
Time bar (total: 16.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 12.5% | 12.5% | 87.3% | 0.2% | 0% | 0% | 0% | 4 |
| 12.5% | 12.5% | 87.3% | 0.2% | 0% | 0% | 0% | 5 |
| 12.5% | 12.5% | 87.3% | 0.2% | 0% | 0% | 0% | 6 |
| 15.4% | 12.5% | 68.6% | 0.2% | 0% | 18.7% | 0% | 7 |
| 16.7% | 12.5% | 62.3% | 0.2% | 0% | 24.9% | 0% | 8 |
| 20% | 14% | 56.1% | 0.2% | 0% | 29.6% | 0% | 9 |
| 20% | 14% | 56.1% | 0.2% | 0% | 29.6% | 0% | 10 |
| 20% | 14% | 56.1% | 0.2% | 0% | 29.6% | 0% | 11 |
| 22.9% | 14.8% | 49.9% | 0.2% | 0% | 35.1% | 0% | 12 |
Compiled 37 to 24 computations (35.1% saved)
| 2.5s | 12 961× | 0 | invalid |
| 1.5s | 8 256× | 0 | valid |
ival-pow: 907.0ms (29.4% of total)ival-mult: 890.0ms (28.9% of total)ival-div: 865.0ms (28.1% of total)ival-pow2: 239.0ms (7.8% of total)ival-sub: 132.0ms (4.3% of total)exact: 22.0ms (0.7% of total)ival-true: 18.0ms (0.6% of total)ival-assert: 9.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 64 | 0 | - | 3 | (-5.752133317336195e-277 -8.22551726719903e+46 -5.207943749295837e-228 1.881942680820354e+198 -2.972038776214734e+122) | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 58 | 0 | - | 1 | (-1.378121887816148e-296 -9.003361253781129e+123 -8.064114190997088e+20 -9.751059140810376e-91 -1.0707839209803636e-21) | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 31 | 0 | - | 0 | - | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
| 21 | 0 | - | 0 | - | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 19 | 0 | - | 1 | (-1.3837197899834052e-293 -1.3089404232990674e+187 -7.730556622134332e+143 -1.6824667457291835e-264 5.0666361787491054e-54) | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 0 | 0 | - | 0 | - | D |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) d) |
| 0 | 0 | - | 0 | - | (/.f64 h l) |
| 0 | 0 | - | 0 | - | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 d l) |
| 0 | 0 | - | 0 | - | (*.f64 M D) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 d h) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | l |
| 0 | 0 | - | 0 | - | (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | M |
| 0 | 0 | - | 0 | - | h |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 32 | 0 |
| ↳ | (/.f64 d l) | overflow | 32 | |
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 31 | 0 |
| ↳ | (/.f64 d h) | overflow | 31 | |
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 30 | 0 |
| ↳ | (/.f64 d h) | underflow | 30 | |
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 25 | 0 |
| ↳ | (/.f64 d l) | underflow | 25 | |
*.f64 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | n*o | 9 | 0 |
*.f64 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | n*o | 9 | 0 |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | o/n | 8 | 0 |
| ↳ | (*.f64 M D) | overflow | 27 | |
*.f64 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | u*o | 8 | 0 |
| ↳ | (/.f64 d h) | underflow | 30 | |
| ↳ | (/.f64 d l) | underflow | 25 | |
| ↳ | (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) | underflow | 19 | |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 71 | |
| ↳ | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) | overflow | 71 | |
| ↳ | (/.f64 h l) | overflow | 35 | |
| ↳ | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) | overflow | 81 | |
| ↳ | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | overflow | 81 | |
| ↳ | (*.f64 M D) | overflow | 27 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 35 | |
*.f64 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | n*u | 4 | 0 |
*.f64 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | o*u | 2 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 71 | |
| ↳ | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) | overflow | 71 | |
| ↳ | (*.f64 M D) | overflow | 27 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 35 | |
| ↳ | (/.f64 h l) | underflow | 17 | |
*.f64 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | u*o | 1 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | underflow | 86 | |
| ↳ | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) | underflow | 86 | |
| ↳ | (*.f64 M D) | underflow | 36 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | underflow | 45 | |
| ↳ | (/.f64 h l) | overflow | 35 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 63 | 6 |
| - | 42 | 145 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 63 | 0 | 6 |
| - | 42 | 0 | 145 |
| number | freq |
|---|---|
| 0 | 151 |
| 1 | 58 |
| 2 | 40 |
| 3 | 7 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 118.0ms | 512× | 0 | valid |
Compiled 501 to 92 computations (81.6% saved)
ival-pow: 40.0ms (46.9% of total)ival-div: 19.0ms (22.3% of total)ival-mult: 18.0ms (21.1% of total)ival-pow2: 5.0ms (5.9% of total)ival-sub: 2.0ms (2.3% of total)ival-true: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 564 |
| 1 | 558 | 553 |
| 2 | 1960 | 548 |
| 3 | 4611 | 548 |
| 0 | 22 | 29 |
| 0 | 38 | 27 |
| 1 | 67 | 27 |
| 2 | 174 | 27 |
| 3 | 1054 | 27 |
| 4 | 3441 | 27 |
| 5 | 6724 | 27 |
| 0 | 8027 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(abs D)
(abs M)
(sort M D)
Compiled 35 to 22 computations (37.1% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.3% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 5824 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| cost-diff | 5824 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 132 |
| 0 | 38 | 126 |
| 1 | 67 | 126 |
| 2 | 174 | 126 |
| 3 | 1054 | 126 |
| 4 | 3441 | 126 |
| 5 | 6724 | 126 |
| 0 | 8027 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) |
(*.f64 D M) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.098714518889239 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| accuracy | 7.343920155315757 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | |
| accuracy | 13.611507083896997 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 14.795151673735894 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 58.0ms | 256× | 0 | valid |
Compiled 310 to 46 computations (85.2% saved)
ival-div: 19.0ms (44.4% of total)ival-pow: 10.0ms (23.3% of total)ival-mult: 8.0ms (18.7% of total)ival-pow2: 3.0ms (7% of total)ival-sub: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* d (sqrt (/ 1 (* h l)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | h | @ | 0 | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))) |
| 6.0ms | l | @ | 0 | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))) |
| 6.0ms | d | @ | 0 | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))) |
| 5.0ms | d | @ | -inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))) |
| 5.0ms | M | @ | inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 3951 |
| 1 | 413 | 3789 |
| 2 | 1500 | 3752 |
| 3 | 4172 | 3682 |
| 4 | 7950 | 3682 |
| 0 | 8170 | 3598 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* d (sqrt (/ 1 (* h l)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
| Outputs |
|---|
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt.f64 (/.f64 d l)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt.f64 (/.f64 d l)) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
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(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l)) |
(fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 D D) d) d)) (*.f64 M M) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 D D) d) d)) (*.f64 M M) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 D D) d) d)) (*.f64 M M) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 72 |
| 0 | 38 | 68 |
| 1 | 124 | 67 |
| 2 | 828 | 67 |
| 0 | 8730 | 65 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/8 binary64))) (pow.f64 (/.f64 h d) #s(literal -1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64))) (pow.f64 h #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) |
(*.f64 (sqrt.f64 d) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 h #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h))) |
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h)))) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (neg.f64 h) d))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) |
(sqrt.f64 (/.f64 d h)) |
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/8 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64))) (pow.f64 l #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d)) (pow.f64 l #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 d)) |
(*.f64 (sqrt.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 d) (pow.f64 l #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 l #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 (/.f64 d l)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l))) |
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 l))) |
(/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 l)) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 l)) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 l)))) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (neg.f64 l) d))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 l)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 l d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) |
(sqrt.f64 (/.f64 d l)) |
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64))) |
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(fma.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (neg.f64 h) l) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(+.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(+.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
Compiled 30 972 to 1 523 computations (95.1% saved)
34 alts after pruning (34 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 650 | 34 | 684 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 651 | 34 | 685 |
| Status | Accuracy | Program |
|---|---|---|
| 45.1% | (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 47.6% | (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) h) (*.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| ▶ | 43.8% | (fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
| 71.3% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) | |
| 71.9% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) | |
| 41.8% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) | |
| 37.7% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h)) | |
| 38.8% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) | |
| 35.2% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l)) | |
| 60.8% | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 72.1% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) | |
| ▶ | 72.1% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| 73.1% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 72.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))) | |
| 72.6% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) #s(literal 1 binary64))) | |
| 68.0% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))) d))) | |
| 51.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 D D) d) d)) (*.f64 M M) #s(literal 1 binary64)))) | |
| 26.0% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l)))) | |
| 43.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| ▶ | 35.6% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 40.0% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| ▶ | 73.3% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 36.5% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 72.5% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 37.7% | (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (pow.f64 h #s(literal -1/2 binary64))) | |
| 36.5% | (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 35.2% | (*.f64 (sqrt.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))))) | |
| 44.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 15.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) | |
| 14.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) | |
| 17.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) | |
| 17.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| ▶ | 25.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 27.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
Compiled 2 560 to 1 790 computations (30.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 5824 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 d l) h) d) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) | |
| cost-diff | 2368 | (fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 l h)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) | |
| cost-diff | 0 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) | |
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 5824 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 553 |
| 0 | 105 | 545 |
| 1 | 176 | 545 |
| 2 | 376 | 538 |
| 3 | 1532 | 538 |
| 4 | 4187 | 538 |
| 5 | 7921 | 538 |
| 0 | 8082 | 533 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
#s(literal 1 binary64) |
(*.f64 l h) |
l |
h |
d |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
#s(literal -1/2 binary64) |
(/.f64 h l) |
h |
l |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
(/.f64 #s(literal 2 binary64) M) |
#s(literal 2 binary64) |
M |
(/.f64 d D) |
d |
D |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (/.f64 (/.f64 d l) h) d) |
(/.f64 (/.f64 d l) h) |
(/.f64 d l) |
d |
l |
h |
(/.f64 h l) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) |
#s(literal -1/2 binary64) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
(/.f64 #s(literal 2 binary64) M) |
#s(literal 2 binary64) |
M |
(/.f64 d D) |
D |
#s(literal -2 binary64) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(/.f64 (sqrt.f64 d) (sqrt.f64 l)) |
(sqrt.f64 d) |
(sqrt.f64 l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) |
(*.f64 D M) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
#s(literal 1 binary64) |
(*.f64 l h) |
l |
h |
d |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
#s(literal -1/2 binary64) |
(/.f64 h l) |
h |
l |
(pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) |
(*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) |
(/.f64 #s(literal 2 binary64) M) |
#s(literal 2 binary64) |
M |
(/.f64 d D) |
d |
D |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (fma.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (/.f64 (/.f64 d l) h) d) |
(/.f64 (/.f64 d l) h) |
(/.f64 d l) |
d |
l |
h |
(/.f64 h l) |
(*.f64 (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) |
(*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) |
(/.f64 #s(literal 2 binary64) M) |
#s(literal 2 binary64) |
M |
(/.f64 d D) |
D |
#s(literal -2 binary64) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(/.f64 (sqrt.f64 d) (sqrt.f64 l)) |
(sqrt.f64 d) |
(sqrt.f64 l) |
l |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) |
(*.f64 D M) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.408339674623088 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| accuracy | 2.6626028333557796 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | |
| accuracy | 4.475132309353396 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | |
| accuracy | 7.769509899530636 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 3.4383584546093164 | (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) | |
| accuracy | 5.453666752145842 | (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) | |
| accuracy | 5.975383767167655 | (fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| accuracy | 9.893358459482174 | (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) | |
| accuracy | 3.4383584546093164 | (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) | |
| accuracy | 3.620724122503075 | (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 7.355547688979911 | (sqrt.f64 (/.f64 d l)) | |
| accuracy | 7.769509899530636 | (sqrt.f64 (/.f64 d h)) | |
