
Time bar (total: 17.4s)
| 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)
| 2.4s | 12 932× | 0 | invalid |
| 1.6s | 8 256× | 0 | valid |
ival-div: 983.0ms (33.1% of total)ival-mult: 844.0ms (28.4% of total)ival-pow: 610.0ms (20.5% of total)ival-pow2: 344.0ms (11.6% of total)ival-sub: 141.0ms (4.7% of total)exact: 21.0ms (0.7% of total)ival-true: 19.0ms (0.6% of total)ival-assert: 8.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 66 | 0 | - | 2 | (-6.465911352828614e-71 -1.4165378893098573e+245 -2.682059380810935e-204 -1.6230022289026683e+215 -2.2881558322529103e-235) | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 56 | 0 | - | 1 | (1.4748323568740112e-298 9.956146075595031e-86 107262663785902530.0 -1108014964.700195 1.8428144730538227e-257) | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 38 | 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)) |
| 27 | 0 | - | 1 | (-6.188435973437996e-306 -8.454629108779341e+142 -2.5738721952527013e-230 5.011508650490215e-54 -1.3252714688484648e-260) | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 21 | 0 | - | 1 | (-8.638679669983892e-268 -123.68752966964422 -5.044504835714869e+109 38017825550581.31 -3.665596361782111e-173) | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 0 | 0 | - | 0 | - | D |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) d) |
| 0 | 0 | - | 0 | - | (/.f64 h l) |
| 0 | 0 | - | 0 | - | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 d l) |
| 0 | 0 | - | 0 | - | (*.f64 M D) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 d h) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | l |
| 0 | 0 | - | 0 | - | (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | M |
| 0 | 0 | - | 0 | - | h |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 33 | 0 |
| ↳ | (/.f64 d h) | overflow | 33 | |
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 31 | 0 |
| ↳ | (/.f64 d l) | overflow | 31 | |
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 31 | 0 |
| ↳ | (/.f64 d h) | underflow | 31 | |
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 24 | 0 |
| ↳ | (/.f64 d l) | underflow | 24 | |
*.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 | 14 | 0 |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | o/n | 14 | 0 |
| ↳ | (*.f64 M D) | overflow | 31 | |
*.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 | 12 | 0 |
*.f64 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | u*o | 7 | 0 |
| ↳ | (/.f64 d h) | underflow | 31 | |
| ↳ | (/.f64 d l) | underflow | 24 | |
| ↳ | (*.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 | 11 | |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 77 | |
| ↳ | (/.f64 h l) | overflow | 36 | |
| ↳ | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) | overflow | 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 | 31 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 32 | |
| ↳ | (*.f64 (/.f64 #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 | 77 | |
| ↳ | (*.f64 #s(literal 2 binary64) d) | overflow | 1 | |
*.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 | 77 | |
| ↳ | (*.f64 M D) | overflow | 31 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 32 | |
| ↳ | (*.f64 (/.f64 #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 | 77 | |
| ↳ | (*.f64 #s(literal 2 binary64) d) | overflow | 1 | |
| ↳ | (/.f64 h l) | underflow | 20 | |
*.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 | 1 | 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)) | u*o | 1 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | underflow | 81 | |
| ↳ | (*.f64 (/.f64 #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 | 81 | |
| ↳ | (*.f64 M D) | underflow | 26 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | underflow | 45 | |
| ↳ | (/.f64 h l) | overflow | 36 | |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | u/n | 1 | 0 |
| ↳ | (*.f64 M D) | underflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 87 | 2 |
| - | 41 | 126 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 87 | 0 | 2 |
| - | 41 | 0 | 126 |
| number | freq |
|---|---|
| 0 | 128 |
| 1 | 94 |
| 2 | 25 |
| 3 | 9 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 112.0ms | 512× | 0 | valid |
Compiled 347 to 70 computations (79.8% saved)
ival-pow: 22.0ms (29.2% of total)ival-mult: 20.0ms (26.5% of total)ival-div: 19.0ms (25.2% of total)ival-pow2: 10.0ms (13.3% of total)ival-sub: 2.0ms (2.7% of total)ival-true: 1.0ms (1.3% of total)exact: 1.0ms (1.3% 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 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(abs D)
(abs M)
(sort M D)
Compiled 35 to 22 computations (37.1% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.8% | (*.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 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #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))) |
(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 #s(literal 1 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 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #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 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) |
(*.f64 M D) |
(*.f64 D M) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.254446723876653 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | |
| accuracy | 9.017631116646974 | (*.f64 (*.f64 (/.f64 #s(literal 1 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 | 13.082194980945287 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 15.400360527995304 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 71.0ms | 256× | 0 | valid |
Compiled 156 to 24 computations (84.6% saved)
ival-pow: 11.0ms (28% of total)ival-div: 9.0ms (22.9% of total)ival-sub: 8.0ms (20.4% of total)ival-mult: 8.0ms (20.4% of total)ival-pow2: 2.0ms (5.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 h) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 h) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 h) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 h) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 h) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 h) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 h) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ d h)) (taylor inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf h) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) (taylor inf h) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) (taylor inf h) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) (taylor inf h) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf h) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf h) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf h) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor inf h) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ d h)) (pow (sqrt -1) 2)) (taylor -inf h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf h) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) (taylor -inf h) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) (taylor -inf h) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) (taylor -inf h) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf h) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf h) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf h) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf h) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 M) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 M) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 M) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) (taylor -inf d) (#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf d) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor -inf d) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor -inf d) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | 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)) (/ (* M D) (* 2 d))) |
| 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)) (/ (* M D) (* 2 d))) |
| 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)) (/ (* M D) (* 2 d))) |
| 3.0ms | 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)) (/ (* M D) (* 2 d))) |
| 3.0ms | 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)) (/ (* M D) (* 2 d))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 2502 |
| 1 | 172 | 2470 |
| 2 | 621 | 2470 |
| 3 | 3321 | 2470 |
| 4 | 5958 | 2470 |
| 5 | 7982 | 2470 |
| 0 | 8092 | 2425 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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))) |
(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))) |
(* (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 |
(+ 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))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* -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))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* -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))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) 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))) |
(/ (- 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))) |
(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))) |
(* (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))) |
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))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* -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))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* -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))) |
