) | |
| accuracy | 12.848424251903326 | (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) | |
| accuracy | 13.638450977254832 | #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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) | |
| accuracy | 6.037921176972635 | (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) | |
| accuracy | 6.965901458405888 | (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) | |
| accuracy | 7.886190132058807 | (*.f64 (*.f64 M M) D) | |
| accuracy | 9.56161854214414 | (*.f64 (*.f64 d d) l) | |
| accuracy | 8.456505420597667 | (*.f64 (*.f64 M M) h) | |
| accuracy | 8.972476746022542 | (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) | |
| accuracy | 13.638450977254832 | #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) d) (/.f64 w0 (*.f64 l d))) w0)) | |
| accuracy | 13.674611300017583 | (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0) | |
| accuracy | 9.56161854214414 | (*.f64 (*.f64 d d) l) | |
| accuracy | 13.638450977254832 | #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 d) l))) w0)) | |
| accuracy | 13.674611300017583 | (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0) | |
| accuracy | 14.424490803359271 | (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) | |
| accuracy | 3.851407947104453 | (/.f64 (*.f64 (*.f64 D M) h) d) | |
| accuracy | 4.314663268163243 | (*.f64 (*.f64 D M) h) | |
| accuracy | 5.648950588194421 | (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64))) | |
| accuracy | 6.034244432141132 | (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)) |
| 134.0ms | 256× | 0 | valid |
Compiled 1 265 to 147 computations (88.4% saved)
ival-mult: 51.0ms (55.4% of total)ival-div: 25.0ms (27.1% of total)ival-add: 7.0ms (7.6% of total)ival-pow2: 4.0ms (4.3% of total)ival-sqrt: 3.0ms (3.3% of total)ival-sub: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/2 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 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) 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 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d 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 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 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 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) |
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h)) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)) |
(*.f64 (*.f64 D M) h) |
(/.f64 (*.f64 (*.f64 D M) h) d) |
(*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) |
(*.f64 (*.f64 d d) l) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) |
(*.f64 (*.f64 M M) h) |
(*.f64 (*.f64 M M) D) |
(*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) |
| Outputs |
|---|
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* 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))))) |
(* h (* w0 (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* w0 (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) l) |
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
(* -1 (* h (* w0 (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
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)))) |
(/ w0 h) |
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* D (* M h)) |
(/ (* D (* M h)) d) |
(* (pow M 2) h) |
(* D (pow M 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) (+ (* -1/4 (/ (* (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)))) |
(* (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) w0)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) w0) (* (pow d 2) l))) (/ w0 (* (pow M 2) h)))) |
(* -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) |
(* -1/4 (/ (* D h) (* (pow d 2) 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) (+ (* -1/4 (/ (* (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)))) |
(* (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) w0) (* (pow d 2) l))) (/ w0 (* (pow D 2) h)))) |
(* -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))))))))) |
(/ (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) h) |
(* 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 (+ (* -1/4 (/ (* (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))) |
(* 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))))))))) |
(* -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) |
(/ (+ (* -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) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (pow d 2))) (/ (* l w0) h)) l) |
(* (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) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ 1/2 d) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) l)) (/ (* (pow d 2) w0) h)) (pow d 2)) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | w0 | @ | -inf | ((* w0 (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1))) (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1) (/ 1/2 d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d d) l)))) 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) d) (/ w0 (* l d)))) w0) (* 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))) (+ (* (* (* M M) D) (* (/ D (* (* d d) l)) (* -1/4 h))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) h) (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (* (/ -1/2 l) (/ (* (* D M) h) d)) (* (* D M) h) (/ (* (* D M) h) d) (* (* (* M M) h) (/ w0 (* (* d d) l))) (* (* d d) l) (* (/ (* (* M M) h) d) (/ w0 (* l d))) (* (* M M) h) (* (* M M) D) (* (/ D (* (* d d) l)) (* -1/4 h)) (/ (* (* (* (* D M) M) D) w0) l)) |
| 9.0ms | M | @ | -inf | ((* w0 (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1))) (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1) (/ 1/2 d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d d) l)))) 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) d) (/ w0 (* l d)))) w0) (* 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))) (+ (* (* (* M M) D) (* (/ D (* (* d d) l)) (* -1/4 h))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) h) (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (* (/ -1/2 l) (/ (* (* D M) h) d)) (* (* D M) h) (/ (* (* D M) h) d) (* (* (* M M) h) (/ w0 (* (* d d) l))) (* (* d d) l) (* (/ (* (* M M) h) d) (/ w0 (* l d))) (* (* M M) h) (* (* M M) D) (* (/ D (* (* d d) l)) (* -1/4 h)) (/ (* (* (* (* D M) M) D) w0) l)) |
| 8.0ms | D | @ | inf | ((* w0 (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1))) (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1) (/ 1/2 d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d d) l)))) 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) d) (/ w0 (* l d)))) w0) (* 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))) (+ (* (* (* M M) D) (* (/ D (* (* d d) l)) (* -1/4 h))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) h) (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (* (/ -1/2 l) (/ (* (* D M) h) d)) (* (* D M) h) (/ (* (* D M) h) d) (* (* (* M M) h) (/ w0 (* (* d d) l))) (* (* d d) l) (* (/ (* (* M M) h) d) (/ w0 (* l d))) (* (* M M) h) (* (* M M) D) (* (/ D (* (* d d) l)) (* -1/4 h)) (/ (* (* (* (* D M) M) D) w0) l)) |
| 7.0ms | l | @ | inf | ((* w0 (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1))) (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1) (/ 1/2 d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d d) l)))) 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) d) (/ w0 (* l d)))) w0) (* 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))) (+ (* (* (* M M) D) (* (/ D (* (* d d) l)) (* -1/4 h))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) h) (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (* (/ -1/2 l) (/ (* (* D M) h) d)) (* (* D M) h) (/ (* (* D M) h) d) (* (* (* M M) h) (/ w0 (* (* d d) l))) (* (* d d) l) (* (/ (* (* M M) h) d) (/ w0 (* l d))) (* (* M M) h) (* (* M M) D) (* (/ D (* (* d d) l)) (* -1/4 h)) (/ (* (* (* (* D M) M) D) w0) l)) |
| 6.0ms | D | @ | -inf | ((* w0 (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1))) (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1) (/ 1/2 d) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (* (* M M) h) (/ w0 (* (* d d) l)))) 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) d) (/ w0 (* l d)))) w0) (* 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))) (+ (* (* (* M M) D) (* (/ D (* (* d d) l)) (* -1/4 h))) 1) (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (* (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) h) (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (* (/ -1/2 l) (/ (* (* D M) h) d)) (* (* D M) h) (/ (* (* D M) h) d) (* (* (* M M) h) (/ w0 (* (* d d) l))) (* (* d d) l) (* (/ (* (* M M) h) d) (/ w0 (* l d))) (* (* M M) h) (* (* M M) D) (* (/ D (* (* d d) l)) (* -1/4 h)) (/ (* (* (* (* D M) M) D) w0) l)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 711 | 5128 |
| 1 | 2440 | 5091 |
| 2 | 7978 | 5091 |
| 0 | 8035 | 4924 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* w0 (sqrt (+ 1 (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))))) |
(* 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))))) |
(* h (* w0 (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* w0 (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(/ (* (pow D 2) (* (pow M 2) w0)) l) |
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
(* -1 (* h (* w0 (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
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)))) |
(/ w0 h) |
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(* D (* M h)) |
(/ (* D (* M h)) d) |
(* (pow M 2) h) |
(* D (pow M 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) (+ (* -1/4 (/ (* (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)))) |
(* (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) w0)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) w0) (* (pow d 2) l))) (/ w0 (* (pow M 2) h)))) |
(* -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) |
(* -1/4 (/ (* D h) (* (pow d 2) 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) (+ (* -1/4 (/ (* (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)))) |
(* (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) w0) (* (pow d 2) l))) (/ w0 (* (pow D 2) h)))) |
(* -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))))))))) |
(/ (+ w0 (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l)))) h) |
(* 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 (+ (* -1/4 (/ (* (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))) |
(* 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))))))))) |
(* -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) |
(/ (+ (* -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) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (pow d 2))) (/ (* l w0) h)) l) |
(* (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) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ 1/2 d) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) l)) (/ (* (pow d 2) w0) 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 (*.f64 M D) (*.f64 M D)) (/.f64 h l)) #s(literal 1 binary64))) w0) |
(* 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 (*.f64 M D) (*.f64 M D)) (/.f64 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 (*.f64 M D) (*.f64 M D)) (/.f64 h l)) #s(literal 1 binary64)) w0) |
(* h (* w0 (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(*.f64 (*.f64 h w0) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h))) |
(* w0 (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)) w0) |
(/ (* (pow M 2) (* h w0)) (* (pow d 2) l)) |
(*.f64 (*.f64 h (/.f64 (*.f64 M M) l)) (/.f64 w0 (*.f64 d d))) |
(/ (* (pow D 2) (* (pow M 2) w0)) l) |
(*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)) |
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) 1))) |
(*.f64 (neg.f64 w0) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 h l)) #s(literal -1 binary64))) |
(* -1 (* h (* w0 (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))))) |
(*.f64 (neg.f64 (*.f64 h w0)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) (/.f64 #s(literal -1 binary64) h))) |
(* -1 (* w0 (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(*.f64 (neg.f64 w0) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) (/.f64 #s(literal -1 binary64) h))) |