| accuracy | 0.109375 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) | |
| accuracy | 0.3351089749351348 | (/.f64 #s(literal 1 binary64) (*.f64 l h)) | |
| accuracy | 8.886353864245013 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) | |
| accuracy | 15.804067727180374 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) | |
| accuracy | 2.6626028333557796 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | |
| accuracy | 4.475132309353396 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | |
| accuracy | 7.355547688979911 | (sqrt.f64 (/.f64 d l)) | |
| accuracy | 7.769509899530636 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 84.0ms | 123× | 0 | valid |
| 62.0ms | 133× | 0 | invalid |
Compiled 1 179 to 121 computations (89.7% saved)
ival-mult: 39.0ms (35.1% of total)ival-sqrt: 30.0ms (27% of total)ival-div: 20.0ms (18% of total)ival-pow: 15.0ms (13.5% of total)ival-pow2: 3.0ms (2.7% of total)ival-add: 2.0ms (1.8% of total)ival-sub: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (/.f64 (/.f64 d l) h) d) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(sqrt.f64 (/.f64 d l)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(sqrt.f64 (/.f64 d h)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
| Outputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(sqrt (/ d h)) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(* -1 (* d (sqrt (/ h (pow l 3))))) |
(* -1 (* d (sqrt (/ h (pow l 3))))) |
(* -1 (* d (sqrt (/ h (pow l 3))))) |
(* -1 (* d (sqrt (/ h (pow l 3))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(* d (sqrt (/ 1 (* h l)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(sqrt (/ 1 (* h l))) |
(sqrt (/ 1 (* h l))) |
(sqrt (/ 1 (* h l))) |
(sqrt (/ 1 (* h l))) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(* d (sqrt (/ 1 (* h l)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(sqrt (/ d h)) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/2 (/ h l)) |
(* -1/2 (/ h l)) |
(* -1/2 (/ h l)) |
(* -1/2 (/ h l)) |
(* d (sqrt (/ 1 (* h l)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(* d (sqrt (/ 1 (* h l)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
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(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | M | @ | -inf | ((pow (/ d h) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (sqrt (/ d h)) (* (/ 2 M) (/ d D))) |
| 31.0ms | d | @ | 0 | ((pow (/ d h) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (sqrt (/ d h)) (* (/ 2 M) (/ d D))) |
| 14.0ms | d | @ | -inf | ((pow (/ d h) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (sqrt (/ d h)) (* (/ 2 M) (/ d D))) |
| 10.0ms | D | @ | -inf | ((pow (/ d h) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (sqrt (/ d h)) (* (/ 2 M) (/ d D))) |
| 9.0ms | h | @ | 0 | ((pow (/ d h) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (/ 1 (* l h)) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (sqrt (* (/ (/ d l) h) d)) (* (/ (/ d l) h) d) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt (/ d l)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (sqrt (/ d h)) (* (/ 2 M) (/ d D))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 14829 |
| 1 | 706 | 14213 |
| 2 | 2472 | 14115 |
| 3 | 5991 | 14073 |
| 0 | 8372 | 13728 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(sqrt (/ d h)) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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1 |
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(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(sqrt (/ d h)) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
| Outputs |
|---|
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d h)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
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#s(literal 1 binary64) |
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(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 301 |
| 0 | 105 | 297 |
| 1 | 302 | 280 |
| 2 | 1971 | 266 |
| 0 | 8508 | 266 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (/.f64 (/.f64 d l) h) d) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(sqrt.f64 (/.f64 d l)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(sqrt.f64 (/.f64 d h)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 d) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 d) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h))) |
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h)))) |
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 h)) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 h)))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 d))) (neg.f64 (neg.f64 (sqrt.f64 h)))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d)))) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h d) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) |
(sqrt.f64 (/.f64 d h)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 h))) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 h)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
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(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)))) (exp.f64 (log.f64 M))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d))) (exp.f64 (log.f64 D))) |
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) d))) (exp.f64 (log.f64 (*.f64 D M)))) |
(/.f64 (*.f64 (neg.f64 d) (/.f64 #s(literal 2 binary64) M)) (neg.f64 D)) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 d D)) (neg.f64 M)) |
(/.f64 (*.f64 (/.f64 d D) #s(literal -2 binary64)) (neg.f64 M)) |
(/.f64 (*.f64 (/.f64 d D) #s(literal 1 binary64)) (*.f64 M #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (neg.f64 d)) (neg.f64 D)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) #s(literal 1 binary64)) (/.f64 D d)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) d)) (neg.f64 (*.f64 (neg.f64 D) M))) |
(/.f64 (neg.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64))) (neg.f64 M)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d)) (neg.f64 D)) |
(/.f64 (*.f64 (neg.f64 d) #s(literal -2 binary64)) (*.f64 (neg.f64 D) (neg.f64 M))) |
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 d)) (*.f64 (neg.f64 M) (neg.f64 D))) |
(/.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64)) (*.f64 (neg.f64 D) (*.f64 M #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 d)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D))) |
(/.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) |
(/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)) M) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d) D) |
(/.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (neg.f64 D) M)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 M (*.f64 (/.f64 d D) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 D (*.f64 (/.f64 #s(literal 2 binary64) M) d)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (/.f64 D d) M))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 M (/.f64 D d)))) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 D d) (neg.f64 M))) |
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 M) (/.f64 D d))) |
(/.f64 (/.f64 d D) (*.f64 M #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 D d)) |
(/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 D M)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (/.f64 D d) (neg.f64 M)))) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 M) (/.f64 D d)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 D d) M)) |
(/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) |
(/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 (/.f64 d D) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 D (*.f64 (/.f64 #s(literal 2 binary64) M) d))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 D) M)) (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 (neg.f64 D) M))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)))) |
Compiled 133 247 to 5 467 computations (95.9% saved)
45 alts after pruning (43 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 122 | 37 | 3 159 |
| Fresh | 23 | 6 | 29 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 3 148 | 45 | 3 193 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 40.3% | (fma.f64 (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) l) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
| 25.3% | (fma.f64 (/.f64 h l) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 45.1% | (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 25.0% | (fma.f64 (*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 22.7% | (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 l h)) (*.f64 l d)) (*.f64 l (sqrt.f64 (*.f64 l h)))) | |
| 18.4% | (/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (/.f64 d (sqrt.f64 h))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal -1 binary64)) (sqrt.f64 l))) | |
| 38.8% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) | |
| 35.2% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l)) | |
| 35.8% | (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| ▶ | 60.8% | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
| ▶ | 74.7% | (*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| 74.5% | (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 73.3% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 D M)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 37.7% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (sqrt.f64 (/.f64 d l))) | |
| ✓ | 72.1% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| 72.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))) | |
| 40.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) l) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))) | |
| 36.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (fma.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64))) | |
| 29.0% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))))) | |
| 15.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)))) | |
| 74.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64))) | |
| 36.5% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 72.5% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 55.6% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| ▶ | 27.0% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| 25.9% | (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)))) d)) (sqrt.f64 (/.f64 d l))) | |
| 9.9% | (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 D D)) (*.f64 (neg.f64 M) M)) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l))) | |
| 43.4% | (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 44.5% | #s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 15.0% | #s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) | |
| 16.8% | #s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) | |
| 27.3% | #s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) | |
| 22.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) | |
| 17.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) | |
| 24.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) | |
| ▶ | 25.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 37.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))) | |
| 3.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d)) | |
| 25.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) | |
| 17.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 25.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 h (pow.f64 l #s(literal -1 binary64))))) d)) | |
| ✓ | 25.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 24.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)) | |
| 37.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 41.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
Compiled 3 512 to 2 412 computations (31.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 d (sqrt.f64 (*.f64 l h))) | |
| cost-diff | 0 | (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) l) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) l) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| cost-diff | 0 | (/.f64 h l) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) | |
| cost-diff | 0 | #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| cost-diff | 0 | (*.f64 l h) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 l h)) | |
| cost-diff | 0 | (/.f64 d (sqrt.f64 (*.f64 l h))) | |
| cost-diff | 0 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| cost-diff | 320 | (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) | |
| cost-diff | 704 | (/.f64 h #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 620 |
| 0 | 121 | 610 |
| 1 | 218 | 600 |
| 2 | 528 | 600 |
| 3 | 2176 | 600 |
| 4 | 4712 | 600 |
| 5 | 7716 | 600 |
| 0 | 8093 | 599 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) l) #s(literal 1 binary64)) |
(/.f64 h #s(literal 1 binary64)) |
h |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) l) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) |
#s(literal 1/4 binary64) |
(pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) |
(/.f64 (/.f64 d D) M) |
(/.f64 d D) |
d |
D |
M |
#s(literal -2 binary64) |
#s(literal -1/2 binary64) |
l |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
d |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
l |
h |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) |
#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) |
(*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) |
(/.f64 (/.f64 (*.f64 D D) d) d) |
(/.f64 (*.f64 D D) d) |
(*.f64 D D) |
D |
d |
h |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 M M) l) |
(*.f64 M M) |
M |
l |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
#s(literal -1/2 binary64) |
(/.f64 h l) |
h |
l |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
(/.f64 #s(literal 2 binary64) M) |
#s(literal 2 binary64) |
M |
(/.f64 d D) |
d |
D |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (/.f64 (/.f64 d l) h) d) |
(/.f64 (/.f64 d l) h) |
(/.f64 d l) |
(fma.f64 (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) l) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) l) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
d |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
l |
h |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) |
#s(literal -1/2 binary64) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
(/.f64 #s(literal 2 binary64) M) |
#s(literal 2 binary64) |
M |
(/.f64 d D) |
D |
#s(literal -2 binary64) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (/.f64 (/.f64 d l) h) d) |
(/.f64 (/.f64 d l) h) |
(/.f64 d l) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) h #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) h #s(literal 1 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) h #s(literal 1 binary64)) |
h |
h |
#s(literal 1 binary64) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) |
(*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) |
(/.f64 (/.f64 d D) M) |
(/.f64 d D) |
d |
D |
M |
#s(literal -2 binary64) |
#s(literal -1/2 binary64) |
l |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
d |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
l |
h |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (/.f64 (*.f64 M M) l) d) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) h) #s(literal -1/8 binary64))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (/.f64 (*.f64 M M) l) d) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) h) #s(literal -1/8 binary64)))) (sqrt.f64 (/.f64 d h))) |
#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (/.f64 (*.f64 M M) l) d) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) h) #s(literal -1/8 binary64)))) |
(*.f64 (/.f64 (/.f64 (*.f64 M M) l) d) (*.f64 (*.f64 (/.f64 (*.f64 D D) d) h) #s(literal -1/8 binary64))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h)) |