(* 1/2 (/ (* 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)) |
(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))) |
(* 1/2 (/ (* 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)) |
(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))) |
(* 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))) |
(* -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))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
| Outputs |
|---|
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d)) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 d h))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 d h))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 d h))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 d h))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d)) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d)) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d)) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d)) |
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 d l))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 d l))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 d l))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 d l))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d)) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d)) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d)) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d) #s(literal 1 binary64)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 50 |
| 0 | 34 | 48 |
| 1 | 114 | 48 |
| 2 | 719 | 48 |
| 3 | 7801 | 48 |
| 0 | 8835 | 47 |
| 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 M D) (*.f64 #s(literal 2 binary64) d)) |
| 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 (sqrt.f64 d) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) |
(*.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 #s(literal 1/4 binary64) (log.f64 (/.f64 d h)) (*.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 d h))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 d h))) #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))) |
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(/.f64 (*.f64 (*.f64 (neg.f64 M) D) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64)) (*.f64 (neg.f64 M) D))) |
(/.f64 (*.f64 (*.f64 D M) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64)) (*.f64 D M))) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))) (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) d)) d) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -2 binary64)) d)) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) d) d)) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) d) d)) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) (*.f64 (*.f64 d (/.f64 d D)) (/.f64 #s(literal 2 binary64) M))) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (neg.f64 M) D)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64)) (*.f64 (neg.f64 M) D))) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/2 binary64)) d)) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 D M) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 D M)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal 2 binary64)) (*.f64 D M))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) h)) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) h) #s(literal 1 binary64)) (neg.f64 l)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 h) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)))) l) |
(/.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) l) (pow.f64 h #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) h) (neg.f64 l)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 l h) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 (neg.f64 l) h)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 l h)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 l h) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l h) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))) (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (*.f64 #s(literal 1 binary64) M) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) |
(*.f64 (/.f64 (neg.f64 M) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) |
(*.f64 (/.f64 (neg.f64 D) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 M) d) (/.f64 D #s(literal -2 binary64))) |
(*.f64 (/.f64 (neg.f64 M) #s(literal 2 binary64)) (/.f64 D (neg.f64 d))) |
(*.f64 (/.f64 (neg.f64 D) d) (/.f64 M #s(literal -2 binary64))) |
(*.f64 (/.f64 (neg.f64 D) #s(literal 2 binary64)) (/.f64 M (neg.f64 d))) |
(*.f64 (/.f64 D #s(literal -1 binary64)) (/.f64 (neg.f64 M) (*.f64 #s(literal 2 binary64) d))) |
(*.f64 (/.f64 M #s(literal -2 binary64)) (/.f64 (neg.f64 D) d)) |
(*.f64 (/.f64 M #s(literal -1 binary64)) (/.f64 (neg.f64 D) (*.f64 #s(literal 2 binary64) d))) |
(*.f64 (/.f64 M (neg.f64 d)) (/.f64 (neg.f64 D) #s(literal 2 binary64))) |
(*.f64 (/.f64 D (neg.f64 d)) (/.f64 (neg.f64 M) #s(literal 2 binary64))) |
(*.f64 (/.f64 D #s(literal -2 binary64)) (/.f64 (neg.f64 M) d)) |
(*.f64 (exp.f64 (log.f64 (*.f64 M #s(literal 1/2 binary64)))) (exp.f64 (log.f64 (/.f64 D d)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) d)))) |
(*.f64 (exp.f64 (log.f64 M)) (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64)) (pow.f64 (/.f64 d M) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d M) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 M d) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 M d) #s(literal 1 binary64)) (pow.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) #s(literal 1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 M) D) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64))) |
(*.f64 (pow.f64 D #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 D M) (neg.f64 d))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) d) (*.f64 (neg.f64 M) D)) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) #s(literal 1 binary64))) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 M d)) |
(*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 M d) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 M) (*.f64 D (/.f64 #s(literal -1/2 binary64) d))) |
(*.f64 (neg.f64 M) (/.f64 D (*.f64 #s(literal -2 binary64) d))) |
(*.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 d))) |
(*.f64 (neg.f64 D) (/.f64 M (*.f64 #s(literal -2 binary64) d))) |
(*.f64 (neg.f64 D) (*.f64 M (/.f64 #s(literal -1/2 binary64) d))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 M #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) M) |
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) (*.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (pow.f64 (*.f64 D M) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 D M)) |
(*.f64 (/.f64 D d) (*.f64 (*.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 D d) (*.f64 M #s(literal 1/2 binary64))) |
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) #s(literal 1 binary64))) |
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 D d)) |
(*.f64 (*.f64 (neg.f64 M) D) (*.f64 (/.f64 #s(literal -1/2 binary64) d) #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 M) D) (/.f64 #s(literal -1/2 binary64) d)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) |
(*.f64 (*.f64 D M) (/.f64 #s(literal 1/2 binary64) d)) |
(*.f64 D (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) #s(literal 1 binary64))) |
(*.f64 D (*.f64 (*.f64 M #s(literal 1/2 binary64)) (pow.f64 d #s(literal -1 binary64)))) |
(*.f64 D (*.f64 (neg.f64 M) (/.f64 #s(literal -1/2 binary64) d))) |
(*.f64 D (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 M #s(literal 1/2 binary64)))) |
(*.f64 D (*.f64 (/.f64 #s(literal 1/2 binary64) d) M)) |
(*.f64 M (*.f64 #s(literal 1/2 binary64) (/.f64 D d))) |
(*.f64 M (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) #s(literal 1 binary64))) |
(*.f64 M (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 D d) M)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) |
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) #s(literal -1 binary64)) d) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 (neg.f64 M) D) (pow.f64 d #s(literal -1 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (neg.f64 M) (/.f64 D d)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 D d) (neg.f64 M)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 D d) M)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 D M) #s(literal -1/2 binary64))) (neg.f64 d)) |
(/.f64 (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 D M)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d D)) |
(/.f64 (*.f64 M #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 d D))) |
(/.f64 (*.f64 (/.f64 D d) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) M)) |
(/.f64 (*.f64 #s(literal 1 binary64) M) (*.f64 #s(literal 2 binary64) (/.f64 d D))) |
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (/.f64 (*.f64 (neg.f64 M) D) d) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 D d) M)) #s(literal -2 binary64)) |
(/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D))) (exp.f64 (log.f64 d))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 M) D))) (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d)))) |
(/.f64 (exp.f64 (log.f64 (*.f64 D M))) (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) d)))) |
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) |
(/.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) M) D)) |
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) |