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 (*.f64 (*.f64 M M) h) w0) (/.f64 (*.f64 D D) 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 -1/8 binary64) l) (*.f64 (/.f64 (*.f64 (*.f64 D D) h) d) (/.f64 w0 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 -1/1024 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 h h) (pow.f64 D #s(literal 4 binary64))) (/.f64 w0 (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 (*.f64 M D) (*.f64 M D)) (/.f64 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 -1/1024 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 h h) (/.f64 (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)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 h l)) #s(literal 1 binary64)) |
(/ w0 h) |
(/.f64 w0 h) |
(+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) (/ w0 h)) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)) (/.f64 w0 h)) |
(* -1/2 (/ (* D (* M h)) (* d l))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 h M) D) d)) |
(* D (* M h)) |
(*.f64 (*.f64 h M) D) |
(/ (* D (* M h)) d) |
(/.f64 (*.f64 (*.f64 h M) D) d) |
(* (pow M 2) h) |
(*.f64 (*.f64 M M) h) |
(* D (pow M 2)) |
(*.f64 (*.f64 M M) D) |
(* (/ (* 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 d (/.f64 w0 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 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 d (/.f64 w0 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 (*.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 -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 d (/.f64 w0 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 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 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))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.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 -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 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) |
(* -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 (*.f64 M D) (*.f64 M D)) (/.f64 h l))) |
(* (pow M 2) (+ (* -1/4 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) l)) (*.f64 M M) #s(literal 1 binary64)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (* (pow d 2) l))) |
(*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (/.f64 (*.f64 D D) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) (* h w0)) (* (pow d 2) l))) (/ w0 (pow M 2)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 D D) h) l) (/.f64 w0 (*.f64 d d))) #s(literal -1/8 binary64) (/.f64 w0 (*.f64 M M))) (*.f64 M M)) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/4 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) h) l)) (*.f64 M M) #s(literal 1 binary64)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (* (pow d 2) l))) |
(*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) w0) (* (pow d 2) l))) (/ w0 (* (pow M 2) h)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 D D) w0) l) (/.f64 (/.f64 w0 (*.f64 M M)) h)) (*.f64 M M)) |
(* -1 (* (/ (* D (* M (* w0 (sqrt -1/4)))) d) (sqrt (/ h l)))) |
(*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) w0) M) D) d)) (sqrt.f64 (/.f64 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)))))) |
(*.f64 (neg.f64 M) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 d (/.f64 w0 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))))) |
(* -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))))))) |
(*.f64 (neg.f64 M) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 d (/.f64 w0 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)))))) |
(* -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)))))))) |
(*.f64 (neg.f64 M) (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 -1/8 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) w0)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) (pow.f64 M #s(literal 4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 d (/.f64 w0 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))))))) |
(* -1 (* (/ (* D (* M (sqrt -1/4))) d) (sqrt (/ h l)))) |
(*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d)) (sqrt.f64 (/.f64 h l))) |
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(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) 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) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 l (pow.f64 h #s(literal 3 binary64)))))) (*.f64 l l) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) 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) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 d #s(literal 5 binary64))) (*.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 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 5 binary64)) l))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 d #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 h #s(literal 3 binary64)))))) (*.f64 l l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 d (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) l)))) (*.f64 l l) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D) d))) l) |
(/ (+ l (* -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 (*.f64 M D) (*.f64 M D)) (/.f64 h l)) #s(literal 1 binary64)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) (pow d 2))) (* l w0)) l) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) #s(literal -1/8 binary64) (*.f64 l w0)) l) |
(/ (- l (* 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 (*.f64 M D) (*.f64 M D)) (/.f64 h l)) #s(literal 1 binary64)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) (pow d 2))) (/ (* l w0) h)) l) |
(/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) w0) d) (/.f64 (*.f64 D D) d)) #s(literal -1/8 binary64) (*.f64 l (/.f64 w0 h))) l) |
(* (pow d 2) l) |
(*.f64 (*.f64 d d) 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)))))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (/.f64 (*.f64 D D) l)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))) w0)) |
(+ 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))))))) |
(+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (/.f64 (*.f64 D D) l)) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))))) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (pow.f64 D #s(literal 6 binary64))) (pow.f64 d #s(literal 6 binary64))) w0)) |
(+ 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)))))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 h l)) (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.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 binary64))) |
(+ 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))))))) |
(+.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 h l)) (*.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 l l)) (/.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))))) (fma.f64 (/.f64 #s(literal -1/1024 binary64) (pow.f64 l #s(literal 3 binary64))) (/.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))) #s(literal 1 binary64))) |
(+ 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))) |
(-.f64 w0 (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) l) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 4 binary64)) (pow.f64 D #s(literal 4 binary64))) (*.f64 (*.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) d) (/.f64 (*.f64 D D) d)) #s(literal 1/8 binary64))) 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))) |
(-.f64 w0 (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) d) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 D D)) d) (/.f64 (fma.f64 (/.f64 #s(literal -1/1024 binary64) l) (/.f64 (*.f64 (*.f64 (pow.f64 M #s(literal 6 binary64)) (*.f64 (pow.f64 h #s(literal 3 binary64)) w0)) (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 (*.f64 h h) w0)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1/128 binary64))) (neg.f64 l))) 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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/128 binary64) l) (/.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))) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 D D) d)) #s(literal 1/8 binary64))) 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))) |
(-.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 w0 (*.f64 d (/.f64 d 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)) (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 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 (*.f64 #s(literal -1/8 binary64) (/.f64 w0 (pow.f64 D #s(literal 3 binary64)))) (*.f64 (pow.f64 M #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 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 #s(literal 1/2 binary64) (*.f64 d (/.f64 d (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)))) (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 (sqrt.f64 (/.f64 l h)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) M) D)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))))) (*.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 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 h #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 M #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal -1/4 binary64))) (pow.f64 D #s(literal 3 binary64)))) #s(literal -1/8 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) |
(/ (+ (* -1/4 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 h l)) #s(literal 1 binary64)) |
(/ 1/2 d) |
(/.f64 #s(literal 1/2 binary64) d) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) (* h w0))) l)) (* (pow d 2) w0)) (pow d 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (/.f64 (*.f64 D D) l)) #s(literal -1/8 binary64) (*.f64 (*.f64 d d) w0)) (*.f64 d d)) |
(/ (- (pow d 2) (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 h l)) #s(literal 1 binary64)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) w0)) l)) (/ (* (pow d 2) w0) h)) (pow d 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)) #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 d d) w0) h)) (*.f64 d d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 552 |
| 0 | 119 | 550 |
| 1 | 434 | 536 |
| 2 | 3157 | 536 |
| 0 | 8603 | 532 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1/2 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 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) 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 M M) h) d) (/.f64 w0 (*.f64 l d))) w0)) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) w0) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d 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 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 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 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64)) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) |
#s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h)) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d)) |
(*.f64 (*.f64 D M) h) |
(/.f64 (*.f64 (*.f64 D M) h) d) |
(*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d d) l))) |
(*.f64 (*.f64 d d) l) |
(*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 w0 (*.f64 l d))) |
(*.f64 (*.f64 M M) h) |
(*.f64 (*.f64 M M) D) |
(*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64))) w0) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d))))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d))))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d))) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) d) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) d) (/.f64 (*.f64 h (*.f64 M D)) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 M) (*.f64 h M))) (*.f64 (/.f64 (*.f64 l d) w0) (neg.f64 d))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (/.f64 (*.f64 d d) w0) l)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 M M) h)) (*.f64 (/.f64 (*.f64 l d) w0) d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 M M) h)) (*.f64 l (/.f64 (*.f64 d d) w0))) |
(/.f64 (*.f64 w0 (*.f64 (neg.f64 M) (*.f64 h M))) (*.f64 (*.f64 l d) (neg.f64 d))) |
(/.f64 (*.f64 w0 (*.f64 (neg.f64 M) (*.f64 h M))) (*.f64 (neg.f64 d) (*.f64 l d))) |
(/.f64 (*.f64 w0 #s(literal 1 binary64)) (*.f64 (*.f64 d d) (/.f64 l (*.f64 (*.f64 M M) h)))) |