(*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) |
(/.f64 (/.f64 (*.f64 D D) d) d) |
(/.f64 (*.f64 D D) d) |
(*.f64 D D) |
D |
d |
h |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 M M) l) |
(*.f64 M M) |
M |
l |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d D) M)) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d D) M)) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 h l) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 h l) |
h |
l |
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d D) M)) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d D) M)) |
(/.f64 #s(literal 2 binary64) M) |
#s(literal 2 binary64) |
M |
(/.f64 d D) |
d |
D |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (/.f64 (/.f64 d l) h) d) |
(/.f64 (/.f64 d l) h) |
(/.f64 d l) |
(fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d D) M)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) l) (/.f64 (*.f64 d h) (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(/.f64 (*.f64 (/.f64 h l) d) (sqrt.f64 (*.f64 l h))) |
(/.f64 (*.f64 d h) (sqrt.f64 (*.f64 l h))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
d |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
l |
h |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d D) M)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d D) M)) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d D) M)) |
(/.f64 #s(literal 2 binary64) M) |
#s(literal 2 binary64) |
M |
(/.f64 d D) |
D |
#s(literal -2 binary64) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (/.f64 (/.f64 d l) h) d) |
(/.f64 (/.f64 d l) h) |
(/.f64 d l) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.69231301998549 | (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) | |
| accuracy | 11.911370887733627 | (fma.f64 (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) l) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| accuracy | 17.26747921620747 | (sqrt.f64 (*.f64 l h)) | |
| accuracy | 18.933384915956466 | (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) | |
| accuracy | 5.098714518889239 | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| accuracy | 5.945109995260391 | (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) | |
| accuracy | 6.0426568723173935 | (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 18.933384915956466 | (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) | |
| accuracy | 12.773277346241267 | (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) | |
| accuracy | 13.611507083896997 | (sqrt.f64 (/.f64 d l)) | |
| accuracy | 14.795151673735894 | (sqrt.f64 (/.f64 d h)) | |
| accuracy | 30.739875872129776 | #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) | |
| accuracy | 0 | (*.f64 l h) | |
| accuracy | 0.1875 | (/.f64 d (sqrt.f64 (*.f64 l h))) | |
| accuracy | 17.26747921620747 | (sqrt.f64 (*.f64 l h)) | |
| accuracy | 46.749998079451174 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| accuracy | 3.2448343458849096 | (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) l) | |
| accuracy | 5.89333955197193 | (/.f64 (/.f64 d D) M) | |
| accuracy | 13.611507083896997 | (sqrt.f64 (/.f64 d l)) | |
| accuracy | 14.795151673735894 | (sqrt.f64 (/.f64 d h)) |
| 192.0ms | 256× | 0 | valid |
Compiled 1 205 to 149 computations (87.6% saved)
ival-mult: 51.0ms (32.6% of total)ival-div: 38.0ms (24.3% of total)ival-sqrt: 33.0ms (21.1% of total)ival-pow: 26.0ms (16.6% of total)ival-add: 4.0ms (2.6% of total)ival-pow2: 3.0ms (1.9% of total)ival-sub: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 h #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) |
#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
(/.f64 h l) |
(fma.f64 (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) l) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) l) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 (/.f64 d D) M) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) l) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
| Outputs |
|---|
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h l))) |
(* d (sqrt (/ h l))) |
(* d (sqrt (/ h l))) |
(* d (sqrt (/ h l))) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(sqrt (/ d h)) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(sqrt (/ d h)) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h l))) |
(* d (sqrt (/ h l))) |
(* d (sqrt (/ h l))) |
(* d (sqrt (/ h l))) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h l))) |
(* d (sqrt (/ h l))) |
(* d (sqrt (/ h l))) |
(* d (sqrt (/ h l))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
h |
h |
h |
h |
(* d (sqrt (/ 1 (* h l)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(sqrt (/ d h)) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
(* d (sqrt (/ 1 (* h l)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(sqrt (* h l)) |
(sqrt (* h l)) |
(sqrt (* h l)) |
(sqrt (* h l)) |
(* h l) |
(* h l) |
(* h l) |
(* h l) |
(* d (sqrt (/ 1 (* h l)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(sqrt (/ d h)) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(sqrt (/ d h)) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(sqrt (/ d h)) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | M | @ | inf | ((/ h 1) (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) (* (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (* (/ (/ (* D D) d) d) h) -1/8) (/ (* M M) l)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (/ (* (/ d (sqrt (* l h))) h) l) (* (/ d (sqrt (* l h))) h) (sqrt (/ d h)) (sqrt (/ d l)) (/ (/ d D) M) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l) (sqrt (* (/ (/ d l) h) d)) (* (/ 2 M) (/ d D))) |
| 31.0ms | D | @ | inf | ((/ h 1) (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) (* (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (* (/ (/ (* D D) d) d) h) -1/8) (/ (* M M) l)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (/ (* (/ d (sqrt (* l h))) h) l) (* (/ d (sqrt (* l h))) h) (sqrt (/ d h)) (sqrt (/ d l)) (/ (/ d D) M) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l) (sqrt (* (/ (/ d l) h) d)) (* (/ 2 M) (/ d D))) |
| 22.0ms | h | @ | -inf | ((/ h 1) (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) (* (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (* (/ (/ (* D D) d) d) h) -1/8) (/ (* M M) l)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (/ (* (/ d (sqrt (* l h))) h) l) (* (/ d (sqrt (* l h))) h) (sqrt (/ d h)) (sqrt (/ d l)) (/ (/ d D) M) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l) (sqrt (* (/ (/ d l) h) d)) (* (/ 2 M) (/ d D))) |
| 12.0ms | l | @ | inf | ((/ h 1) (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) (* (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (* (/ (/ (* D D) d) d) h) -1/8) (/ (* M M) l)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (/ (* (/ d (sqrt (* l h))) h) l) (* (/ d (sqrt (* l h))) h) (sqrt (/ d h)) (sqrt (/ d l)) (/ (/ d D) M) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l) (sqrt (* (/ (/ d l) h) d)) (* (/ 2 M) (/ d D))) |
| 11.0ms | d | @ | -inf | ((/ h 1) (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) (* (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (* (/ (/ (* D D) d) d) h) -1/8) (/ (* M M) l)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (/ (* (/ d (sqrt (* l h))) h) l) (* (/ d (sqrt (* l h))) h) (sqrt (/ d h)) (sqrt (/ d l)) (/ (/ d D) M) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l) (sqrt (* (/ (/ d l) h) d)) (* (/ 2 M) (/ d D))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 240 | 16900 |
| 1 | 686 | 16483 |
| 2 | 2418 | 16399 |
| 3 | 5437 | 16318 |
| 0 | 8434 | 15943 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* d (sqrt (/ h (pow l 3)))) |
(* d (sqrt (/ h (pow l 3)))) |
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(* d (sqrt (/ h l))) |
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(* d (sqrt (/ h l))) |
(* d (sqrt (/ h l))) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
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(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
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(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(sqrt (/ d h)) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
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(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(sqrt (/ d h)) |
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(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
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(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
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(* 2 (/ d (* D M))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
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(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
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(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
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(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(/ d (* D M)) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d)) |
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) d) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) d) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) d) |
(*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) d) |
(*.f64 (sqrt.f64 (/.f64 h l)) d) |
(*.f64 (sqrt.f64 (/.f64 h l)) d) |
(*.f64 (sqrt.f64 (/.f64 h l)) d) |
(*.f64 (sqrt.f64 (/.f64 h l)) d) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d (*.f64 M D)) |
(/.f64 d (*.f64 M D)) |
(/.f64 d (*.f64 M D)) |
(/.f64 d (*.f64 M D)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 l d)) (/.f64 (*.f64 D D) d)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 l d)) (/.f64 (*.f64 D D) d)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 l d)) (/.f64 (*.f64 D D) d)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 l d)) (/.f64 (*.f64 D D) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (/.f64 d (*.f64 M D)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 M D)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 M D)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 M D)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(sqrt.f64 (/.f64 d h)) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h)))) d) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h)))) d) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h)))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(sqrt.f64 (/.f64 d h)) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h)))) d) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h)))) d) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 d h)))) d) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
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#s(literal 1 binary64) |
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(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
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(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(/.f64 d (*.f64 M D)) |
(/.f64 d (*.f64 M D)) |
(/.f64 d (*.f64 M D)) |
(/.f64 d (*.f64 M D)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 l d)) (/.f64 (*.f64 D D) d)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 l d)) (/.f64 (*.f64 D D) d)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 l d)) (/.f64 (*.f64 D D) d)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 l d)) (/.f64 (*.f64 D D) d)) |
(*.f64 (/.f64 d (*.f64 M D)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 M D)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 M D)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 M D)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(/.f64 d (*.f64 M D)) |
(/.f64 d (*.f64 M D)) |
(/.f64 d (*.f64 M D)) |
(/.f64 d (*.f64 M D)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 l d)) (/.f64 (*.f64 D D) d)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 l d)) (/.f64 (*.f64 D D) d)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 l d)) (/.f64 (*.f64 D D) d)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (*.f64 l d)) (/.f64 (*.f64 D D) d)) |
(*.f64 (/.f64 d (*.f64 M D)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 M D)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 M D)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 M D)) #s(literal 2 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 386 |
| 0 | 121 | 373 |
| 1 | 393 | 355 |
| 2 | 2870 | 327 |
| 0 | 8522 | 327 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 h #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) |
#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
(/.f64 h l) |
(fma.f64 (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) l) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) l) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 (/.f64 d D) M) |
(/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) l) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 h) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) h) |
(*.f64 h #s(literal 1 binary64)) |
(pow.f64 (pow.f64 h #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 h #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 h #s(literal -1 binary64)))) |
(/.f64 (neg.f64 h) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 h #s(literal -1 binary64))) |
(/.f64 h #s(literal 1 binary64)) |
(neg.f64 (neg.f64 h)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 h)) #s(literal -1 binary64))) |
h |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64)))) (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d D) #s(literal -2 binary64))) |
(*.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal 1/4 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))))) |
(*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d D) #s(literal -2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) |
(*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)) #s(literal -1/8 binary64)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)))) |
(neg.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (/.f64 d l) h))) (sqrt.f64 d)) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))) |