(/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) D)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) (neg.f64 d)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 d D) M))) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) |
(/.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (*.f64 D M) #s(literal -1 binary64))) |
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M)) |
(/.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 d D)) |
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 M (*.f64 #s(literal 2 binary64) (/.f64 d D))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d D) M)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 D d) M))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) d)) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 D M) #s(literal -1/2 binary64)) d)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D))) |
Compiled 24 168 to 1 963 computations (91.9% saved)
26 alts after pruning (26 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 573 | 26 | 599 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 574 | 26 | 600 |
| Status | Accuracy | Program |
|---|---|---|
| 66.6% | (*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 h d) #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)))) | |
| ▶ | 66.7% | (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 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)))) |
| 67.8% | (*.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 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #s(literal 1 binary64))) | |
| 69.9% | (*.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)))) (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) #s(literal 1 binary64))) | |
| 62.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.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))) | |
| ▶ | 71.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))) |
| 62.3% | (*.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 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d)))) | |
| 69.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)))) | |
| ▶ | 64.2% | (*.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 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)))) |
| 56.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 2 binary64)) (*.f64 D M))))) | |
| 68.8% | (*.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 #s(literal 1/2 binary64) d) M) D) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (/.f64 l h))))) | |
| 63.0% | (*.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 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 (/.f64 h l) #s(literal 1/2 binary64)))))) | |
| 50.1% | (*.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 d d)) D) (*.f64 (/.f64 (*.f64 (*.f64 M M) h) l) D))))) | |
| 22.6% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) h) #s(literal -1/8 binary64)) d) l) (/.f64 (*.f64 D D) d)))) | |
| ▶ | 39.3% | (*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
| 40.7% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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)))) | |
| 30.5% | (*.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)))) | |
| 66.8% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 66.7% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.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 #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)))) | |
| 30.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 40.7% | (*.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)))) | |
| 66.8% | (*.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)))) | |
| 43.9% | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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)))) | |
| 33.8% | (*.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)))) | |
| ▶ | 66.6% | (*.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)))) |
| 44.0% | (*.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) 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)))) |
Compiled 1 840 to 1 260 computations (31.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 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)))) | |
| 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 | 320 | (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) | |
| 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))) | |
| 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 | 320 | (*.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)))) | |
| 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 | 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))) #s(literal 1 binary64))) | |
| 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))) | |
| 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))) | |
| cost-diff | 6848 | (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 703 |
| 0 | 110 | 685 |
| 1 | 210 | 661 |
| 2 | 670 | 647 |
| 3 | 4582 | 647 |
| 0 | 8221 | 637 |
| 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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))) |
(*.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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
M |
D |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 D #s(literal 1/2 binary64)) |
(/.f64 M d) |
(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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.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 |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) |
(*.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)))) |
(*.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) (sqrt.f64 (/.f64 h d))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h d) |
h |
d |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(/.f64 #s(literal 1 binary64) #s(literal 2 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 #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) |
(*.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 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)))) |
(*.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 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D))) |
(*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) |
(*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) |
(*.f64 (/.f64 h l) #s(literal 1/2 binary64)) |
(/.f64 h l) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) |
(*.f64 D #s(literal 1/2 binary64)) |
D |
(*.f64 (/.f64 M d) M) |
(/.f64 M d) |
M |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) D) |
(/.f64 #s(literal 1/2 binary64) d) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 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 h d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(/.f64 h d) |
h |
d |
#s(literal -1/2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#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 #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 (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 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) D)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))) |
(*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) D))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) |
(*.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) l) (/.f64 D d)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(*.f64 M (/.f64 #s(literal 1/2 binary64) d)) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
M |
D |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 M d) h) #s(literal 1/4 binary64)) D) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) |
(*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) D) |
(*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/4 binary64) D) |
(*.f64 D #s(literal 1/2 binary64)) |
(/.f64 M d) |
(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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) |
(*.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)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
(*.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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h d) |
h |
d |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 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 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #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 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) 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)) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) |
(*.f64 M D) |
(*.f64 D M) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #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 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 D d)) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) D)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)) |
(*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) D))) |
(*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) |
(*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 (*.f64 (/.f64 M d) M) D)) |
(*.f64 (/.f64 h l) #s(literal 1/2 binary64)) |
(/.f64 h l) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) |
(*.f64 (*.f64 M (*.f64 D M)) (/.f64 #s(literal 1/2 binary64) d)) |
(*.f64 D #s(literal 1/2 binary64)) |
D |
(*.f64 (/.f64 M d) M) |
(/.f64 M d) |
M |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) D) |
(*.f64 D (/.f64 #s(literal 1/2 binary64) d)) |
(/.f64 #s(literal 1/2 binary64) d) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 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 h d) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d l))) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(/.f64 h d) |