(/.f64 (*.f64 w0 #s(literal 1 binary64)) (*.f64 (*.f64 l d) (/.f64 d (*.f64 (*.f64 M M) h)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) (/.f64 w0 l)) (*.f64 (neg.f64 d) d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) (neg.f64 w0)) (*.f64 (neg.f64 l) (*.f64 (neg.f64 d) d))) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) (neg.f64 w0)) (*.f64 (neg.f64 d) (*.f64 (neg.f64 d) l))) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) #s(literal 1 binary64)) (*.f64 (neg.f64 l) (/.f64 (*.f64 d d) w0))) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) #s(literal 1 binary64)) (*.f64 (neg.f64 d) (/.f64 (*.f64 l d) w0))) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) (*.f64 h M)) w0) (*.f64 (neg.f64 d) (*.f64 l d))) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (/.f64 w0 l)) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) (neg.f64 w0)) (*.f64 (neg.f64 d) (*.f64 l d))) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal 1 binary64)) (*.f64 l (/.f64 (*.f64 d d) w0))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 w0 l)) (*.f64 (/.f64 d (*.f64 (*.f64 M M) h)) d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 w0)) (*.f64 (/.f64 l (*.f64 (*.f64 M M) h)) (*.f64 (neg.f64 d) d))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 w0)) (*.f64 (/.f64 d (*.f64 (*.f64 M M) h)) (*.f64 (neg.f64 d) l))) |
(/.f64 (*.f64 #s(literal 1 binary64) w0) (*.f64 (/.f64 l (*.f64 (*.f64 M M) h)) (*.f64 d d))) |
(/.f64 (*.f64 #s(literal 1 binary64) w0) (*.f64 (/.f64 d (*.f64 (*.f64 M M) h)) (*.f64 l d))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (pow.f64 d #s(literal -2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 (*.f64 M M) h))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 d d) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) w0)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 l d) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) w0)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 d d) l) (*.f64 (*.f64 (*.f64 M M) h) w0)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 d d) w0) (/.f64 l (*.f64 (*.f64 M M) h))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 l (*.f64 (*.f64 M M) h)) (/.f64 (*.f64 d d) w0)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 l d) w0) (/.f64 d (*.f64 (*.f64 M M) h))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 d (*.f64 (*.f64 M M) h)) (/.f64 (*.f64 l d) w0)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (pow.f64 d #s(literal -2 binary64))) l) |
(/.f64 (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 (*.f64 M M) h)) d) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) w0) (*.f64 d d)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) w0) (*.f64 l d)) |
(/.f64 (*.f64 (neg.f64 M) (*.f64 h M)) (neg.f64 (*.f64 l (/.f64 (*.f64 d d) w0)))) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (*.f64 (*.f64 d d) l)) |
(/.f64 (/.f64 w0 (*.f64 d d)) (/.f64 l (*.f64 (*.f64 M M) h))) |
(/.f64 (/.f64 (*.f64 (*.f64 M M) h) l) (/.f64 (*.f64 d d) w0)) |
(/.f64 (/.f64 w0 (*.f64 l d)) (/.f64 d (*.f64 (*.f64 M M) h))) |
(/.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (/.f64 (*.f64 l d) w0)) |
(/.f64 (*.f64 (*.f64 M M) h) (*.f64 l (/.f64 (*.f64 d d) w0))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (*.f64 (*.f64 (*.f64 M M) h) w0) (pow.f64 d #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 (*.f64 M M) h)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) w0))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l d) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) d) w0))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) l) (*.f64 (*.f64 (*.f64 M M) h) w0))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 d d) w0) (/.f64 l (*.f64 (*.f64 M M) h)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 (*.f64 M M) h)) (/.f64 (*.f64 d d) w0))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 l d) w0) (/.f64 d (*.f64 (*.f64 M M) h)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 d (*.f64 (*.f64 M M) h)) (/.f64 (*.f64 l d) w0))) |
(*.f64 (*.f64 h M) M) |
(*.f64 (*.f64 M M) h) |
(*.f64 h (*.f64 M M)) |
(*.f64 M (*.f64 h M)) |
(*.f64 (*.f64 M M) D) |
(*.f64 (*.f64 M D) M) |
(*.f64 M (*.f64 M D)) |
(*.f64 D (*.f64 M M)) |
(*.f64 (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) h) #s(literal -1/4 binary64)) |
(*.f64 (/.f64 D l) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 d d))) |
(*.f64 (*.f64 D (pow.f64 d #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) h) l)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) (/.f64 (pow.f64 d #s(literal -2 binary64)) l)) |
(*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 D (*.f64 (*.f64 d d) l))) h) |
(*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 l d))) |
(*.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 D (*.f64 (*.f64 d d) l))) |
(*.f64 #s(literal -1/4 binary64) (*.f64 h (/.f64 D (*.f64 (*.f64 d d) l)))) |
(*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) |
(*.f64 h (*.f64 #s(literal -1/4 binary64) (/.f64 D (*.f64 (*.f64 d d) l)))) |
(*.f64 D (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 d d) l))) |
(*.f64 D (*.f64 (/.f64 (pow.f64 d #s(literal -2 binary64)) l) (*.f64 #s(literal -1/4 binary64) h))) |
(pow.f64 (/.f64 (*.f64 (*.f64 d d) l) (*.f64 (*.f64 #s(literal -1/4 binary64) h) D)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) (*.f64 d d))) (neg.f64 l)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) l)) (*.f64 (neg.f64 d) d)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d)) (*.f64 (neg.f64 d) l)) |
(/.f64 (neg.f64 (*.f64 (*.f64 D (pow.f64 d #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) h))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 D) (*.f64 #s(literal -1/4 binary64) h))) (neg.f64 (*.f64 (neg.f64 d) (*.f64 l d)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) h))) (neg.f64 (/.f64 (*.f64 (*.f64 d d) l) D))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 D (pow.f64 d #s(literal -2 binary64))))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (neg.f64 D))) (neg.f64 (*.f64 (neg.f64 d) (*.f64 l d)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 d d) l) D))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D))) (neg.f64 (*.f64 (neg.f64 d) (*.f64 l d)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) h)) (neg.f64 (/.f64 (*.f64 (*.f64 d d) l) D))) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) (*.f64 d d)) l) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) l) (*.f64 d d)) |
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d) (*.f64 l d)) |
(/.f64 (*.f64 (*.f64 D (pow.f64 d #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) h)) l) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 #s(literal -1/4 binary64) h)) (*.f64 (neg.f64 d) (*.f64 l d))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) h)) (/.f64 (*.f64 (*.f64 d d) l) D)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 D (pow.f64 d #s(literal -2 binary64)))) l) |
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (neg.f64 D)) (*.f64 (neg.f64 d) (*.f64 l d))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 d d) l) D)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D)) (*.f64 (neg.f64 d) (*.f64 l d))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 d d) l) (*.f64 (*.f64 #s(literal -1/4 binary64) h) D)))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) (*.f64 (*.f64 d d) l)) |
(/.f64 (*.f64 #s(literal -1/4 binary64) h) (/.f64 (*.f64 (*.f64 d d) l) D)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) l) (*.f64 (*.f64 #s(literal -1/4 binary64) h) D))) |
(*.f64 (/.f64 w0 l) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0)) |
(*.f64 (*.f64 (neg.f64 w0) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (pow.f64 (neg.f64 l) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (/.f64 w0 l)) |
(*.f64 (*.f64 (*.f64 M M) D) (/.f64 (*.f64 D w0) l)) |
(*.f64 (*.f64 (*.f64 M M) D) (*.f64 (*.f64 D w0) (pow.f64 l #s(literal -1 binary64)))) |
(*.f64 (*.f64 (*.f64 M M) D) (*.f64 D (/.f64 w0 l))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0) l)) |
(*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 w0 l))) |
(*.f64 D (*.f64 (*.f64 (*.f64 M M) D) (/.f64 w0 l))) |
(*.f64 w0 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l)) |
(*.f64 w0 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) (pow.f64 l #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 w0) (pow.f64 (*.f64 M D) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (neg.f64 l)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0) #s(literal 1 binary64))) (neg.f64 l)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 w0) (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) (neg.f64 (neg.f64 l))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0) #s(literal 1 binary64)) l) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0)))) |
(/.f64 (*.f64 (neg.f64 w0) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (neg.f64 l)) |
(/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0) l) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 w0) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) l)) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0) (neg.f64 l))) |
(exp.f64 (*.f64 (log.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0))) #s(literal -1 binary64))) |
Compiled 40 670 to 4 231 computations (89.6% saved)
37 alts after pruning (34 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 813 | 20 | 833 |
| Fresh | 3 | 14 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 821 | 37 | 858 |
| Status | Accuracy | Program |
|---|---|---|
| 81.8% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal -1/2 binary64)) (*.f64 l d))) #s(literal 1 binary64)))) | |
| 85.1% | (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 h (*.f64 M D)))))) #s(literal 1 binary64)))) | |
| 81.5% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) D)) M) d) l) #s(literal 1 binary64)))) | |
| 81.0% | (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h M)) (*.f64 l d)) #s(literal 1 binary64)))) | |
| 71.4% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D l) (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 D d) M) (/.f64 M d))) #s(literal 1 binary64))))) | |
| 69.0% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 D M) d)) (*.f64 (/.f64 D l) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) | |
| 68.9% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d) (*.f64 l d)) #s(literal 1 binary64))))) | |
| 67.9% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (neg.f64 D)) (*.f64 (neg.f64 d) (*.f64 l d))) #s(literal 1 binary64))))) | |
| ✓ | 69.7% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
| 70.4% | (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 l d))) #s(literal 1 binary64))))) | |
| 75.6% | (*.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 (*.f64 M M) d) D) D) (*.f64 l d)) #s(literal 1 binary64))))) | |
| ✓ | 72.2% | (*.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 (*.f64 M M) D) D) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) |
| 74.7% | (*.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 D M) (*.f64 D M)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) | |
| 70.5% | (*.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 M (*.f64 (*.f64 D M) D)) (*.f64 (*.f64 l d) d)) #s(literal 1 binary64))))) | |
| ✓ | 66.5% | (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
| 62.2% | (*.f64 w0 #s(approx (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 h l)) #s(literal 1 binary64)))) | |
| 55.3% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) | |
| 72.1% | #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)) | |
| 70.0% | #s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) | |
| 60.6% | #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 (*.f64 M M) h) w0) d) (*.f64 l d)) w0)) | |
| 58.9% | #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 (neg.f64 M) M) h) w0) (*.f64 (*.f64 (neg.f64 d) l) d)) w0)) | |
| 57.6% | #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) w0) (*.f64 (*.f64 d d) l)) w0)) | |
| 59.3% | #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 (neg.f64 M) (*.f64 h M)) w0) (*.f64 (neg.f64 d) (*.f64 l d))) w0)) | |
| 58.9% | #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 h M) M) d) (/.f64 w0 (*.f64 l d))) w0)) | |
| 57.0% | #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 w0 (*.f64 l d)) (*.f64 M M)) (/.f64 h d)) w0)) | |
| 56.5% | #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 M M) h) (/.f64 w0 (*.f64 (*.f64 l d) d))) w0)) | |
| 56.7% | #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 M (*.f64 (*.f64 h M) (/.f64 w0 (*.f64 (*.f64 d d) l)))) w0)) | |
| 55.8% | #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 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) h))) w0)) | |
| 68.5% | #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)) | |
| 63.8% | #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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) l) (/.f64 h (*.f64 d d))) w0))) | |