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (/.f64 h l))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 d l) h) d)) (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (/.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 l h)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (/.f64 h l))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (-.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (/.f64 h l)))) (pow.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (/.f64 h l))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (sqrt.f64 d) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (/.f64 h l) #s(literal 1 binary64)))) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (/.f64 h l) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (/.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 l h)))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (/.f64 h l))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 d l) h) d))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (-.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (/.f64 h l)))) (pow.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (/.f64 h l))) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (/.f64 h l))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) (/.f64 d (sqrt.f64 (*.f64 l h)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)))) (sqrt.f64 l) (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 d (/.f64 d h))))) (*.f64 (neg.f64 l) (sqrt.f64 l))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) (/.f64 d (sqrt.f64 (*.f64 l h)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)))) (sqrt.f64 l) (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 (/.f64 d h) d)))) (*.f64 (neg.f64 l) (sqrt.f64 l))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) (/.f64 d (sqrt.f64 (*.f64 l h)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 l h)) (*.f64 (neg.f64 l) d)) (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 l h)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 h) (/.f64 d (sqrt.f64 (*.f64 l h)))) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)))) (sqrt.f64 h) (*.f64 (neg.f64 l) (/.f64 d (sqrt.f64 l)))) (*.f64 (neg.f64 l) (sqrt.f64 h))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)))) (sqrt.f64 l) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 d (/.f64 d h))))) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 l))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)))) (sqrt.f64 l) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 (/.f64 d h) d)))) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 l))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 l h)) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) d)) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 l h)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64)))) (sqrt.f64 h) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (/.f64 d (sqrt.f64 l)))) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 h))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (neg.f64 h) (/.f64 d (sqrt.f64 (*.f64 l h))))) (sqrt.f64 l) (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 d (/.f64 d h))))) (*.f64 (neg.f64 l) (sqrt.f64 l))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (neg.f64 h) (/.f64 d (sqrt.f64 (*.f64 l h))))) (sqrt.f64 l) (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 (/.f64 d h) d)))) (*.f64 (neg.f64 l) (sqrt.f64 l))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (neg.f64 h) (/.f64 d (sqrt.f64 (*.f64 l h))))) (sqrt.f64 (*.f64 l h)) (*.f64 (neg.f64 l) d)) (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 l h)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (neg.f64 h) (/.f64 d (sqrt.f64 (*.f64 l h))))) (sqrt.f64 h) (*.f64 (neg.f64 l) (/.f64 d (sqrt.f64 l)))) (*.f64 (neg.f64 l) (sqrt.f64 h))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 l) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 d (/.f64 d h))))) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 l))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 l) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 (/.f64 d h) d)))) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 l))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h)) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) d)) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 l h)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal 1 binary64)) (sqrt.f64 h) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (/.f64 d (sqrt.f64 l)))) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 h))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h))) (sqrt.f64 l) (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 d (/.f64 d h))))) (*.f64 (neg.f64 l) (sqrt.f64 l))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h))) (sqrt.f64 l) (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 (/.f64 d h) d)))) (*.f64 (neg.f64 l) (sqrt.f64 l))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h))) (sqrt.f64 (*.f64 l h)) (*.f64 (neg.f64 l) d)) (*.f64 (neg.f64 l) (sqrt.f64 (*.f64 l h)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h))) (sqrt.f64 h) (*.f64 (neg.f64 l) (/.f64 d (sqrt.f64 l)))) (*.f64 (neg.f64 l) (sqrt.f64 h))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h)) (sqrt.f64 l) (*.f64 l (sqrt.f64 (*.f64 d (/.f64 d h))))) (*.f64 l (sqrt.f64 l))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h)) (sqrt.f64 l) (*.f64 l (sqrt.f64 (*.f64 (/.f64 d h) d)))) (*.f64 l (sqrt.f64 l))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h)) (sqrt.f64 (*.f64 l h)) (*.f64 l d)) (*.f64 l (sqrt.f64 (*.f64 l h)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h)) (sqrt.f64 h) (*.f64 l (/.f64 d (sqrt.f64 l)))) (*.f64 l (sqrt.f64 h))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (sqrt.f64 l) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 d (/.f64 d h))))) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 l))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (sqrt.f64 l) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 (/.f64 d h) d)))) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 l))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (sqrt.f64 (*.f64 l h)) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) d)) (*.f64 (*.f64 (/.f64 l (*.f64 d h)) (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 l h)))) |
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(neg.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (neg.f64 l))) |
(exp.f64 (*.f64 (log.f64 (/.f64 l (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 d l) d) (neg.f64 h))) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 d l) d) #s(literal 1 binary64))) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (sqrt.f64 (/.f64 (/.f64 d l) h)))) (sqrt.f64 (sqrt.f64 d))) |
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 d l) h))) (sqrt.f64 (*.f64 (sqrt.f64 d) (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
(*.f64 (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) (sqrt.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 d l) d) (neg.f64 h)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 d l) d) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (sqrt.f64 (/.f64 (/.f64 d l) h))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 d) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 d) (/.f64 d (sqrt.f64 (*.f64 l h)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (pow.f64 l #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 d (sqrt.f64 l)) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 h) d) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d l)))) |
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d) |
(*.f64 (neg.f64 d) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) (sqrt.f64 (/.f64 d #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) (pow.f64 (/.f64 d #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) (sqrt.f64 d)) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) |
(*.f64 d (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(pow.f64 (*.f64 (pow.f64 (/.f64 l d) #s(literal -2 binary64)) (pow.f64 (/.f64 h d) #s(literal -2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) (pow.f64 (/.f64 l d) #s(literal -2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) #s(literal -1 binary64)) |
(pow.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 d l) h) d) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 (neg.f64 h))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
(/.f64 (sqrt.f64 (*.f64 d (/.f64 (neg.f64 d) l))) (sqrt.f64 (neg.f64 h))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 d l) d))) (sqrt.f64 (neg.f64 h))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) d)) (sqrt.f64 (*.f64 (neg.f64 h) l))) |
(/.f64 (sqrt.f64 (*.f64 d (neg.f64 d))) (sqrt.f64 (*.f64 h (neg.f64 l)))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (*.f64 (/.f64 h d) (neg.f64 l)))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) d)) (sqrt.f64 (*.f64 (/.f64 h d) l))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))) |
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 (*.f64 (/.f64 h d) l))) |
(/.f64 (sqrt.f64 (*.f64 d (/.f64 d h))) (sqrt.f64 l)) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) |
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h))) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
(/.f64 (neg.f64 d) (neg.f64 (sqrt.f64 (*.f64 l h)))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 (/.f64 h d) l))) |
(/.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (sqrt.f64 (*.f64 (neg.f64 h) (neg.f64 l)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(neg.f64 (/.f64 (neg.f64 d) (sqrt.f64 (*.f64 l h)))) |
(neg.f64 (/.f64 d (neg.f64 (sqrt.f64 (*.f64 l h))))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(*.f64 (exp.f64 (log.f64 (/.f64 d D))) (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) M)))) |
(*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) M))) (exp.f64 (log.f64 (/.f64 d D)))) |
(*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) |
(*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 d D)) (pow.f64 M #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d) (pow.f64 D #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
(*.f64 (*.f64 #s(literal 2 binary64) d) (pow.f64 (*.f64 M D) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d D) M)) |
(*.f64 (/.f64 d D) (/.f64 #s(literal 2 binary64) M)) |
(*.f64 d (pow.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M D))) |
(pow.f64 (/.f64 M (*.f64 #s(literal 2 binary64) (/.f64 d D))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 D (*.f64 (/.f64 #s(literal 2 binary64) M) d)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d D) M)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 d D)))) (exp.f64 (log.f64 M))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d))) (exp.f64 (log.f64 D))) |
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) d))) (exp.f64 (log.f64 (*.f64 M D)))) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 d D)) (neg.f64 M)) |
(/.f64 (*.f64 (neg.f64 d) (/.f64 #s(literal 2 binary64) M)) (neg.f64 D)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (neg.f64 d)) (neg.f64 D)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) #s(literal 1 binary64)) (/.f64 D d)) |
(/.f64 (*.f64 (/.f64 d D) #s(literal -2 binary64)) (neg.f64 M)) |
(/.f64 (*.f64 (/.f64 d D) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) M)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 d D))) (neg.f64 M)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d)) (neg.f64 D)) |
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 d)) (*.f64 (neg.f64 M) (neg.f64 D))) |
(/.f64 (*.f64 (neg.f64 d) #s(literal -2 binary64)) (*.f64 (neg.f64 D) (neg.f64 M))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 d)) (*.f64 (*.f64 #s(literal 1/2 binary64) M) (neg.f64 D))) |
(/.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 #s(literal 1/2 binary64) M) D)) |
(/.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64)) (*.f64 (neg.f64 D) (*.f64 #s(literal 1/2 binary64) M))) |
(/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 d D)) M) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d) D) |
(/.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (neg.f64 M) D)) |
(/.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 D d)) |
(/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) |
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 D d) M)) |
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 M) (/.f64 D d))) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 D d) (neg.f64 M))) |
(/.f64 (/.f64 d D) (*.f64 #s(literal 1/2 binary64) M)) |
(/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 #s(literal 2 binary64) (/.f64 d D)))) |
(/.f64 #s(literal 1 binary64) (/.f64 D (*.f64 (/.f64 #s(literal 2 binary64) M) d))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64)))) |
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d D) M)))) |
Compiled 108 099 to 3 525 computations (96.7% saved)
48 alts after pruning (46 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 640 | 28 | 2 668 |
| Fresh | 20 | 18 | 38 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 1 | 2 |
| Total | 2 665 | 48 | 2 713 |
| Status | Accuracy | Program |
|---|---|---|
| 26.7% | (fma.f64 (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) l) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 35.7% | (fma.f64 (/.f64 (*.f64 d h) (*.f64 (sqrt.f64 (*.f64 l h)) l)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 45.1% | (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 27.9% | (fma.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 25.0% | (fma.f64 (*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 25.4% | (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (/.f64 h l)) #s(literal -1/2 binary64)) (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64)))) (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 22.7% | (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h)) (sqrt.f64 (*.f64 l h)) (*.f64 l d)) (*.f64 l (sqrt.f64 (*.f64 l h)))) | |
| 38.8% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) | |
| 37.7% | (/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) | |
| 64.1% | (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) h #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 35.8% | (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 63.5% | (*.f64 (fma.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 62.0% | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| ▶ | 38.0% | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
| ▶ | 75.3% | (*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| 74.5% | (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 40.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) l) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))) | |
| 36.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (fma.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64))) | |
| 29.0% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))))) | |
| 74.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64))) | |
| 57.0% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (*.f64 D D) d) l) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 36.4% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 28.6% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) h) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) d)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| ▶ | 13.8% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) |
| 16.1% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (sqrt.f64 (/.f64 d l))) | |
| 13.0% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) | |
| 15.2% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) | |
| 49.8% | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (*.f64 D D) d) l) l)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 32.0% | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| ▶ | 25.4% | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
| 43.4% | (*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 44.5% | #s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 15.0% | #s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) | |
| 17.1% | #s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 27.3% | #s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) | |
| 22.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) | |
| 17.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) | |
| 24.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) | |
| 23.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) | |
| ✓ | 25.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 25.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) | |
| 37.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))) | |
| 3.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d)) | |
| 25.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) | |
| 17.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| ✓ | 25.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 37.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| ▶ | 41.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
Compiled 3 752 to 2 580 computations (31.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 h l) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) | |