h |
d |
#s(literal -1/2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#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 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) #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 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) 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)) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 (/.f64 (/.f64 M #s(literal 2 binary64)) d) D) |
(*.f64 M 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 | 6.254446723876653 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | |
| accuracy | 9.017631116646974 | (*.f64 (*.f64 (/.f64 #s(literal 1 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 | 13.082194980945287 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 15.311338735723131 | (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) | |
| accuracy | 7.685561842612853 | (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) | |
| accuracy | 10.029530921089025 | (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) | |
| accuracy | 13.082194980945287 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 15.400360527995304 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 6.254446723876653 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | |
| accuracy | 9.017631116646974 | (*.f64 (*.f64 (/.f64 #s(literal 1 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 | 13.082194980945287 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 15.328309338659945 | (sqrt.f64 (/.f64 h d)) | |
| accuracy | 5.064685467701401 | (*.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))) | |
| accuracy | 13.082194980945287 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 15.400360527995304 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 32.00114581682227 | #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) | |
| accuracy | 5.466070152167238 | (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) | |
| accuracy | 5.47228528140134 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) | |
| accuracy | 13.082194980945287 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 15.400360527995304 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 192.0ms | 256× | 0 | valid |
Compiled 779 to 56 computations (92.8% saved)
ival-pow: 80.0ms (52.2% of total)ival-mult: 36.0ms (23.5% of total)ival-div: 28.0ms (18.3% of total)ival-sub: 3.0ms (2% of total)ival-sqrt: 2.0ms (1.3% of total)ival-pow2: 2.0ms (1.3% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ()) |
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#s(alt (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 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)))) (patch (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (patch (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) (patch (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) (patch (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) (patch (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
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#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 h) (#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor 0 h) (#s(alt (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (patch (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor 0 h) (#s(alt (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (patch (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor 0 h) (#s(alt (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (patch (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) (taylor 0 h) (#s(alt (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (patch (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) #<representation binary64>) () ())) ()) |
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 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)))) (patch (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#s(alt (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 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)))) (patch (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#s(alt (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 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)))) (patch (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 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)))) #<representation binary64>) () ())) ()) |
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15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | d | @ | 0 | ((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ h l) 1/2) (* (* D 1/2) (* (/ M d) M))) (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ 1/2 d) M) D) (* (* 1/2 (* D 1/2)) (/ M d)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ h d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (* (* D 1/2) (* (/ M d) M)) (pow (/ h d) -1/2)) |
| 9.0ms | l | @ | inf | ((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ h l) 1/2) (* (* D 1/2) (* (/ M d) M))) (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ 1/2 d) M) D) (* (* 1/2 (* D 1/2)) (/ M d)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ h d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (* (* D 1/2) (* (/ M d) M)) (pow (/ h d) -1/2)) |
| 7.0ms | h | @ | -inf | ((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ h l) 1/2) (* (* D 1/2) (* (/ M d) M))) (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ 1/2 d) M) D) (* (* 1/2 (* D 1/2)) (/ M d)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ h d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (* (* D 1/2) (* (/ M d) M)) (pow (/ h d) -1/2)) |
| 7.0ms | d | @ | -inf | ((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ h l) 1/2) (* (* D 1/2) (* (/ M d) M))) (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ 1/2 d) M) D) (* (* 1/2 (* D 1/2)) (/ M d)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ h d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (* (* D 1/2) (* (/ M d) M)) (pow (/ h d) -1/2)) |
| 7.0ms | D | @ | 0 | ((/ (* (* 1/2 (* D 1/2)) (/ M d)) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ h l) 1/2) (* (* D 1/2) (* (/ M d) M))) (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* (/ 1/2 d) M) D) (* (* 1/2 (* D 1/2)) (/ M d)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (sqrt (/ h d)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d)) (* (* D 1/2) (* (/ M d) M)) (pow (/ h d) -1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 9238 |
| 1 | 477 | 9038 |
| 2 | 1678 | 8958 |
| 3 | 4040 | 8932 |
| 0 | 8013 | 8764 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d 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)))) |
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)))) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
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(* 1/4 (/ (* D (* (pow M 2) h)) (* d 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 |
(+ 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 (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
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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) 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)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(* -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)))))) |
(* 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) 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))))) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d 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)))))) |
(* -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))))) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(* 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)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* (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) (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))))))))) |
(* d (sqrt (/ 1 (* h l)))) |
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(* -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))) |
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(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
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(* 1/4 (/ (* D (* (pow M 2) h)) (* d 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))))))))) |
(* -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 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) |
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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) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 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)))) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
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(* 1/4 (/ (* D (* (pow M 2) h)) (* d 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))))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
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))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* -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))))) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d 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)))))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 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) h)) (* (pow d 2) l))) |
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(* (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))) |
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(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