| 53.2% | #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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 w0 l))) (/.f64 w0 h)) h))) | |
| 28.9% | #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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (exp.f64 (*.f64 (log.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0))) #s(literal -1 binary64))) (/.f64 w0 h)) h))) | |
| 58.1% | #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 (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0) l) d) (/.f64 w0 h)) h))) | |
| 12.9% | #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 (*.f64 w0 h) l) (/.f64 (/.f64 (*.f64 M M) d) d))))) | |
| 51.3% | #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 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (/.f64 w0 h)) h))) | |
| 13.5% | #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 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)))) h))) | |
| 54.3% | #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) #s(approx (* (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) h) (*.f64 (*.f64 h w0) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)))))) |
Compiled 4 141 to 1 641 computations (60.4% 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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (/.f64 w0 h)) h))) |
#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 d d) l)) 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 M (*.f64 (*.f64 h M) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 l 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) w0) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) 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 (neg.f64 M) (*.f64 h M)) w0) (*.f64 (neg.f64 d) (*.f64 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 (neg.f64 M) M) h) w0) (*.f64 (*.f64 (neg.f64 d) l) 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 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)))) h))) |
#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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) l) (/.f64 h (*.f64 d d))) 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 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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 M M)) (/.f64 h 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) d) (/.f64 w0 (*.f64 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) 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 h M) M) d) (/.f64 w0 (*.f64 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 h M) M) 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 (*.f64 M M) h) w0) d) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 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)) (*.f64 M (*.f64 (*.f64 D M) (/.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 M (*.f64 (*.f64 D M) 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 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 D D) M) M) (*.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 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))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
#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) #s(approx (* (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) h) (*.f64 (*.f64 h w0) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)))))) |
#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 (*.f64 w0 h) l) (/.f64 (/.f64 (*.f64 M M) d) d))))) |
#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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (neg.f64 D)) (*.f64 (neg.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 M) d) (/.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 (*.f64 (*.f64 M M) D) 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 (*.f64 M M) D) (/.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 (*.f64 (/.f64 (*.f64 M M) d) 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 (*.f64 M M) D) (*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.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 (*.f64 M M) D) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d) (*.f64 l d)) #s(literal 1 binary64))))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 w0 l))) (/.f64 w0 h)) h))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h M)) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal -1/2 binary64)) (*.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 (/.f64 M d) (/.f64 (*.f64 D M) 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))) (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))) (fma.f64 (/.f64 D l) (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 D d) M) (/.f64 M d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) D)) M) d) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) D) (*.f64 (*.f64 (neg.f64 M) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 h (*.f64 M D)))))) #s(literal 1 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 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) h) d) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 l d)) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) #s(literal 2 binary64)) (/.f64 h l))))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0) l) d) (/.f64 w0 h)) h))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) d) (/.f64 h l)) d)))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) l) (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1 binary64))))))) |
(*.f64 w0 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 M l) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 2 binary64)) M) (pow.f64 h #s(literal -1 binary64))))))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (exp.f64 (*.f64 (log.f64 (/.f64 l (*.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) w0))) #s(literal -1 binary64))) (/.f64 w0 h)) h))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64)))) |
15 calls:
| 58.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 53.0ms | M |
| 43.0ms | (*.f64 #s(literal 2 binary64) d) |
| 33.0ms | h |
| 25.0ms | (*.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))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.2% | 1 | w0 |
| 86.2% | 1 | M |
| 86.2% | 1 | D |
| 86.2% | 1 | h |
| 86.2% | 1 | l |
| 86.2% | 1 | d |
| 88.1% | 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))))) |
| 88.1% | 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)))) |
| 88.1% | 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))) |
| 86.2% | 1 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 86.2% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 86.2% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 86.2% | 1 | (*.f64 M D) |
| 86.2% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 86.2% | 1 | (/.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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (/.f64 w0 h)) h))) |
#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 d d) l)) 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 M (*.f64 (*.f64 h M) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 l 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) w0) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) 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 (neg.f64 M) (*.f64 h M)) w0) (*.f64 (neg.f64 d) (*.f64 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 (neg.f64 M) M) h) w0) (*.f64 (*.f64 (neg.f64 d) l) 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 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)))) h))) |
#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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) l) (/.f64 h (*.f64 d d))) 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 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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 M M)) (/.f64 h 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) d) (/.f64 w0 (*.f64 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) 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 h M) M) d) (/.f64 w0 (*.f64 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 h M) M) 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 (*.f64 M M) h) w0) d) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 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)) (*.f64 M (*.f64 (*.f64 D M) (/.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 M (*.f64 (*.f64 D M) 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 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 D D) M) M) (*.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 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))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
#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) #s(approx (* (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) h) (*.f64 (*.f64 h w0) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)))))) |
#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 (*.f64 w0 h) l) (/.f64 (/.f64 (*.f64 M M) d) d))))) |
#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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (neg.f64 D)) (*.f64 (neg.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 M) d) (/.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 (*.f64 (*.f64 M M) D) 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 (*.f64 M M) D) (/.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 (*.f64 (/.f64 (*.f64 M M) d) 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 (*.f64 M M) D) (*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.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 (*.f64 M M) D) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d) (*.f64 l d)) #s(literal 1 binary64))))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 w0 l))) (/.f64 w0 h)) h))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h M)) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal -1/2 binary64)) (*.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 (/.f64 M d) (/.f64 (*.f64 D M) 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))) (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))) (fma.f64 (/.f64 D l) (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 D d) M) (/.f64 M d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) D)) M) d) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (*.f64 (*.f64 (/.f64 h l) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64)))) |
15 calls:
| 198.0ms | w0 |
| 76.0ms | l |
| 72.0ms | (*.f64 M D) |
| 68.0ms | (*.f64 #s(literal 2 binary64) d) |
| 50.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 1 | D |
| 85.1% | 1 | w0 |
| 85.1% | 1 | h |
| 85.1% | 1 | l |
| 86.7% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 85.1% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 85.1% | 1 | (*.f64 M D) |
| 85.1% | 1 | (/.f64 h l) |
| 85.1% | 1 | M |
| 86.9% | 2 | d |
| 85.1% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 86.9% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 87.5% | 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))))) |
| 87.5% | 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)))) |
| 87.5% | 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))) |
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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (/.f64 w0 h)) h))) |
#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 d d) l)) 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 M (*.f64 (*.f64 h M) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 l 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) w0) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) 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 (neg.f64 M) (*.f64 h M)) w0) (*.f64 (neg.f64 d) (*.f64 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 (neg.f64 M) M) h) w0) (*.f64 (*.f64 (neg.f64 d) l) 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 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)))) h))) |
#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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) l) (/.f64 h (*.f64 d d))) 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 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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 M M)) (/.f64 h 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) d) (/.f64 w0 (*.f64 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) 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 h M) M) d) (/.f64 w0 (*.f64 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 h M) M) 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 (*.f64 M M) h) w0) d) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 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)) (*.f64 M (*.f64 (*.f64 D M) (/.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 M (*.f64 (*.f64 D M) 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 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 D D) M) M) (*.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 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))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