| cost-diff | 0 | #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) | |
| cost-diff | 0 | #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 l h)) | |
| cost-diff | 0 | (/.f64 d (sqrt.f64 (*.f64 l h))) | |
| cost-diff | 0 | (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| cost-diff | 0 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| cost-diff | 704 | (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64)) | |
| cost-diff | 704 | (/.f64 h #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 703 |
| 0 | 135 | 693 |
| 1 | 245 | 662 |
| 2 | 617 | 660 |
| 3 | 3174 | 660 |
| 4 | 5512 | 660 |
| 0 | 8005 | 660 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) #s(literal 1 binary64)) |
(/.f64 h #s(literal 1 binary64)) |
h |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) |
(*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) |
(/.f64 M d) |
M |
d |
(/.f64 D #s(literal 2 binary64)) |
D |
#s(literal 2 binary64) |
(*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
l |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
d |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
l |
h |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) |
(*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) |
(/.f64 (/.f64 (*.f64 D D) d) d) |
(/.f64 (*.f64 D D) d) |
(*.f64 D D) |
D |
d |
h |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 M M) l) |
(*.f64 M M) |
M |
l |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (/.f64 (/.f64 d l) h) d) |
(/.f64 (/.f64 d l) h) |
(/.f64 d l) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) |
#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) |
(*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) |
(/.f64 (/.f64 (*.f64 D D) d) d) |
(/.f64 (*.f64 D D) d) |
(*.f64 D D) |
D |
d |
h |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 M M) l) |
(*.f64 M M) |
M |
l |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(sqrt.f64 (neg.f64 d)) |
(neg.f64 d) |
(sqrt.f64 (neg.f64 h)) |
(neg.f64 h) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
#s(literal -1/2 binary64) |
(/.f64 h l) |
h |
l |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
(/.f64 #s(literal 2 binary64) M) |
#s(literal 2 binary64) |
M |
(/.f64 d D) |
d |
D |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 d (sqrt.f64 l)) |
(sqrt.f64 l) |
(sqrt.f64 h) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) |
h |
h |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal -1/2 binary64) l) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) |
(/.f64 M d) |
M |
d |
(/.f64 D #s(literal 2 binary64)) |
D |
#s(literal 2 binary64) |
(*.f64 (*.f64 (/.f64 D d) M) #s(literal -1/4 binary64)) |
#s(literal -1/2 binary64) |
l |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
d |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
l |
h |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (/.f64 (*.f64 M M) l) h) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d))))) |
#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (/.f64 (*.f64 M M) l) h) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)))) |
(*.f64 (*.f64 (/.f64 (*.f64 M M) l) h) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h)) |
(*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) |
(/.f64 (/.f64 (*.f64 D D) d) d) |
(/.f64 (*.f64 D D) d) |
(*.f64 D D) |
D |
d |
h |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 M M) l) |
(*.f64 M M) |
M |
l |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (/.f64 (/.f64 d l) h) d) |
(/.f64 (/.f64 d l) h) |
(/.f64 d l) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (/.f64 (*.f64 M M) l) h) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)))) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (/.f64 (*.f64 M M) l) h) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d))))) |
#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (/.f64 (*.f64 M M) l) h) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d)))) |
(*.f64 (*.f64 (/.f64 (*.f64 M M) l) h) (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (*.f64 D D) d) d))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h)) |
(*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) |
(/.f64 (/.f64 (*.f64 D D) d) d) |
(/.f64 (*.f64 D D) d) |
(*.f64 D D) |
D |
d |
h |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 M M) l) |
(*.f64 M M) |
M |
l |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(sqrt.f64 (neg.f64 d)) |
(neg.f64 d) |
(sqrt.f64 (neg.f64 h)) |
(neg.f64 h) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
(*.f64 (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)) (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 h l) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 h l) |
h |
l |
(pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) M) |
#s(literal 2 binary64) |
M |
(/.f64 d D) |
d |
D |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)) |
(/.f64 d (sqrt.f64 l)) |
(sqrt.f64 l) |
(sqrt.f64 h) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) | |
| accuracy | 0 | (sqrt.f64 l) | |
| accuracy | 0 | (sqrt.f64 h) | |
| accuracy | 0 | (sqrt.f64 (neg.f64 d)) | |
| accuracy | 0 | (neg.f64 h) | |
| accuracy | 0 | (neg.f64 d) | |
| accuracy | 0 | #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) | |
| accuracy | 0 | (*.f64 M M) | |
| accuracy | 0 | (*.f64 D D) | |
| accuracy | 0 | (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) | |
| accuracy | 0 | #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) | |
| accuracy | 0 | (*.f64 l h) | |
| accuracy | 0 | (sqrt.f64 (*.f64 l h)) | |
| accuracy | 0 | (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| accuracy | 0 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) | |
| accuracy | 0 | (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) | |
| accuracy | 0 | (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64)) | |
| accuracy | 0 | (sqrt.f64 (/.f64 d l)) | |
| accuracy | 0 | (sqrt.f64 (/.f64 d h)) |
| 452.0ms | 256× | 0 | invalid |
Compiled 1 337 to 162 computations (87.9% saved)
ival-mult: 314.0ms (76.5% of total)ival-div: 38.0ms (9.3% of total)ival-pow: 33.0ms (8% of total)ival-sqrt: 13.0ms (3.2% of total)ival-pow2: 5.0ms (1.2% of total)ival-add: 3.0ms (0.7% of total)ival-neg: 2.0ms (0.5% of total)ival-fabs: 1.0ms (0.2% of total)ival-sub: 1.0ms (0.2% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 h #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (*.f64 l h)) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
(/.f64 h l) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d l)) |
(*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 l h) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 D D) |
(*.f64 M M) |
(neg.f64 d) |
(neg.f64 h) |
(sqrt.f64 (neg.f64 d)) |
(sqrt.f64 h) |
(sqrt.f64 l) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
| Outputs |
|---|
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(fabs (* d (sqrt (/ 1 (* h l))))) |
(fabs (* d (sqrt (/ 1 (* h l))))) |
(fabs (* d (sqrt (/ 1 (* h l))))) |
(fabs (* d (sqrt (/ 1 (* h l))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* (sqrt d) (sqrt -1)) |
(* (sqrt d) (sqrt -1)) |
(* (sqrt d) (sqrt -1)) |
(* (sqrt d) (sqrt -1)) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(sqrt (/ d h)) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(fabs (* d (sqrt (/ 1 (* h l))))) |
(fabs (* d (sqrt (/ 1 (* h l))))) |
(fabs (* d (sqrt (/ 1 (* h l))))) |
(fabs (* d (sqrt (/ 1 (* h l))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(sqrt (/ d h)) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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1 |
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1 |
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h |
h |
h |
h |
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1 |
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1 |
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h |
h |
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(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
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1 |
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1 |
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(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
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(pow M 2) |
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(* -1/4 (/ (* D M) d)) |
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(sqrt (/ d h)) |
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1 |
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(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
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(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(sqrt (/ d h)) |
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1 |
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(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
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(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
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(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
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(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | M | @ | inf | ((/ h 1) (* (* (/ M d) (/ D 2)) -1/2) (* (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (* (/ (/ (* D D) d) d) h) -1/8) (/ (* M M) l)) (* (* (/ (/ (* D D) d) d) h) -1/8) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (/ d (sqrt l)) (sqrt h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) (* l h) (sqrt (* (/ (/ d l) h) d)) (* D D) (* M M) (neg d) (neg h) (sqrt (neg d)) (sqrt h) (sqrt l) (* (/ 2 M) (/ d D))) |
| 10.0ms | d | @ | -inf | ((/ h 1) (* (* (/ M d) (/ D 2)) -1/2) (* (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (* (/ (/ (* D D) d) d) h) -1/8) (/ (* M M) l)) (* (* (/ (/ (* D D) d) d) h) -1/8) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (/ d (sqrt l)) (sqrt h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) (* l h) (sqrt (* (/ (/ d l) h) d)) (* D D) (* M M) (neg d) (neg h) (sqrt (neg d)) (sqrt h) (sqrt l) (* (/ 2 M) (/ d D))) |
| 8.0ms | h | @ | -inf | ((/ h 1) (* (* (/ M d) (/ D 2)) -1/2) (* (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (* (/ (/ (* D D) d) d) h) -1/8) (/ (* M M) l)) (* (* (/ (/ (* D D) d) d) h) -1/8) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (/ d (sqrt l)) (sqrt h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) (* l h) (sqrt (* (/ (/ d l) h) d)) (* D D) (* M M) (neg d) (neg h) (sqrt (neg d)) (sqrt h) (sqrt l) (* (/ 2 M) (/ d D))) |
| 6.0ms | d | @ | 0 | ((/ h 1) (* (* (/ M d) (/ D 2)) -1/2) (* (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (* (/ (/ (* D D) d) d) h) -1/8) (/ (* M M) l)) (* (* (/ (/ (* D D) d) d) h) -1/8) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (/ d (sqrt l)) (sqrt h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) (* l h) (sqrt (* (/ (/ d l) h) d)) (* D D) (* M M) (neg d) (neg h) (sqrt (neg d)) (sqrt h) (sqrt l) (* (/ 2 M) (/ d D))) |
| 5.0ms | l | @ | -inf | ((/ h 1) (* (* (/ M d) (/ D 2)) -1/2) (* (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (* (/ (/ d l) h) d))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (* (/ (/ (* D D) d) d) h) -1/8) (/ (* M M) l)) (* (* (/ (/ (* D D) d) d) h) -1/8) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (/ d (sqrt l)) (sqrt h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (/ h l) (sqrt (/ d h)) (sqrt (/ d l)) (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) (* l h) (sqrt (* (/ (/ d l) h) d)) (* D D) (* M M) (neg d) (neg h) (sqrt (neg d)) (sqrt h) (sqrt l) (* (/ 2 M) (/ d D))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 259 | 16601 |
| 1 | 743 | 16247 |
| 2 | 2593 | 16175 |
| 3 | 5668 | 16092 |
| 0 | 8169 | 15726 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(fabs (* d (sqrt (/ 1 (* h l))))) |
(fabs (* d (sqrt (/ 1 (* h l))))) |
(fabs (* d (sqrt (/ 1 (* h l))))) |
(fabs (* d (sqrt (/ 1 (* h l))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* (sqrt d) (sqrt -1)) |
(* (sqrt d) (sqrt -1)) |
(* (sqrt d) (sqrt -1)) |
(* (sqrt d) (sqrt -1)) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
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1 |
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1 |
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1 |
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1 |
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h |
h |
h |
h |
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1 |
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1 |
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h |
h |
h |
h |
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1 |
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1 |
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(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/4 (/ (* D M) d)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) h) (pow d 2))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(pow D 2) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
(* 2 (/ d (* D M))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 D M) d) #s(literal -1/4 binary64)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal -1/4 binary64)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal -1/4 binary64)) |
(*.f64 (/.f64 (*.f64 D M) d) #s(literal -1/4 binary64)) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (/.f64 (*.f64 D D) l))) (/.f64 (/.f64 (*.f64 M M) d) d)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (/.f64 (*.f64 D D) l))) (/.f64 (/.f64 (*.f64 M M) d) d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (/.f64 (*.f64 D D) l))) (/.f64 (/.f64 (*.f64 M M) d) d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (/.f64 (*.f64 D D) l))) (/.f64 (/.f64 (*.f64 M M) d) d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (/.f64 (*.f64 D D) l))) (/.f64 (/.f64 (*.f64 M M) d) d)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) h) d) (/.f64 (*.f64 D D) d)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) h) d) (/.f64 (*.f64 D D) d)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) h) d) (/.f64 (*.f64 D D) d)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) h) d) (/.f64 (*.f64 D D) d)) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 d h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (/.f64 (*.f64 D D) l))) (/.f64 (/.f64 (*.f64 M M) d) d)) |
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(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d)) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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(sqrt.f64 (/.f64 d h)) |
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#s(literal 1 binary64) |
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(*.f64 M M) |
(*.f64 M M) |
(*.f64 M M) |
(*.f64 M M) |
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(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (/.f64 (*.f64 D D) l))) (/.f64 (/.f64 (*.f64 M M) d) d)) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (/.f64 (*.f64 D D) l))) (/.f64 (/.f64 (*.f64 M M) d) d) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (/.f64 (*.f64 D D) l))) (/.f64 (/.f64 (*.f64 M M) d) d) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (/.f64 (*.f64 D D) l))) (/.f64 (/.f64 (*.f64 M M) d) d) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(*.f64 D D) |
(*.f64 D D) |
(*.f64 D D) |
(*.f64 D D) |
(*.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64)) |
(*.f64 (/.f64 d (*.f64 D M)) #s(literal 2 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 431 |
| 0 | 135 | 398 |
| 1 | 433 | 392 |
| 2 | 3305 | 370 |
| 0 | 8853 | 370 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 h #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (*.f64 l h)) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)) |