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(* 1/4 (/ (* D (* M h)) d)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
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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)))))) |
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
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(* 1/4 (/ (* D (* (pow M 2) h)) (* d 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)))))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 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) 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))) |
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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))))))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
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)))) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(* 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)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) 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))) |
(* -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 (* (* 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 (sqrt (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* 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)))) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d 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))))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
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)))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(* (sqrt (/ h d)) (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)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(* 1/2 (/ (* D (pow M 2)) 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))) |
| Outputs |
|---|
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M D) M)) l) (/.f64 h d)) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M D) M)) l) (/.f64 h d)) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M D) M)) l) (/.f64 h d)) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M D) M)) l) (/.f64 h d)) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)) |
(sqrt (/ h d)) |
(sqrt.f64 (/.f64 h d)) |
(sqrt (/ h d)) |
(sqrt.f64 (/.f64 h d)) |
(sqrt (/ h d)) |
(sqrt.f64 (/.f64 h d)) |
(sqrt (/ h d)) |
(sqrt.f64 (/.f64 h d)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l)))) d) (/.f64 h d)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l)))) d) (/.f64 h d)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l)))) d) (/.f64 h d)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l)))) d) (/.f64 h d)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(*.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)))))) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l)) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) 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)) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) 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)) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) 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)) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M D) M)) l) (/.f64 h d)) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M D) M)) l) (/.f64 h d)) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M D) M)) l) (/.f64 h d)) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M D) M)) l) (/.f64 h d)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(*.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)))))) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l)) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) 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)) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) 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)) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) 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)) |
(sqrt (/ h d)) |
(sqrt.f64 (/.f64 h d)) |
(sqrt (/ h d)) |
(sqrt.f64 (/.f64 h d)) |
(sqrt (/ h d)) |
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(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l)))) d) (/.f64 h d)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l)))) d) (/.f64 h d)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(*.f64 (*.f64 M (/.f64 (*.f64 M D) d)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(*.f64 (*.f64 M (/.f64 (*.f64 M D) d)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(*.f64 (*.f64 M (/.f64 (*.f64 M D) d)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(*.f64 (*.f64 M (/.f64 (*.f64 M D) d)) #s(literal 1/2 binary64)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/4 binary64)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* -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))))) |
(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)) |
(* -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))))) |
(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)) |
(* -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))))) |
(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)) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M D) M)) l) (/.f64 h d)) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M D) M)) l) (/.f64 h d)) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M D) M)) l) (/.f64 h d)) |
(* 1/4 (/ (* D (* (pow M 2) h)) (* d l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M D) M)) l) (/.f64 h d)) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* -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))))) |
(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)) |
(* -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))))) |
(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)) |
(* -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))))) |
(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)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/4 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) 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)) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l)))) d) (/.f64 h d)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l)))) d) (/.f64 h d)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l)))) d) (/.f64 h d)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l)))) d) (/.f64 h d)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(*.f64 (*.f64 M (/.f64 (*.f64 M D) d)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(*.f64 (*.f64 M (/.f64 (*.f64 M D) d)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(*.f64 (*.f64 M (/.f64 (*.f64 M D) d)) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D (pow M 2)) d)) |
(*.f64 (*.f64 M (/.f64 (*.f64 M D) d)) #s(literal 1/2 binary64)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 203 |
| 0 | 92 | 196 |
| 1 | 259 | 182 |
| 2 | 1455 | 182 |
| 0 | 8705 | 178 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 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 (/.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))) |
(*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) |
(sqrt.f64 (/.f64 h d)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 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)) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 (/.f64 d h) M) #s(literal 1/4 binary64)) D) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 (/.f64 d h) M) #s(literal 1/4 binary64)) D) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 M d) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) (*.f64 d (pow.f64 h #s(literal -1/2 binary64)))) (sqrt.f64 h)) |
(*.f64 (/.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) (/.f64 #s(literal -1 binary64) h)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (/.f64 M (*.f64 d (pow.f64 h #s(literal -1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (sqrt.f64 h))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 d (pow.f64 h #s(literal -1/2 binary64)))) (*.f64 M (sqrt.f64 h))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 #s(literal -1 binary64) h)) (/.f64 (neg.f64 M) d)) |
(*.f64 (/.f64 M (/.f64 #s(literal -1 binary64) h)) (/.f64 (*.f64 #s(literal 1/4 binary64) D) (neg.f64 d))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) D) (neg.f64 d)) (/.f64 M (/.f64 #s(literal -1 binary64) h))) |
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 d (pow.f64 h #s(literal -1/2 binary64)))) (/.f64 (*.f64 M #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) h)) (/.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 d))) |
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) (neg.f64 d)) (/.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) h))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 d (pow.f64 h #s(literal -1/2 binary64)))) (/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) M) (pow.f64 h #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) h)) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) D) #s(literal -1 binary64)) (*.f64 (/.f64 M d) h)) |
(*.f64 (/.f64 (/.f64 M d) (neg.f64 (pow.f64 h #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal -1/4 binary64) D) (pow.f64 h #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 M d) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -1/4 binary64) D) (pow.f64 h #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) D) (neg.f64 (pow.f64 h #s(literal -1/2 binary64)))) (/.f64 (/.f64 (neg.f64 M) d) (pow.f64 h #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (pow.f64 h #s(literal -1/2 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) (pow.f64 h #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) (pow.f64 h #s(literal -1/2 binary64))) (*.f64 (pow.f64 d #s(literal -1 binary64)) (sqrt.f64 h))) |