#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) #s(approx (* (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) h) (*.f64 (*.f64 h w0) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)))))) |
#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 (*.f64 w0 h) l) (/.f64 (/.f64 (*.f64 M M) d) d))))) |
#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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (neg.f64 D)) (*.f64 (neg.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 M) d) (/.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 (*.f64 (*.f64 M M) D) 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 (*.f64 M M) D) (/.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 (*.f64 (/.f64 (*.f64 M M) d) 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 (*.f64 M M) D) (*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.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 (*.f64 M M) D) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d) (*.f64 l d)) #s(literal 1 binary64))))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 w0 l))) (/.f64 w0 h)) h))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h M)) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal -1/2 binary64)) (*.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 (/.f64 M d) (/.f64 (*.f64 D M) 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))) (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))) (fma.f64 (/.f64 D l) (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 D d) M) (/.f64 M d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) D)) M) d) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) D)) M) d) l) #s(literal 1 binary64)))) |
3 calls:
| 15.0ms | (*.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))))) |
| 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)))) |
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 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))))) |
| 87.3% | 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)))) |
| 87.3% | 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))) |
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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (/.f64 w0 h)) h))) |
#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 d d) l)) 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 M (*.f64 (*.f64 h M) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 l 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) w0) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) 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 (neg.f64 M) (*.f64 h M)) w0) (*.f64 (neg.f64 d) (*.f64 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 (neg.f64 M) M) h) w0) (*.f64 (*.f64 (neg.f64 d) l) 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 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)))) h))) |
#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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) l) (/.f64 h (*.f64 d d))) 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 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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 M M)) (/.f64 h 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) d) (/.f64 w0 (*.f64 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) 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 h M) M) d) (/.f64 w0 (*.f64 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 h M) M) 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 (*.f64 M M) h) w0) d) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 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)) (*.f64 M (*.f64 (*.f64 D M) (/.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 M (*.f64 (*.f64 D M) 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 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 D D) M) M) (*.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 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))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
#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) #s(approx (* (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) h) (*.f64 (*.f64 h w0) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)))))) |
#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 (*.f64 w0 h) l) (/.f64 (/.f64 (*.f64 M M) d) d))))) |
#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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (neg.f64 D)) (*.f64 (neg.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 M) d) (/.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 (*.f64 (*.f64 M M) D) 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 (*.f64 M M) D) (/.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 (*.f64 (/.f64 (*.f64 M M) d) 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 (*.f64 M M) D) (*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.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 (*.f64 M M) D) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d) (*.f64 l d)) #s(literal 1 binary64))))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 w0 l))) (/.f64 w0 h)) h))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h M)) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal -1/2 binary64)) (*.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 (/.f64 M d) (/.f64 (*.f64 D M) 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))) (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))) (fma.f64 (/.f64 D l) (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 D d) M) (/.f64 M d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) D)) M) d) l) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) D)) M) d) l) #s(literal 1 binary64)))) |
15 calls:
| 16.0ms | (*.f64 #s(literal 2 binary64) d) |
| 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))))) |
| 16.0ms | w0 |
| 16.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 16.0ms | D |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 1 | M |
| 85.7% | 2 | D |
| 87.1% | 3 | h |
| 86.2% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 86.2% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 85.3% | 2 | (*.f64 M D) |
| 83.7% | 2 | w0 |
| 84.2% | 2 | l |
| 85.8% | 3 | (/.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)) |
| 86.2% | 2 | d |
| 86.2% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 86.6% | 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))))) |
| 86.6% | 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)))) |
| 86.6% | 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))) |
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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (/.f64 w0 h)) h))) |
#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 d d) l)) 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 M (*.f64 (*.f64 h M) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 l 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) w0) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) 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 (neg.f64 M) (*.f64 h M)) w0) (*.f64 (neg.f64 d) (*.f64 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 (neg.f64 M) M) h) w0) (*.f64 (*.f64 (neg.f64 d) l) 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 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)))) h))) |
#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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) l) (/.f64 h (*.f64 d d))) 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 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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 M M)) (/.f64 h 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) d) (/.f64 w0 (*.f64 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) 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 h M) M) d) (/.f64 w0 (*.f64 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 h M) M) 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 (*.f64 M M) h) w0) d) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 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)) (*.f64 M (*.f64 (*.f64 D M) (/.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 M (*.f64 (*.f64 D M) 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 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 D D) M) M) (*.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 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))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
#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) #s(approx (* (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) h) (*.f64 (*.f64 h w0) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)))))) |
#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 (*.f64 w0 h) l) (/.f64 (/.f64 (*.f64 M M) d) d))))) |
#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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (neg.f64 D)) (*.f64 (neg.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 M) d) (/.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 (*.f64 (*.f64 M M) D) 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 (*.f64 M M) D) (/.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 (*.f64 (/.f64 (*.f64 M M) d) 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 (*.f64 M M) D) (*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.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 (*.f64 M M) D) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d) (*.f64 l d)) #s(literal 1 binary64))))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 w0 l))) (/.f64 w0 h)) h))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h M)) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal -1/2 binary64)) (*.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 (/.f64 M d) (/.f64 (*.f64 D M) 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))) (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))) (fma.f64 (/.f64 D l) (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 D d) M) (/.f64 M d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) D)) M) d) l) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) D)) M) d) l) #s(literal 1 binary64)))) |
4 calls:
| 15.0ms | (*.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))))) |
| 13.0ms | (-.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 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 12.0ms | (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 |
|---|---|---|
| 86.2% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 84.9% | 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))))) |
| 84.7% | 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)))) |
| 84.7% | 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))) |
Compiled 58 to 59 computations (-1.7% 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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (/.f64 w0 h)) h))) |
#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 d d) l)) 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 M (*.f64 (*.f64 h M) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 l 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) w0) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) 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 (neg.f64 M) (*.f64 h M)) w0) (*.f64 (neg.f64 d) (*.f64 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 (neg.f64 M) M) h) w0) (*.f64 (*.f64 (neg.f64 d) l) 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 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)))) h))) |