(*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
(/.f64 h l) |
(sqrt.f64 (/.f64 d h)) |
(sqrt.f64 (/.f64 d l)) |
(*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 l h) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 D D) |
(*.f64 M M) |
(neg.f64 d) |
(neg.f64 h) |
(sqrt.f64 (neg.f64 d)) |
(sqrt.f64 h) |
(sqrt.f64 l) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 h)) |
(*.f64 (neg.f64 h) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) h) |
(*.f64 h #s(literal 1 binary64)) |
(pow.f64 (pow.f64 h #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 h #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 h #s(literal -1 binary64)))) |
(/.f64 (neg.f64 h) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 h #s(literal -1 binary64))) |
(/.f64 h #s(literal 1 binary64)) |
(neg.f64 (neg.f64 h)) |
(-.f64 #s(literal 0 binary64) (neg.f64 h)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 h)) #s(literal -1 binary64))) |
h |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) (/.f64 #s(literal 1/2 binary64) d)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 M d)) (*.f64 #s(literal 1/2 binary64) D)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) M) (*.f64 D (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 (*.f64 D #s(literal -1/4 binary64)) (/.f64 M d)) |
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 D M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M)) |
(*.f64 (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) D) (*.f64 (/.f64 M d) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 M d) (*.f64 D #s(literal -1/4 binary64))) |
(*.f64 M (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1/2 binary64))) |
(*.f64 M (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 D #s(literal -1/4 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) d) |
(/.f64 (*.f64 (*.f64 D (/.f64 M d)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) M) #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 (neg.f64 M) (*.f64 D #s(literal -1/4 binary64))) (neg.f64 d)) |
(/.f64 (*.f64 M (*.f64 D #s(literal -1/4 binary64))) d) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 D #s(literal -1/4 binary64))) (/.f64 d M)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) d) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D (/.f64 M d))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 D) M)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 D M)) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 d (sqrt.f64 l)) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) |
(pow.f64 (/.f64 (sqrt.f64 h) (*.f64 (/.f64 d (sqrt.f64 l)) (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 (neg.f64 d) (sqrt.f64 l)) (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 h))) |
(/.f64 (*.f64 d (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 l h))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -4 binary64)) #s(literal -1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -6 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -6 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) (fma.f64 (pow.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal -4 binary64)) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))) (sqrt.f64 l)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h)))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (neg.f64 (sqrt.f64 h))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) |
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
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(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 d l) h) d) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (*.f64 l h)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 (neg.f64 d)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 l h))))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 d))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 l h)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 l h))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 d))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (sqrt.f64 (*.f64 l h)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (*.f64 l h)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) d)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) (neg.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (*.f64 l h)))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 (neg.f64 d) l) d)) (sqrt.f64 h)) |
(/.f64 (sqrt.f64 (*.f64 d (/.f64 (neg.f64 d) l))) (sqrt.f64 h)) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 d l) d))) (sqrt.f64 h)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 d))) (sqrt.f64 (*.f64 (/.f64 h d) (neg.f64 l)))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) d)) (sqrt.f64 (*.f64 l h))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) d)) (sqrt.f64 (/.f64 h (/.f64 d l)))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d)))) |
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 (/.f64 h (/.f64 d l)))) |
(/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l)) |
(/.f64 (sqrt.f64 (*.f64 d (/.f64 d h))) (sqrt.f64 l)) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (sqrt.f64 (/.f64 d l))) (neg.f64 (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 h)) |
(/.f64 (*.f64 (neg.f64 d) (pow.f64 h #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 l))) |
(/.f64 (*.f64 d (pow.f64 h #s(literal -1/2 binary64))) (sqrt.f64 l)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (neg.f64 (sqrt.f64 (neg.f64 d)))) (neg.f64 (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) #s(literal 1 binary64)) (sqrt.f64 h)) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) (sqrt.f64 h)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 h d))) |
(/.f64 (neg.f64 (neg.f64 d)) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 l h))))) |
(/.f64 (*.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 (neg.f64 d)))) (neg.f64 (sqrt.f64 (*.f64 l h)))) |
(/.f64 (sqrt.f64 (*.f64 d (neg.f64 d))) (sqrt.f64 (*.f64 h (neg.f64 l)))) |
(/.f64 (sqrt.f64 (*.f64 d (neg.f64 d))) (sqrt.f64 (*.f64 l h))) |
(/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 (*.f64 l (/.f64 h d)))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (sqrt.f64 d)) (*.f64 (neg.f64 (sqrt.f64 h)) (sqrt.f64 l))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 (/.f64 h (/.f64 d l)))) |
(/.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (*.f64 l h)))) |
(/.f64 (*.f64 d #s(literal 1 binary64)) (sqrt.f64 (*.f64 l h))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 h (/.f64 d l)))) |
(/.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 l) d)) |
(/.f64 (/.f64 (neg.f64 d) (sqrt.f64 l)) (neg.f64 (sqrt.f64 h))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
(/.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) |
(/.f64 (/.f64 d (sqrt.f64 l)) (neg.f64 (neg.f64 (sqrt.f64 h)))) |
(/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h)) |
(/.f64 (neg.f64 d) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l)))) |
(/.f64 (neg.f64 d) (neg.f64 (sqrt.f64 (*.f64 l h)))) |
(/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(/.f64 d (sqrt.f64 (*.f64 (neg.f64 h) (neg.f64 l)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 l) d) (sqrt.f64 h))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 d) (sqrt.f64 l)) (sqrt.f64 h))) |
(neg.f64 (/.f64 (/.f64 d (sqrt.f64 l)) (neg.f64 (sqrt.f64 h)))) |
(neg.f64 (/.f64 (neg.f64 d) (sqrt.f64 (*.f64 l h)))) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (*.f64 l h)))) (/.f64 (neg.f64 d) (sqrt.f64 (*.f64 l h)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d)) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) #s(literal 1/2 binary64))) |
(*.f64 (exp.f64 (log.f64 D)) (exp.f64 (log.f64 D))) |
(*.f64 D D) |
(*.f64 #s(literal 1 binary64) (*.f64 D D)) |
(pow.f64 (exp.f64 (log.f64 D)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 D #s(literal -1 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 D D) #s(literal 1 binary64)) |
(pow.f64 D #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 D #s(literal -1 binary64))) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 D) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 M))) |
(*.f64 M M) |
(*.f64 #s(literal 1 binary64) (*.f64 M M)) |
(pow.f64 (exp.f64 (log.f64 M)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 M #s(literal -1 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 M M) #s(literal 1 binary64)) |
(pow.f64 M #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 M #s(literal -1 binary64))) #s(literal -2 binary64))) |
(exp.f64 (*.f64 (log.f64 M) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) d) |
(*.f64 d #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (+.f64 #s(literal 0 binary64) d)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 d #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d)))) |
(neg.f64 d) |
(-.f64 #s(literal 0 binary64) d) |
(+.f64 #s(literal 0 binary64) (neg.f64 d)) |
(*.f64 #s(literal -1 binary64) h) |
(*.f64 (neg.f64 h) #s(literal 1 binary64)) |
(*.f64 h #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (pow.f64 h #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 h h)) (+.f64 #s(literal 0 binary64) h)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 h #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 h h (*.f64 #s(literal 0 binary64) h)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 h #s(literal -1 binary64))) |
(/.f64 (neg.f64 h) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 h #s(literal -1 binary64)))) |
(/.f64 h #s(literal -1 binary64)) |
(neg.f64 h) |
(-.f64 #s(literal 0 binary64) h) |
(+.f64 #s(literal 0 binary64) (neg.f64 h)) |
(*.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 d) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 d)) |
(*.f64 (sqrt.f64 d) (sqrt.f64 #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 d))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (neg.f64 d) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 d d) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 d) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d))) (sqrt.f64 (+.f64 #s(literal 0 binary64) d))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d))))) |
(sqrt.f64 (neg.f64 d)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 (pow.f64 h #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 h #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (neg.f64 h) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 h) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 h #s(literal 1/4 binary64)) (pow.f64 h #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 h) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 h) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 h)) |
(pow.f64 (exp.f64 (log.f64 h)) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 h))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (neg.f64 h) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 h #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 h h) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 h #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 h #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 h) #s(literal 1/2 binary64)) |
(pow.f64 h #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (*.f64 h h))) (sqrt.f64 (+.f64 #s(literal 0 binary64) h))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (pow.f64 h #s(literal 3 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (fma.f64 h h (*.f64 #s(literal 0 binary64) h))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 h #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 h #s(literal -1/2 binary64))) |
(/.f64 (sqrt.f64 h) (fabs.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 h) (sqrt.f64 #s(literal -1 binary64))) |
(/.f64 (sqrt.f64 h) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 h #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (pow.f64 h #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 h #s(literal -1/2 binary64))) |
(sqrt.f64 (neg.f64 h)) |
(sqrt.f64 h) |
(fabs.f64 (neg.f64 (sqrt.f64 h))) |
(fabs.f64 (sqrt.f64 h)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 h) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 (pow.f64 l #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 l #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 l #s(literal 1/4 binary64)) (pow.f64 l #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 l) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 l)) |
(pow.f64 (exp.f64 (log.f64 l)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 l #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 l l) #s(literal 1/4 binary64)) |
(pow.f64 l #s(literal 1/2 binary64)) |
(sqrt.f64 l) |
(fabs.f64 (neg.f64 (sqrt.f64 l))) |
(fabs.f64 (sqrt.f64 l)) |
(exp.f64 (*.f64 (log.f64 l) #s(literal 1/2 binary64))) |
(*.f64 (exp.f64 (log.f64 (/.f64 d D))) (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) M)))) |
(*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) M))) (exp.f64 (log.f64 (/.f64 d D)))) |
(*.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)) (pow.f64 M #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d) (pow.f64 D #s(literal -1 binary64))) |
(*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) |
(*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) |
(*.f64 (/.f64 d D) (/.f64 #s(literal 2 binary64) M)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
(*.f64 (*.f64 #s(literal 2 binary64) d) (pow.f64 (*.f64 D M) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d D) M)) |
(*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 D M))) |
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal -1 binary64))) |
(*.f64 d (pow.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 d (/.f64 #s(literal 2 binary64) (*.f64 D M))) |
(pow.f64 (/.f64 M (*.f64 (/.f64 d D) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 D (*.f64 (/.f64 #s(literal 2 binary64) M) d)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal -1 binary64)) |
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)))) (exp.f64 (log.f64 M))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d))) (exp.f64 (log.f64 D))) |
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) d))) (exp.f64 (log.f64 (*.f64 D M)))) |
(/.f64 (*.f64 (neg.f64 d) (/.f64 #s(literal 2 binary64) M)) (neg.f64 D)) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 d D)) (neg.f64 M)) |
(/.f64 (*.f64 (/.f64 d D) #s(literal -2 binary64)) (neg.f64 M)) |
(/.f64 (*.f64 (/.f64 d D) #s(literal 1 binary64)) (*.f64 M #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (neg.f64 d)) (neg.f64 D)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) #s(literal 1 binary64)) (/.f64 D d)) |
(/.f64 (neg.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64))) (neg.f64 M)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d)) (neg.f64 D)) |
(/.f64 (*.f64 (neg.f64 d) #s(literal -2 binary64)) (*.f64 (neg.f64 D) (neg.f64 M))) |
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 d)) (*.f64 (neg.f64 M) (neg.f64 D))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 d)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D))) |
(/.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) |
(/.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64)) (*.f64 (neg.f64 D) (*.f64 M #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 (*.f64 D M) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)) M) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d) D) |
(/.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (neg.f64 D) M)) |
(/.f64 (/.f64 d D) (*.f64 M #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 D d)) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 D d) (neg.f64 M))) |
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 M) (/.f64 D d))) |