(*.f64 (/.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (/.f64 h d)) |
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 h #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 M d) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 h #s(literal -1/2 binary64))) (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 h #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 h #s(literal -1/2 binary64))) (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 (pow.f64 h #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) D) (pow.f64 h #s(literal -1/2 binary64))) (/.f64 (/.f64 M d) (neg.f64 (pow.f64 h #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (/.f64 (neg.f64 M) d) (pow.f64 h #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) D) (neg.f64 (pow.f64 h #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) D) #s(literal 1 binary64)) (*.f64 (/.f64 M d) h)) |
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 d h))) |
(*.f64 (/.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (/.f64 M d) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d) |
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (neg.f64 M)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 M #s(literal 1/2 binary64)) D) d) |
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) M) d) |
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (pow.f64 M #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) |
(/.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (*.f64 M D) #s(literal -1 binary64))) |
(/.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) D) M)) |
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M)) |
(/.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 d D)) |
(/.f64 (*.f64 (neg.f64 D) M) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 M D) d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) (*.f64 #s(literal -1/2 binary64) (*.f64 M D)))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 #s(literal 1/2 binary64) (*.f64 M D)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (neg.f64 M)))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 M #s(literal 1/2 binary64)) D))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 D #s(literal 1/2 binary64)) M))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 d D) M))) |
(/.f64 (/.f64 M d) (/.f64 #s(literal 2 binary64) D)) |
(/.f64 M (/.f64 (*.f64 #s(literal 2 binary64) d) D)) |
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 d M)) |
(/.f64 D (*.f64 d (/.f64 #s(literal 2 binary64) M))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 d D) M)) |
(neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) d)) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M))) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 M M) (*.f64 D #s(literal 1/2 binary64))) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 M M)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 M d) M) D) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) M) (/.f64 M d)) |
(*.f64 (*.f64 (*.f64 (/.f64 M d) #s(literal 1/2 binary64)) M) D) |
(*.f64 (*.f64 (/.f64 M d) M) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) M) |
(*.f64 (/.f64 M d) (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) |
(*.f64 M (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) |
(*.f64 D (*.f64 (*.f64 (/.f64 M d) #s(literal 1/2 binary64)) M)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 D (*.f64 (/.f64 M d) M))) |
(/.f64 (neg.f64 (*.f64 (*.f64 M M) (*.f64 D #s(literal 1/2 binary64)))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 M M))) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 M M) (*.f64 D #s(literal 1/2 binary64))) d) |
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 M M)) d) |
(/.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) M) (/.f64 d M)) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 M M) (*.f64 D #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 M M)))) |
(/.f64 M (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M))) |
(/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (/.f64 d M) M)) |
(neg.f64 (*.f64 (*.f64 (*.f64 D #s(literal 1/2 binary64)) M) (/.f64 (neg.f64 M) d))) |
(neg.f64 (*.f64 M (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d))) |
(neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) d) M)) |
(neg.f64 (*.f64 (/.f64 (neg.f64 M) d) (*.f64 (*.f64 M D) #s(literal 1/2 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 (sqrt.f64 (*.f64 d (pow.f64 h #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 h #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 d))) |
(*.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 (/.f64 #s(literal -1 binary64) d) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 d (pow.f64 h #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 d))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h))) |
(*.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 (sqrt.f64 d) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 (pow.f64 d #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 d h)))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 h d))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h))) |
(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 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 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 h d) #s(literal 1/4 binary64))) (pow.f64 (/.f64 h d) #s(literal 1/4 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (neg.f64 h) d))) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(/.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 d #s(literal -1/2 binary64))) |
(/.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))) |
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 d h))) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (sqrt.f64 (/.f64 d h)))) |
(sqrt.f64 (/.f64 d h)) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (/.f64 d h)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 h d)) #s(literal -1/4 binary64) (*.f64 (log.f64 (/.f64 h d)) #s(literal -1/4 binary64)))) |
(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 h d)) #s(literal -1/4 binary64)) #s(literal 2 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 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 (sqrt.f64 (/.f64 h d))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) |
Compiled 90 893 to 4 607 computations (94.9% saved)
42 alts after pruning (42 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 442 | 41 | 2 483 |
| Fresh | 20 | 1 | 21 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 467 | 42 | 2 509 |
| Status | Accuracy | Program |
|---|---|---|
| 58.4% | (/.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) | |
| ▶ | 66.3% | (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
| 34.6% | (/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) | |
| 57.2% | (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d))) | |
| 32.5% | (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.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)))) | |
| 25.2% | (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) 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)))) | |
| 35.4% | (*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 37.6% | (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (*.f64 (/.f64 h d) (neg.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)))) | |
| 66.8% | (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 64.0% | (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) | |
| 70.9% | (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) l) (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) h)))) | |
| 69.9% | (*.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)))) (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) #s(literal 1 binary64))) | |
| ▶ | 71.0% | (*.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 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D))))))) |
| 64.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 #s(literal -1 binary64) h)) (/.f64 (neg.f64 M) d))))) | |
| 66.0% | (*.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 h (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (/.f64 M d) M)) l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)))) | |
| 42.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))) | |
| 25.0% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 35.0% | (*.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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))) | |
| 18.9% | (*.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))) #s(literal 1 binary64))) | |
| 24.9% | (*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 64.2% | (*.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 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)))) | |
| ▶ | 26.6% | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
| 38.7% | (*.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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))) | |
| 18.9% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| ▶ | 63.9% | (*.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 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
| 70.9% | (*.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 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) l) (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) h)))) | |