#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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) l) (/.f64 h (*.f64 d d))) 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 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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 M M)) (/.f64 h 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) d) (/.f64 w0 (*.f64 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) 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 h M) M) d) (/.f64 w0 (*.f64 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 h M) M) 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 (*.f64 M M) h) w0) d) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 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)) (*.f64 M (*.f64 (*.f64 D M) (/.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 M (*.f64 (*.f64 D M) 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 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 D D) M) M) (*.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 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))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
#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) #s(approx (* (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) h) (*.f64 (*.f64 h w0) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)))))) |
#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 (*.f64 w0 h) l) (/.f64 (/.f64 (*.f64 M M) d) d))))) |
#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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (neg.f64 D)) (*.f64 (neg.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 M) d) (/.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 (*.f64 (*.f64 M M) D) 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 (*.f64 M M) D) (/.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 (*.f64 (/.f64 (*.f64 M M) d) 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 (*.f64 M M) D) (*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.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 (*.f64 M M) D) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d) (*.f64 l d)) #s(literal 1 binary64))))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 w0 l))) (/.f64 w0 h)) h))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h M)) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal -1/2 binary64)) (*.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 (/.f64 M d) (/.f64 (*.f64 D M) 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))) (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))) (fma.f64 (/.f64 D l) (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 D d) M) (/.f64 M d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (neg.f64 (/.f64 (*.f64 (*.f64 h D) (*.f64 M #s(literal 1/2 binary64))) (*.f64 l d))) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (/.f64 (neg.f64 h) l)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D l) (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 D d) M) (/.f64 M d))) #s(literal 1 binary64))))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal -1/2 binary64)) (*.f64 l d))) #s(literal 1 binary64)))) |
6 calls:
| 15.0ms | D |
| 15.0ms | d |
| 14.0ms | (*.f64 #s(literal 2 binary64) d) |
| 14.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 12.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 2 | D |
| 84.0% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 84.5% | 2 | d |
| 84.5% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 85.6% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 85.6% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
Compiled 34 to 54 computations (-58.8% 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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (/.f64 w0 h)) h))) |
#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 d d) l)) 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 M (*.f64 (*.f64 h M) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 l 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) w0) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) 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 (neg.f64 M) (*.f64 h M)) w0) (*.f64 (neg.f64 d) (*.f64 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 (neg.f64 M) M) h) w0) (*.f64 (*.f64 (neg.f64 d) l) 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 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)))) h))) |
#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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) l) (/.f64 h (*.f64 d d))) 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 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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 M M)) (/.f64 h 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) d) (/.f64 w0 (*.f64 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) 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 h M) M) d) (/.f64 w0 (*.f64 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 h M) M) 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 (*.f64 M M) h) w0) d) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 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)) (*.f64 M (*.f64 (*.f64 D M) (/.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 M (*.f64 (*.f64 D M) 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 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 D D) M) M) (*.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 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))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
#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) #s(approx (* (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) h) (*.f64 (*.f64 h w0) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)))))) |
#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 (*.f64 w0 h) l) (/.f64 (/.f64 (*.f64 M M) d) d))))) |
#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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (neg.f64 D)) (*.f64 (neg.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 M) d) (/.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 (*.f64 (*.f64 M M) D) 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 (*.f64 M M) D) (/.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 (*.f64 (/.f64 (*.f64 M M) d) 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 (*.f64 M M) D) (*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.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 (*.f64 M M) D) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d) (*.f64 l d)) #s(literal 1 binary64))))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 w0 l))) (/.f64 w0 h)) h))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h M)) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal -1/2 binary64)) (*.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 (/.f64 M d) (/.f64 (*.f64 D M) 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))) (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))))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal -1/2 binary64)) (*.f64 l d))) #s(literal 1 binary64)))) |
8 calls:
| 14.0ms | D |
| 13.0ms | (*.f64 M D) |
| 13.0ms | h |
| 13.0ms | (*.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))))) |
| 12.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 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)))) |
| 84.4% | 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))) |
| 81.8% | 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 | (*.f64 M D) |
| 81.8% | 1 | h |
| 84.7% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 84.7% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 84.0% | 2 | D |
Compiled 70 to 88 computations (-25.7% 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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (/.f64 w0 h)) h))) |
#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 d d) l)) 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 M (*.f64 (*.f64 h M) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 l 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) w0) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) 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 (neg.f64 M) (*.f64 h M)) w0) (*.f64 (neg.f64 d) (*.f64 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 (neg.f64 M) M) h) w0) (*.f64 (*.f64 (neg.f64 d) l) 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 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)))) h))) |
#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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) l) (/.f64 h (*.f64 d d))) 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 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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 M M)) (/.f64 h 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) d) (/.f64 w0 (*.f64 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) 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 h M) M) d) (/.f64 w0 (*.f64 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 h M) M) 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 (*.f64 M M) h) w0) d) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 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)) (*.f64 M (*.f64 (*.f64 D M) (/.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 M (*.f64 (*.f64 D M) 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 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 D D) M) M) (*.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 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))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
#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) #s(approx (* (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) h) (*.f64 (*.f64 h w0) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)))))) |
#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 (*.f64 w0 h) l) (/.f64 (/.f64 (*.f64 M M) d) d))))) |
#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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (neg.f64 D)) (*.f64 (neg.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 M) d) (/.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 (*.f64 (*.f64 M M) D) 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 (*.f64 M M) D) (/.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 (*.f64 (/.f64 (*.f64 M M) d) 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 (*.f64 M M) D) (*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.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 (*.f64 M M) D) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d) (*.f64 l d)) #s(literal 1 binary64))))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 w0 l))) (/.f64 w0 h)) h))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h M)) (*.f64 l d)) #s(literal 1 binary64)))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64)))) |
11 calls:
| 16.0ms | l |
| 13.0ms | (*.f64 #s(literal 2 binary64) d) |
| 13.0ms | D |
| 13.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 13.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.1% | 2 | D |
| 83.7% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 81.0% | 1 | l |
| 81.0% | 1 | (/.f64 h l) |
| 83.5% | 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)))) |
| 83.5% | 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))) |
| 83.5% | 2 | (*.f64 M D) |
| 82.6% | 2 | d |
| 82.6% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 84.0% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 84.0% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
Compiled 72 to 105 computations (-45.8% 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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (/.f64 w0 h)) h))) |
#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 d d) l)) 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 M (*.f64 (*.f64 h M) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 l 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) w0) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) 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 (neg.f64 M) (*.f64 h M)) w0) (*.f64 (neg.f64 d) (*.f64 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 (neg.f64 M) M) h) w0) (*.f64 (*.f64 (neg.f64 d) l) 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 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)))) h))) |