(/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 D M)) |
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 D d) M)) |
(/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) |
(/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 (/.f64 d D) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 D (*.f64 (/.f64 #s(literal 2 binary64) M) d))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M)) |
(exp.f64 (log.f64 (*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)))) |
Compiled 110 641 to 3 697 computations (96.7% saved)
57 alts after pruning (54 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 410 | 23 | 2 433 |
| Fresh | 10 | 31 | 41 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 424 | 57 | 2 481 |
| Status | Accuracy | Program |
|---|---|---|
| 26.7% | (fma.f64 (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) l) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 27.9% | (fma.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 25.0% | (fma.f64 (*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 25.4% | (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (/.f64 h l)) #s(literal -1/2 binary64)) (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64)))) (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 22.7% | (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h)) (sqrt.f64 (*.f64 l h)) (*.f64 l d)) (*.f64 l (sqrt.f64 (*.f64 l h)))) | |
| 39.9% | (/.f64 (*.f64 (/.f64 d (sqrt.f64 l)) (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (sqrt.f64 h)) | |
| 35.8% | (*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 63.5% | (*.f64 (fma.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 38.0% | (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M)) (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 1 binary64)) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) | |
| 36.6% | (*.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 D #s(literal -1/4 binary64)) l)) h) #s(literal 1 binary64)) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) | |
| 72.7% | (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) | |
| 40.1% | (*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (sqrt.f64 (/.f64 d l))) | |
| 41.4% | (*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) | |
| 73.4% | (*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) (*.f64 (*.f64 D #s(literal -1/4 binary64)) (/.f64 M d)))) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 73.5% | (*.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) | |
| 74.5% | (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 40.2% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) l) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))) | |
| 36.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (fma.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64))) | |
| 29.0% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))))) | |
| 74.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64))) | |
| 57.0% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (*.f64 D D) d) l) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 36.4% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 28.6% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) h) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) d)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 11.4% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d d)) (/.f64 (*.f64 M M) l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) | |
| 15.0% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) | |
| 16.1% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (sqrt.f64 (/.f64 d l))) | |
| 13.0% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) | |
| 29.8% | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (*.f64 D D) d) l) l)) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) | |
| 20.0% | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) | |
| 32.0% | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 26.4% | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) h) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) d)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 25.7% | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 D) (/.f64 D d)) (*.f64 #s(literal -1/8 binary64) h)) (neg.f64 d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 19.8% | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 25.3% | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 (/.f64 (/.f64 d D) D) d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 16.1% | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) | |
| 16.8% | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 18.3% | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) #s(approx (sqrt (* (/ (/ d l) h) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) | |
| 15.2% | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (/.f64 (*.f64 D D) l))) (/.f64 (/.f64 (*.f64 M M) d) d))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) | |
| 25.1% | (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 #s(approx (* (* (/ (/ (* D D) d) d) h) -1/8) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) h) d) (/.f64 (*.f64 D D) d))) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 43.4% | (*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 9.6% | (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (neg.f64 (sqrt.f64 (/.f64 d h)))) (sqrt.f64 (/.f64 d l))) | |
| 44.5% | #s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 15.0% | #s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l))) | |
| 27.3% | #s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) | |
| 22.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) | |
| 17.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) | |
| 24.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) | |
| 23.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) | |
| ✓ | 25.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 25.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) | |
| 37.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))) | |
| 3.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d)) | |
| 25.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) | |
| 17.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| ✓ | 25.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 37.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| ✓ | 41.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
Compiled 7 212 to 2 222 computations (69.2% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
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(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) |
(fma.f64 (/.f64 h l) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) l) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h)) |
(fma.f64 (/.f64 (*.f64 d h) (*.f64 (sqrt.f64 (*.f64 l h)) l)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)))) d)) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) |
(fma.f64 (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) l) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h)) (sqrt.f64 (*.f64 l h)) (*.f64 l d)) (*.f64 l (sqrt.f64 (*.f64 l h)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 l h)) (*.f64 l d)) (*.f64 l (sqrt.f64 (*.f64 l h)))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (fma.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 D D) d) d)) (*.f64 M M) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) h) (*.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) l) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.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 (/.f64 h l) #s(literal 1/2 binary64))) d))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -1 binary64)) (/.f64 d (sqrt.f64 h))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal -1 binary64)) (sqrt.f64 l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) l) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (sqrt.f64 (/.f64 d l))) |
7 calls:
| 56.0ms | h |
| 45.0ms | M |
| 40.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 38.0ms | D |
| 37.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 2 | d |
| 84.5% | 3 | h |
| 83.8% | 3 | l |
| 75.3% | 1 | M |
| 75.3% | 1 | D |
| 82.3% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 75.3% | 1 | (*.f64 M D) |
Compiled 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
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(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) |
(fma.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) l) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) |
(fma.f64 (/.f64 h l) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(fma.f64 (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) l) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h)) |
(fma.f64 (/.f64 (*.f64 d h) (*.f64 (sqrt.f64 (*.f64 l h)) l)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64)) l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)))) d)) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) |
(fma.f64 (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) l) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h)) (sqrt.f64 (*.f64 l h)) (*.f64 l d)) (*.f64 l (sqrt.f64 (*.f64 l h)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) h) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -2 binary64))) #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 l h)) (*.f64 l d)) (*.f64 l (sqrt.f64 (*.f64 l h)))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (/.f64 h l)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (fma.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 D D) d) d)) (*.f64 M M) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) h) (*.f64 (pow.f64 l #s(literal -1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M)) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
2 calls:
| 49.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 47.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.3% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 81.9% | 2 | h |
Compiled 36 to 27 computations (25% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (neg.f64 (sqrt.f64 (/.f64 d h)))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) #s(approx (sqrt (* (/ (/ d l) h) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 #s(approx (* (* (/ (/ (* D D) d) d) h) -1/8) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) h) d) (/.f64 (*.f64 D D) d))) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) h) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) d)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (*.f64 D D) d) l) l)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 D) (/.f64 D d)) (*.f64 #s(literal -1/8 binary64) h)) (neg.f64 d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (/.f64 (*.f64 D D) l))) (/.f64 (/.f64 (*.f64 M M) d) d))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (*.f64 D D) d) l) l)) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) h) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) d)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 (/.f64 (/.f64 d D) D) d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (*.f64 D D) d) l) l)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) (*.f64 (*.f64 (/.f64 M d) (/.f64 (*.f64 D #s(literal -1/4 binary64)) l)) h) #s(literal 1 binary64)) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M)) (*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) #s(literal 1 binary64)) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d d)) (/.f64 (*.f64 M M) l))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) h) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) d)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
7 calls:
| 36.0ms | (*.f64 M D) |
| 22.0ms | d |
| 21.0ms | l |
| 20.0ms | D |
| 12.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 3 | D |
| 63.1% | 2 | M |
| 60.3% | 2 | (*.f64 M D) |
| 72.5% | 4 | h |
| 69.9% | 3 | d |
| 71.6% | 3 | l |
| 73.7% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (neg.f64 (sqrt.f64 (/.f64 d h)))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) #s(approx (sqrt (* (/ (/ d l) h) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 #s(approx (* (* (/ (/ (* D D) d) d) h) -1/8) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) h) d) (/.f64 (*.f64 D D) d))) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) h) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) d)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (*.f64 D D) d) l) l)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 D) (/.f64 D d)) (*.f64 #s(literal -1/8 binary64) h)) (neg.f64 d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (/.f64 (*.f64 D D) l))) (/.f64 (/.f64 (*.f64 M M) d) d))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (*.f64 D D) d) l) l)) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 18.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.9% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (neg.f64 (sqrt.f64 (/.f64 d h)))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) #s(approx (sqrt (* (/ (/ d l) h) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 #s(approx (* (* (/ (/ (* D D) d) d) h) -1/8) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) h) d) (/.f64 (*.f64 D D) d))) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) h) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) d)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (*.f64 D D) d) l) l)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 D) (/.f64 D d)) (*.f64 #s(literal -1/8 binary64) h)) (neg.f64 d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (/.f64 (*.f64 D D) l))) (/.f64 (/.f64 (*.f64 M M) d) d))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (*.f64 D D) d) l) l)) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 D) (/.f64 D d)) (*.f64 #s(literal -1/8 binary64) h)) (neg.f64 d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
3 calls:
| 23.0ms | l |
| 9.0ms | h |
| 9.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.5% | 3 | h |
| 63.2% | 4 | l |
| 70.8% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 37 to 32 computations (13.5% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (neg.f64 (sqrt.f64 (/.f64 d h)))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) #s(approx (sqrt (* (/ (/ d l) h) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 #s(approx (* (* (/ (/ (* D D) d) d) h) -1/8) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) h) d) (/.f64 (*.f64 D D) d))) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) h) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) d)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 h (/.f64 (*.f64 M M) l)) (*.f64 d d)) (*.f64 d d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) (/.f64 (*.f64 D D) d) l) l)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 (neg.f64 d) (*.f64 (sqrt.f64 h) (neg.f64 (sqrt.f64 l))))) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) h) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) d)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 8.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.8% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (neg.f64 (sqrt.f64 (/.f64 d h)))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) #s(approx (sqrt (* (/ (/ d l) h) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 #s(approx (* (* (/ (/ (* D D) d) d) h) -1/8) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) h) d) (/.f64 (*.f64 D D) d))) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 7.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.6% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (neg.f64 (sqrt.f64 (/.f64 d h)))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) #s(approx (sqrt (* (/ (/ d l) h) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 #s(approx (* (* (/ (/ (* D D) d) d) h) -1/8) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) h) d) (/.f64 (*.f64 D D) d))) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 #s(approx (* (* (/ (/ (* D D) d) d) h) -1/8) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) h) d) (/.f64 (*.f64 D D) d))) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 17.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (neg.f64 (sqrt.f64 (/.f64 d h)))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) #s(approx (sqrt (* (/ (/ d l) h) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))))) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal -1/8 binary64) h)) (*.f64 d d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