| 66.6% | (*.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 #s(literal 1/2 binary64) d) (*.f64 M D)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 58.7% | (*.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l)))) d) (/.f64 h d))))) | |
| 23.5% | (*.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)))) #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)))) | |
| 40.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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)))) | |
| 30.7% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.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)))) | |
| 8.6% | (*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d h)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 39.3% | (*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) | |
| 33.4% | (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 32.2% | (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 41.7% | (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 20.3% | #s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (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))) | |
| 37.6% | #s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.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)) | |
| 15.6% | #s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.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))))))) | |
| 14.1% | #s(approx (* (* (pow (/ h d) -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)))))) | |
| ▶ | 22.1% | #s(approx (* (* (pow (/ h d) -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)) |
| 30.3% | #s(approx (* (* (pow (/ h d) -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 2 300 to 1 838 computations (20.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 320 | (*.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)))) | |
| cost-diff | 448 | (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)))) | |
| 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 | 0 | (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) | |
| cost-diff | 320 | (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 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 | 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 (/ h d) -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 | 448 | (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D)))))) | |
| 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 | 78 | 605 |
| 0 | 131 | 590 |
| 1 | 254 | 585 |
| 2 | 773 | 553 |
| 3 | 4747 | 553 |
| 4 | 7991 | 553 |
| 0 | 8138 | 543 |
| 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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D))))))) |
(*.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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D))))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
M |
D |
(/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D)))) |
(/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D))) |
(*.f64 M (*.f64 #s(literal 1/4 binary64) D)) |
(*.f64 #s(literal 1/4 binary64) D) |
#s(literal 1/4 binary64) |
#s(approx (* (* (pow (/ h d) -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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(sqrt.f64 (neg.f64 d)) |
(neg.f64 d) |
d |
(sqrt.f64 (neg.f64 h)) |
(neg.f64 h) |
h |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#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 (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) |
(fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) |
(/.f64 h l) |
h |
l |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) |
#s(literal 1/4 binary64) |
(pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) |
(*.f64 D (/.f64 M d)) |
D |
(/.f64 M d) |
M |
d |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h d) |
(*.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 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.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) (sqrt.f64 (/.f64 h d))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h d) |
h |
d |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)))) |
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 M D) d) |
(*.f64 M D) |
M |
D |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) D) h) |
(*.f64 #s(literal 1/4 binary64) D) |
#s(literal 1/4 binary64) |
(/.f64 M d) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D)))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (*.f64 (*.f64 #s(literal 1/4 binary64) h) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) #s(literal 1/2 binary64)) l) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(*.f64 (*.f64 (/.f64 M d) D) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
(*.f64 M (/.f64 #s(literal 1/2 binary64) d)) |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
M |
D |
(/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D)))) |
(/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) |
(/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D))) |
(/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M)) |
(*.f64 M (*.f64 #s(literal 1/4 binary64) D)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) D) M) |
(*.f64 #s(literal 1/4 binary64) D) |
#s(literal 1/4 binary64) |
#s(approx (* (* (pow (/ h d) -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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 d))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (neg.f64 h)))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 d))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(sqrt.f64 (neg.f64 d)) |
(neg.f64 d) |
d |
(sqrt.f64 (neg.f64 h)) |
(neg.f64 h) |
h |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#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 (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) |
(fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64))) |
(/.f64 h l) |
h |
l |
(*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) |
(*.f64 D (/.f64 M d)) |
(*.f64 (/.f64 M d) D) |
D |
(/.f64 M d) |
M |
d |
#s(literal 2 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h d) |
(*.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 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
(*.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 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h d) |
h |
d |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) l) (*.f64 (*.f64 #s(literal 1/4 binary64) h) (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) #s(literal 1/2 binary64)) l) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 M d) D) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 M D) d) |
(*.f64 (/.f64 M d) D) |
(*.f64 M D) |
(*.f64 D M) |
M |
D |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)) |
(/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) D) h) |
(*.f64 #s(literal 1/4 binary64) D) |
#s(literal 1/4 binary64) |
(/.f64 M d) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.846602025939961 | (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) | |
| accuracy | 6.302097107507674 | (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)) | |
| accuracy | 6.410539831610491 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 8.442173395596877 | (sqrt.f64 (/.f64 h d)) | |
| accuracy | 3.1392012779434046 | (*.f64 D (/.f64 M d)) | |
| accuracy | 3.815346739848684 | (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) | |
| accuracy | 6.410539831610491 | (sqrt.f64 (/.f64 d l)) | |
| accuracy | 8.442173395596877 | (sqrt.f64 (/.f64 h d)) | |
| accuracy | 0.178066259768442 | (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) | |
| accuracy | 2.642218333187149 | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| accuracy | 6.410539831610491 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 15.631647105646756 | #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) | |
| accuracy | 0.125 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) | |
| accuracy | 0.4574114602762237 | (/.f64 #s(literal 1 binary64) (*.f64 l h)) | |
| accuracy | 7.295509418416647 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) | |
| accuracy | 32.62842514327471 | #s(approx (* (* (pow (/ h d) -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 | 2.846602025939961 | (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) | |
| accuracy | 3.1376930445560545 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) | |
| accuracy | 6.410539831610491 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 8.387338657271341 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 109.0ms | 137× | 0 | valid |
| 87.0ms | 119× | 0 | invalid |
Compiled 635 to 73 computations (88.5% saved)
ival-mult: 41.0ms (31.9% of total)ival-div: 33.0ms (25.7% of total)ival-pow: 31.0ms (24.1% of total)ival-sqrt: 8.0ms (6.2% of total)ival-pow2: 5.0ms (3.9% of total)ival-neg: 5.0ms (3.9% of total)ival-sub: 3.0ms (2.3% of total)ival-add: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D)))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (pow (/ h d) -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)) (patch #s(approx (* (* (pow (/ h d) -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)) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) (patch (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 l h)) (patch (/.f64 #s(literal 1 binary64) (*.f64 l h)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (patch (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) (patch (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)))) #<representation binary64>) () ()) |