#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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) l) (/.f64 h (*.f64 d d))) 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 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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 M M)) (/.f64 h 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) d) (/.f64 w0 (*.f64 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) 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 h M) M) d) (/.f64 w0 (*.f64 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 h M) M) 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 (*.f64 M M) h) w0) d) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 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)) (*.f64 M (*.f64 (*.f64 D M) (/.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 M (*.f64 (*.f64 D M) 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 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 D D) M) M) (*.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 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))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
#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) #s(approx (* (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) h) (*.f64 (*.f64 h w0) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)))))) |
#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 (*.f64 w0 h) l) (/.f64 (/.f64 (*.f64 M M) d) d))))) |
#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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (neg.f64 D)) (*.f64 (neg.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 M) d) (/.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 (*.f64 (*.f64 M M) D) 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 (*.f64 M M) D) (/.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 (*.f64 (/.f64 (*.f64 M M) d) 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 (*.f64 M M) D) (*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.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 (*.f64 M M) D) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d) (*.f64 l d)) #s(literal 1 binary64))))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 w0 l))) (/.f64 w0 h)) h))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h M)) (*.f64 l d)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
(*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h M)) (*.f64 l d)) #s(literal 1 binary64)))) |
4 calls:
| 13.0ms | w0 |
| 12.0ms | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 10.0ms | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 10.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 1 | w0 |
| 82.9% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 83.6% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 83.6% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
Compiled 30 to 40 computations (-33.3% 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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (/.f64 w0 h)) h))) |
#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 d d) l)) 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 M (*.f64 (*.f64 h M) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 l 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) w0) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) 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 (neg.f64 M) (*.f64 h M)) w0) (*.f64 (neg.f64 d) (*.f64 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 (neg.f64 M) M) h) w0) (*.f64 (*.f64 (neg.f64 d) l) 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 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)))) h))) |
#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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) l) (/.f64 h (*.f64 d d))) 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 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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 M M)) (/.f64 h 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) d) (/.f64 w0 (*.f64 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) 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 h M) M) d) (/.f64 w0 (*.f64 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 h M) M) 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 (*.f64 M M) h) w0) d) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 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)) (*.f64 M (*.f64 (*.f64 D M) (/.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 M (*.f64 (*.f64 D M) 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 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 D D) M) M) (*.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 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))))) |
(*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (*.f64 (/.f64 D (*.f64 (*.f64 d d) l)) (*.f64 #s(literal -1/4 binary64) h)) #s(literal 1 binary64))))) |
#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) #s(approx (* (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) h) (*.f64 (*.f64 h w0) (fma.f64 (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) h)))))) |
#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 (*.f64 w0 h) l) (/.f64 (/.f64 (*.f64 M M) d) d))))) |
#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 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (*.f64 (*.f64 M M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) (neg.f64 D)) (*.f64 (neg.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 M) d) (/.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 (*.f64 (*.f64 M M) D) 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 (*.f64 M M) D) (/.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 (*.f64 (/.f64 (*.f64 M M) d) 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 (*.f64 M M) D) (*.f64 (/.f64 D d) (/.f64 (*.f64 #s(literal -1/4 binary64) h) (*.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 (*.f64 M M) D) (/.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) h) D) d) (*.f64 l d)) #s(literal 1 binary64))))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 M D) (*.f64 (*.f64 M D) (/.f64 w0 l))) (/.f64 w0 h)) h))) |
#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 (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 D M) M) D) w0) l) (/.f64 w0 h)) h))) |
| 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 D M)) (*.f64 (*.f64 l d) 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:
| 13.0ms | d |
| 12.0ms | l |
| 12.0ms | h |
| 12.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 11.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.1% | 1 | w0 |
| 76.1% | 1 | l |
| 81.4% | 3 | (/.f64 h l) |
| 76.1% | 1 | d |
| 76.1% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 81.7% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 80.6% | 3 | D |
| 80.4% | 2 | M |
| 79.6% | 3 | h |
| 80.2% | 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))))) |
| 81.3% | 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)))) |
| 81.3% | 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))) |
| 82.5% | 3 | (*.f64 M D) |
| 78.6% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 78.6% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) 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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (/.f64 w0 h)) h))) |
#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 d d) l)) 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 M (*.f64 (*.f64 h M) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 l 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) w0) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) 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 (neg.f64 M) (*.f64 h M)) w0) (*.f64 (neg.f64 d) (*.f64 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 (neg.f64 M) M) h) w0) (*.f64 (*.f64 (neg.f64 d) l) 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 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)))) h))) |
#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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) l) (/.f64 h (*.f64 d d))) 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 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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 M M)) (/.f64 h 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) d) (/.f64 w0 (*.f64 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) 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 h M) M) d) (/.f64 w0 (*.f64 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 h M) M) 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 (*.f64 M M) h) w0) d) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 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)) (*.f64 M (*.f64 (*.f64 D M) (/.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 M (*.f64 (*.f64 D M) D)) (*.f64 (*.f64 l d) 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 M (*.f64 (*.f64 D M) D)) (*.f64 (*.f64 l 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:
| 9.0ms | (*.f64 M D) |
| 7.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 6.0ms | (-.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))) |
| 6.0ms | (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 |
|---|---|---|
| 81.0% | 3 | (*.f64 M D) |
| 79.8% | 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)))) |
| 79.8% | 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))) |
| 80.6% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 47 to 51 computations (-8.5% 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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (/.f64 w0 h)) h))) |
#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 d d) l)) 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 M (*.f64 (*.f64 h M) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 l 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) w0) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) 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 (neg.f64 M) (*.f64 h M)) w0) (*.f64 (neg.f64 d) (*.f64 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 (neg.f64 M) M) h) w0) (*.f64 (*.f64 (neg.f64 d) l) 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 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)))) h))) |
#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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) l) (/.f64 h (*.f64 d d))) 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 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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 M M)) (/.f64 h 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) d) (/.f64 w0 (*.f64 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) 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 h M) M) d) (/.f64 w0 (*.f64 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 h M) M) 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 (*.f64 M M) h) w0) d) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 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)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 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)) (*.f64 M (*.f64 (*.f64 D M) (/.f64 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))) |
2 calls:
| 7.0ms | M |
| 6.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.3% | 2 | M |
| 79.9% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 14 to 19 computations (-35.7% 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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (/.f64 w0 h)) h))) |
#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 d d) l)) 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 M (*.f64 (*.f64 h M) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 l 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) w0) (*.f64 (*.f64 d d) l)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) 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 (neg.f64 M) (*.f64 h M)) w0) (*.f64 (neg.f64 d) (*.f64 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 (neg.f64 M) M) h) w0) (*.f64 (*.f64 (neg.f64 d) l) 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 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M M) w0) (/.f64 (*.f64 D D) l)))) h))) |
#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) (fma.f64 (*.f64 w0 #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D M) M) D) l) (/.f64 h (*.f64 d d))) 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 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 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 M M)) (/.f64 h 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) d) (/.f64 w0 (*.f64 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) 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 h M) M) d) (/.f64 w0 (*.f64 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 h M) M) 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 (*.f64 M M) h) w0) d) (*.f64 l d)) w0)) |