2 calls:
| 7.0ms | d |
| 6.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.4% | 4 | d |
| 66.7% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 36 to 27 computations (25% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (neg.f64 (sqrt.f64 (/.f64 d h)))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
5 calls:
| 22.0ms | D |
| 20.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 6.0ms | l |
| 6.0ms | M |
| 6.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.3% | 4 | l |
| 45.7% | 2 | D |
| 50.3% | 2 | (*.f64 M D) |
| 51.5% | 2 | M |
| 60.5% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 41 to 43 computations (-4.9% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (neg.f64 (sqrt.f64 (/.f64 d h)))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
| Outputs |
|---|
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (neg.f64 (sqrt.f64 (/.f64 d h)))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
2 calls:
| 14.0ms | h |
| 6.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.3% | 3 | h |
| 54.2% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 36 to 27 computations (25% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* 1/4 (pow (/ (/ d D) M) -2)) -1/2) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (/ h 1) (/ (* (* (/ M d) (/ D 2)) (* (* (/ M d) (/ D 2)) -1/2)) l)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d))))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.2% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
5 calls:
| 30.0ms | (*.f64 M D) |
| 4.0ms | l |
| 4.0ms | d |
| 4.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 4.0ms | M |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.1% | 4 | l |
| 43.2% | 2 | (*.f64 M D) |
| 45.6% | 2 | d |
| 43.6% | 2 | M |
| 50.0% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 41 to 43 computations (-4.9% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
5 calls:
| 31.0ms | D |
| 3.0ms | d |
| 3.0ms | h |
| 3.0ms | l |
| 3.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.6% | 2 | d |
| 43.5% | 2 | D |
| 46.8% | 3 | l |
| 45.2% | 2 | h |
| 45.1% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 39 to 42 computations (-7.7% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (* (sqrt (* (/ (/ d l) h) d)) (/ h l)) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (+ (* (/ (* (/ d (sqrt (* l h))) h) l) (* -1/2 (pow (* (/ 2 M) (/ d D)) -2))) (sqrt (* (/ (/ d l) h) d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
4 calls:
| 3.0ms | d |
| 3.0ms | l |
| 3.0ms | h |
| 3.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.1% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 41.4% | 1 | h |
| 43.1% | 2 | l |
| 41.4% | 1 | d |
Compiled 38 to 37 computations (2.6% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 2.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.0% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
7 calls:
| 5.0ms | M |
| 1.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 1.0ms | d |
| 1.0ms | D |
| 1.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.4% | 1 | d |
| 25.4% | 1 | h |
| 25.4% | 1 | l |
| 25.4% | 1 | (*.f64 M D) |
| 25.4% | 1 | D |
| 25.4% | 1 | M |
| 25.4% | 1 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 43 to 53 computations (-23.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 74.0ms | 2.331463776146473e+108 | 4.182655015728949e+111 |
| 89.0ms | -4.787602124399855e-287 | 1.741878416935339e-307 |
| 71.0ms | 304× | 0 | valid |
| 68.0ms | 334× | 0 | invalid |
Compiled 1 359 to 1 021 computations (24.9% saved)
ival-mult: 41.0ms (39% of total)ival-pow: 31.0ms (29.5% of total)ival-div: 22.0ms (20.9% of total)ival-pow2: 7.0ms (6.7% of total)ival-sub: 3.0ms (2.9% of total)ival-true: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.099943883267394e+170 | 7.967876067558544e+173 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.099943883267394e+170 | 7.967876067558544e+173 |
| 0.0ms | -7.641287752517474e-30 | -4.656758246700925e-50 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.099943883267394e+170 | 7.967876067558544e+173 |
| 0.0ms | -1.4163664485925583e+62 | -7.02933604290653e+58 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.099943883267394e+170 | 7.967876067558544e+173 |
| 0.0ms | -1.4163664485925583e+62 | -7.02933604290653e+58 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.099943883267394e+170 | 7.967876067558544e+173 |
| 0.0ms | -7.641287752517474e-30 | -4.656758246700925e-50 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.099943883267394e+170 | 7.967876067558544e+173 |
| 0.0ms | -1.4163664485925583e+62 | -7.02933604290653e+58 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.099943883267394e+170 | 7.967876067558544e+173 |
| 0.0ms | -1.4163664485925583e+62 | -7.02933604290653e+58 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.099943883267394e+170 | 7.967876067558544e+173 |
| 0.0ms | -1.4163664485925583e+62 | -7.02933604290653e+58 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.099943883267394e+170 | 7.967876067558544e+173 |
| 0.0ms | -9.474459331572619e+98 | -1.4163664485925583e+62 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.099943883267394e+170 | 7.967876067558544e+173 |
| 0.0ms | -1.4240241033340519e-183 | 0.0 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.099943883267394e+170 | 7.967876067558544e+173 |
| 0.0ms | -0.0 | 1.176907584483222e-230 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.154173230730709e+145 | 1.123283600904831e+146 |
| 0.0ms | 1.5321715859398154e-163 | 6.266529481984043e-159 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 57.0ms | 5.2884398012016505e-266 | 2.3415622425933512e-262 |
| 26.0ms | 178× | 0 | invalid |
| 20.0ms | 128× | 0 | valid |
Compiled 742 to 494 computations (33.4% saved)
ival-mult: 12.0ms (35.6% of total)ival-div: 11.0ms (32.7% of total)ival-pow: 6.0ms (17.8% of total)ival-pow2: 3.0ms (8.9% of total)ival-sub: 1.0ms (3% of total)ival-true: 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 | -7.641287752517474e-30 | -4.656758246700925e-50 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -4.656758246700925e-50 | -1.4240241033340519e-183 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 2634 |
| 1 | 290 | 2634 |
| 2 | 341 | 2632 |
| 3 | 404 | 2632 |
| 4 | 489 | 2632 |
| 5 | 595 | 2632 |
| 6 | 752 | 2632 |
| 7 | 1017 | 2632 |
| 8 | 1427 | 2632 |
| 9 | 1851 | 2632 |
| 10 | 2165 | 2632 |
| 11 | 2361 | 2632 |
| 12 | 2460 | 2632 |
| 13 | 2549 | 2632 |
| 14 | 2648 | 2632 |
| 15 | 2757 | 2632 |
| 16 | 2890 | 2632 |
| 17 | 3007 | 2632 |
| 18 | 3058 | 2632 |
| 19 | 3087 | 2632 |
| 20 | 3106 | 2632 |
| 21 | 3248 | 2632 |
| 22 | 3395 | 2632 |
| 23 | 3456 | 2632 |
| 24 | 3535 | 2632 |
| 25 | 3568 | 2632 |
| 26 | 3568 | 2632 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 h #s(literal -2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 h #s(literal 719999999999999936870430763168456110126349631082750643852117439898683928281576154137543023572543021527787896832 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) l) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 (/.f64 h #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) #s(literal -1/2 binary64))) l) #s(literal 1 binary64)) (/.f64 (sqrt.f64 d) (sqrt.f64 h))) (sqrt.f64 (/.f64 d l))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 D M) d) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -7136238463529799/1427247692705959881058285969449495136382746624 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 D D) d) h) (*.f64 (/.f64 (*.f64 M M) l) #s(literal -1/8 binary64))) d)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -100000000000000003502199685943161173046080317798311825604870144 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -100000000000000003502199685943161173046080317798311825604870144 binary64)) (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 D) (/.f64 D d)) (*.f64 #s(literal -1/8 binary64) h)) (neg.f64 d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
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(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -499999999999999983668084402058345636924766592903277736458980889735647922960863931304369934227734528 binary64)) (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 d (sqrt.f64 (*.f64 l h)))) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -4784065733063811/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (neg.f64 (sqrt.f64 (/.f64 d h)))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 0 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 6483618076376551/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 49999999999999996681683364986231121055509847158923091289463001947809936825071710129649256226662527266508888537465191395528952846213699856588865536 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 d #s(literal 7260824748426675/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -7136238463529799/1427247692705959881058285969449495136382746624 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -8424983333484575/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| Outputs |
|---|
(if (<=.f64 h #s(literal -2024022533073/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 d D) (/.f64 #s(literal 2 binary64) M)) #s(literal -2 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 h #s(literal 719999999999999936870430763168456110126349631082750643852117439898683928281576154137543023572543021527787896832 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D M) d)) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D M) d)) #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (fma.f64 h (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal -1/2 binary64)) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) l) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D M) d)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 D M) d)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal -7136238463529799/1427247692705959881058285969449495136382746624 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) l)) (*.f64 (/.f64 (*.f64 D D) d) h)) d)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal -100000000000000003502199685943161173046080317798311825604870144 binary64)) (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal -100000000000000003502199685943161173046080317798311825604870144 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 D d) D) (*.f64 #s(literal -1/8 binary64) h)) d) (/.f64 (*.f64 M M) l)))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal -7136238463529799/1427247692705959881058285969449495136382746624 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M M) l)) (*.f64 (/.f64 (*.f64 D D) d) h)) d))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal -100000000000000003502199685943161173046080317798311825604870144 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l)))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal -100000000000000003502199685943161173046080317798311825604870144 binary64)) (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 #s(approx (* (* (/ (/ (* D D) d) d) h) -1/8) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) h) d) (/.f64 (*.f64 D D) d))) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal -100000000000000003502199685943161173046080317798311825604870144 binary64)) (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) h) (*.f64 D D)) (*.f64 d d)) (/.f64 (*.f64 M M) l))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal -499999999999999983668084402058345636924766592903277736458980889735647922960863931304369934227734528 binary64)) (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 D D) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 M M) l))) (/.f64 d (sqrt.f64 (*.f64 l h)))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal -4784065733063811/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022976 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (/ (sqrt (neg d)) (sqrt (neg h)))) (neg.f64 (sqrt.f64 (/.f64 d h)))) (sqrt.f64 (/.f64 d l))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal 0 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal 999999999999999953972206729656870211732987713739100709830741553196290713284945813208338477706166412373726001850053663010587168093173889073910282723323583537144858509574144 binary64)) (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal 6483618076376551/32418090381882757488378186435087196492284736189394038281216072888208225089163344893747711319899248392876545989150787415487462117776654494592866209641515341305165482839074293153792 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (neg.f64 d))) (if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal 49999999999999996681683364986231121055509847158923091289463001947809936825071710129649256226662527266508888537465191395528952846213699856588865536 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 d #s(literal 7260824748426675/2269007733883335972287082669296112915239349672942191252221331572442536403137824056312817862695551072066953619064625508194663368599769448406663254670871573830845597595897613333042429214224697474472410882236254024057110212260250671521235807709272244389361641091086035023229622419456 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 h) (sqrt.f64 l))))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal -7136238463529799/1427247692705959881058285969449495136382746624 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
(if (<=.f64 (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 D M) (*.f64 d #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 h l)) #s(literal -1 binary64)) (*.f64 (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))) #s(literal -8424983333484575/210624583337114373395836055367340864637790190801098222508621955072 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 240 | 16900 |
| 1 | 686 | 16483 |
| 2 | 2418 | 16399 |
| 3 | 5437 | 16318 |
| 0 | 8434 | 15943 |
| 0 | 65 | 301 |
| 0 | 105 | 297 |
| 1 | 302 | 280 |
| 2 | 1971 | 266 |
| 0 | 8508 | 266 |
| 0 | 84 | 431 |
| 0 | 135 | 398 |
| 1 | 433 | 392 |
| 2 | 3305 | 370 |
| 0 | 8853 | 370 |
| 0 | 77 | 386 |
| 0 | 121 | 373 |
| 1 | 393 | 355 |
| 2 | 2870 | 327 |
| 0 | 8522 | 327 |
| 0 | 249 | 14829 |
| 1 | 706 | 14213 |
| 2 | 2472 | 14115 |
| 3 | 5991 | 14073 |
| 0 | 8372 | 13728 |
| 0 | 22 | 72 |
| 0 | 38 | 68 |
| 1 | 124 | 67 |
| 2 | 828 | 67 |
| 0 | 8730 | 65 |
| 0 | 259 | 16601 |
| 1 | 743 | 16247 |
| 2 | 2593 | 16175 |
| 3 | 5668 | 16092 |
| 0 | 8169 | 15726 |
| 0 | 147 | 3951 |
| 1 | 413 | 3789 |
| 2 | 1500 | 3752 |
| 3 | 4172 | 3682 |
| 4 | 7950 | 3682 |
| 0 | 8170 | 3598 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node 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× | node limit |
| 1× | iter 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 |
Compiled 4 494 to 1 484 computations (67% saved)
(sort M D)
(abs M)
(abs D)
Compiled 6 246 to 836 computations (86.6% saved)
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