#s(approx (* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))))) (fma.f64 (/.f64 (*.f64 (*.f64 M M) h) d) (*.f64 (/.f64 w0 (*.f64 l d)) (*.f64 #s(literal -1/8 binary64) (*.f64 D D))) w0)) |
(*.f64 w0 #s(approx (sqrt (+ (* (/ 1/2 d) (* (* D M) (* (/ -1/2 l) (/ (* (* D M) h) d)))) 1)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (/.f64 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 |
|---|
(*.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 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) D) w0)) |
11 calls:
| 8.0ms | M |
| 7.0ms | D |
| 7.0ms | (/.f64 h l) |
| 6.0ms | (*.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 | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.2% | 3 | h |
| 76.3% | 2 | M |
| 76.8% | 2 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 76.8% | 2 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 76.8% | 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))))) |
| 76.4% | 2 | D |
| 77.8% | 2 | (*.f64 M D) |
| 76.8% | 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)))) |
| 76.8% | 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))) |
| 75.0% | 2 | (/.f64 h l) |
| 77.3% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 87 to 114 computations (-31% 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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (/.f64 w0 h)) h))) |
#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 d d) l)) 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 M (*.f64 (*.f64 h M) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 d 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 (*.f64 M M) h) (/.f64 w0 (*.f64 (*.f64 l 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) w0) (*.f64 (*.f64 d d) 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 M (*.f64 M (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) h))) w0)) |
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
6 calls:
| 8.0ms | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 3.0ms | w0 |
| 3.0ms | (*.f64 #s(literal 2 binary64) d) |
| 3.0ms | d |
| 3.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 2 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
| 66.5% | 1 | l |
| 68.9% | 2 | d |
| 68.9% | 2 | (*.f64 #s(literal 2 binary64) d) |
| 70.3% | 3 | w0 |
| 70.7% | 2 | (*.f64 M D) |
Compiled 22 to 46 computations (-109.1% saved)
Total -10.2b remaining (-47.5%)
Threshold costs -10.2b (-47.5%)
| 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))))) #s(approx (+ (* (* (* D D) -1/8) (* (/ (* (* M M) h) l) (/ w0 (* d d)))) w0) (*.f64 #s(approx (+ (* (/ -1/8 (* d d)) (/ (* (* (* (* D M) M) D) w0) l)) (/ w0 h)) (/.f64 w0 h)) h))) |
| Outputs |
|---|
(*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) |
14 calls:
| 4.0ms | 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 |
|---|---|---|
| 66.5% | 1 | w0 |
| 66.5% | 1 | d |
| 66.5% | 1 | (*.f64 #s(literal 2 binary64) d) |
| 66.5% | 1 | (*.f64 M D) |
| 66.5% | 1 | h |
| 66.5% | 1 | (/.f64 h l) |
| 66.5% | 1 | M |
| 66.5% | 1 | D |
| 66.5% | 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))))) |
| 66.5% | 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)))) |
| 66.5% | 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))) |
| 66.5% | 1 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 66.5% | 1 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 66.5% | 1 | (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) |
Compiled 92 to 134 computations (-45.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.334527579450473e+290 | +inf |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.334527579450473e+290 | +inf |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.334527579450473e+290 | +inf |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.334527579450473e+290 | +inf |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.46110179115322e+66 | 1.994348428889903e+81 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 980758716049.4564 | 1855015749738.0537 |
| 6.0ms | 64× | 0 | valid |
Compiled 261 to 226 computations (13.4% saved)
ival-div: 1.0ms (26.1% of total)ival-mult: 1.0ms (26.1% of total)ival-pow2: 1.0ms (26.1% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.246097613334233e-101 | 2.265133408088783e-95 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.9013735395299596e-201 | 5.130829356439905e-190 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.9013735395299596e-201 | 5.130829356439905e-190 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.5107850009249382e-8 | -2.3561974905666766e-36 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.5107850009249382e-8 | -2.3561974905666766e-36 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.5107850009249382e-8 | -2.3561974905666766e-36 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.976112289391849e-30 | 2.4312582840099107e-29 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5.334527579450473e+290 | -1.4255572264825256e+265 |
Compiled 21 to 26 computations (-23.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 182 | 934 |
| 1 | 229 | 934 |
| 2 | 387 | 934 |
| 3 | 1529 | 934 |
| 4 | 4450 | 934 |
| 5 | 7817 | 934 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.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 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))) |
(if (<=.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 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64))))) |
(if (<=.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 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) D)) M) d) l) #s(literal 1 binary64))))) |
(if (<=.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 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) D)) M) d) l) #s(literal 1 binary64))))) |
(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 9999999999999999827367757839185598317239782875580932278577147150336 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) D)) M) d) l) #s(literal 1 binary64))))) |
(if (<=.f64 D #s(literal 1800000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D l) (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 D d) M) (/.f64 M d))) #s(literal 1 binary64))))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal -1/2 binary64)) (*.f64 l d))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 492525077454931/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal -1/2 binary64)) (*.f64 l d))) #s(literal 1 binary64))))) |
(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64))))) |
(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h M)) (*.f64 l 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 -3022314549036573/302231454903657293676544 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 #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 -3022314549036573/302231454903657293676544 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 M (*.f64 (*.f64 D M) D)) (*.f64 (*.f64 l 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 -3022314549036573/302231454903657293676544 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 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 M D) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (*.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 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) D) w0))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -499999999999999978930451175173142066076775939048257141926258886614516577002786239313118268535951812574041306445493431857101228510021003209840763187482937088894311771724997242528629131330872974013383816137806524948480039480659075272709232330533995834790894142764502740352844098034426819117056 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 d d) l)) 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 #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 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) h)) (neg.f64 l)) #s(literal 1 binary64))))) |
(if (<=.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 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal -1/2 binary64) l) (/.f64 (*.f64 (*.f64 D M) h) d))) #s(literal 1 binary64))))) |
(if (<=.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 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) D)) M) d) l) #s(literal 1 binary64))))) |
(if (<=.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 999999999999999957860902350346284132153551878096514283852517773229033154005572478626236537071903625148082612890986863714202457020042006419681526374965874177788623543449994485057258262661745948026767632275613049896960078961318150545418464661067991669581788285529005480705688196068853638234112 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (/.f64 h l) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) D)) M) d) l) #s(literal 1 binary64))))) |
(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 9999999999999999827367757839185598317239782875580932278577147150336 binary64)) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(approx (/ (* (* D 1/2) (* (/ M d) h)) (neg l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (/.f64 (*.f64 h M) l))) #s(literal 1 binary64)))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (/.f64 (*.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) D)) M) d) l) #s(literal 1 binary64))))) |
(if (<=.f64 D #s(literal 1800000000000 binary64)) (*.f64 w0 (sqrt.f64 #s(approx (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l))) (fma.f64 (/.f64 D l) (*.f64 (*.f64 #s(literal -1/4 binary64) h) (*.f64 (*.f64 (/.f64 D d) M) (/.f64 M d))) #s(literal 1 binary64))))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal -1/2 binary64)) (*.f64 l d))) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 492525077454931/4925250774549309901534880012517951725634967408808180833493536675530715221437151326426783281860614455100828498788352 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 (*.f64 D M) (/.f64 (*.f64 (*.f64 h (*.f64 M D)) #s(literal -1/2 binary64)) (*.f64 l d))) #s(literal 1 binary64))))) |
(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) h) (*.f64 l d)) #s(literal 1 binary64))))) |
(if (<=.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #s(literal 1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 binary64)) (*.f64 w0 #s(approx (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))) #s(literal 1 binary64))) (*.f64 w0 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 h M)) (*.f64 l 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 -3022314549036573/302231454903657293676544 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 #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 -3022314549036573/302231454903657293676544 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 M (*.f64 (*.f64 D M) D)) (*.f64 (*.f64 l 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 -3022314549036573/302231454903657293676544 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 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 M D) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (*.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 (*.f64 (/.f64 w0 (*.f64 (*.f64 d d) l)) M) (*.f64 h M)) D) (*.f64 #s(literal -1/8 binary64) D) w0))) |
(if (<=.f64 (*.f64 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 h l)) #s(literal -499999999999999978930451175173142066076775939048257141926258886614516577002786239313118268535951812574041306445493431857101228510021003209840763187482937088894311771724997242528629131330872974013383816137806524948480039480659075272709232330533995834790894142764502740352844098034426819117056 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 d d) l)) 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 | 82 | 69 |
| 2 | 550 | 69 |
| 3 | 7052 | 69 |
| 0 | 8640 | 69 |
| 0 | 626 | 4478 |
| 1 | 2185 | 4460 |
| 0 | 8508 | 4319 |
| 0 | 71 | 567 |
| 0 | 123 | 567 |
| 1 | 407 | 529 |
| 2 | 3030 | 527 |
| 0 | 9267 | 527 |
| 0 | 58 | 462 |
| 0 | 99 | 466 |
| 1 | 324 | 409 |
| 2 | 2586 | 399 |
| 0 | 8420 | 385 |
| 0 | 656 | 4658 |
| 1 | 2266 | 4626 |
| 0 | 8178 | 4478 |
| 0 | 75 | 552 |
| 0 | 119 | 550 |
| 1 | 434 | 536 |
| 2 | 3157 | 536 |
| 0 | 8603 | 532 |
| 1× | fuel |
| 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 |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 487 to 1 365 computations (45.1% saved)
(negabs w0)
(abs d)
Compiled 2 944 to 1 076 computations (63.5% saved)
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