#s(alt (*.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)))) (patch (*.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)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (patch (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (patch (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (patch (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ()) |
#s(alt (*.f64 D (/.f64 M d)) (patch (*.f64 D (/.f64 M d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)) (patch (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (patch (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ d h)) (taylor 0 h) (#s(alt (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (patch (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 h) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D)))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 h) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D)))))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (patch (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (patch (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D M) (* d l))) (taylor -inf d) (#s(alt (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (patch (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) #<representation binary64>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | D | @ | -inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ h (/ d (* M (* 1/4 D)))))) (* (* (pow (/ h d) -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)) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (* (* (/ 1/2 d) M) D) (/ (* (* (/ 1/2 d) M) D) l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (/ h d)) (sqrt (/ d l)) (* D (/ M d)) (* (* (* 1/4 D) h) (/ M d)) (/ (* (/ (* M D) d) 1/2) l)) |
| 18.0ms | l | @ | 0 | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ h (/ d (* M (* 1/4 D)))))) (* (* (pow (/ h d) -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)) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (* (* (/ 1/2 d) M) D) (/ (* (* (/ 1/2 d) M) D) l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (/ h d)) (sqrt (/ d l)) (* D (/ M d)) (* (* (* 1/4 D) h) (/ M d)) (/ (* (/ (* M D) d) 1/2) l)) |
| 13.0ms | h | @ | inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ h (/ d (* M (* 1/4 D)))))) (* (* (pow (/ h d) -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)) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (* (* (/ 1/2 d) M) D) (/ (* (* (/ 1/2 d) M) D) l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (/ h d)) (sqrt (/ d l)) (* D (/ M d)) (* (* (* 1/4 D) h) (/ M d)) (/ (* (/ (* M D) d) 1/2) l)) |
| 7.0ms | d | @ | -inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ h (/ d (* M (* 1/4 D)))))) (* (* (pow (/ h d) -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)) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (* (* (/ 1/2 d) M) D) (/ (* (* (/ 1/2 d) M) D) l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (/ h d)) (sqrt (/ d l)) (* D (/ M d)) (* (* (* 1/4 D) h) (/ M d)) (/ (* (/ (* M D) d) 1/2) l)) |
| 6.0ms | h | @ | -inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (/ (* (* (/ 1/2 d) M) D) l) (/ h (/ d (* M (* 1/4 D)))))) (* (* (pow (/ h d) -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)) (* (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ (sqrt (neg d)) (sqrt (neg h))) (pow (/ d l) (/ 1 2))) (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (* (* (/ 1/2 d) M) D) (/ (* (* (/ 1/2 d) M) D) l) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (/ (sqrt (neg d)) (sqrt (neg h))) (sqrt (/ h d)) (sqrt (/ d l)) (* D (/ M d)) (* (* (* 1/4 D) h) (/ M d)) (/ (* (/ (* M D) d) 1/2) l)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 252 | 14820 |
| 1 | 727 | 14387 |
| 2 | 2638 | 14338 |
| 3 | 6477 | 14311 |
| 0 | 8265 | 13969 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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)))) |
(* 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) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* 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 (/ (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 l)) |
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))) |
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))) |
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
1 |
(+ 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)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* 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)))) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(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)) 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)))))) |
(* 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)) |
(* -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)))))) |
(* 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) 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)) 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)))))) |
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) |
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h)))) |
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h)))) |
(* h (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (sqrt (/ d l)) (/ 1 h)))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (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))))) |
(* 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) 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))))) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* (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) (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))))))))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h 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))))))))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* -1 (* h (+ (* -1 (* d (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
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(* -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) |
(* 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) |
(* 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) 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) |
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) |
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2)) |
(/ (+ (sqrt (/ (pow d 5) l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ d (pow l 3)))))) (pow d 2)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (/ (* (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)) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* 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)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(/ (* D M) d) |
(/ (* D M) d) |
(/ (* D M) d) |
(/ (* D M) d) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* d 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)) |
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)))) |
(* 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))))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* 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)))) |
(* 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)) |
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))))) |
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))))) |
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
1 |
(+ 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)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* 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)))) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(/ (* D M) d) |
(/ (* D M) d) |
(/ (* D M) d) |
(/ (* D M) d) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* d 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))) |
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))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h 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 (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* 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)))) |
(* -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 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2))))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
1 |
(+ 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 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* 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 (sqrt (/ d h))) |
(* -1 (sqrt (/ d h))) |
(* -1 (sqrt (/ d h))) |
(* -1 (sqrt (/ d h))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(* (sqrt (/ h d)) (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 M) d) |
(/ (* D M) d) |
(/ (* D M) d) |
(/ (* D M) d) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* d l))) |
(* 1/2 (/ (* D M) (* d l))) |
| Outputs |
|---|
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt (/ 1 (* h l))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(sqrt (/ 1 (* h l))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(sqrt (/ 1 (* h l))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(sqrt (/ 1 (* h l))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(/ 1 (* h l)) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(/ 1 (* h l)) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(/ 1 (* h l)) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(/ 1 (* h l)) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ h d)) |
(sqrt.f64 (/.f64 h d)) |
(sqrt (/ h d)) |
(sqrt.f64 (/.f64 h d)) |
(sqrt (/ h d)) |
(sqrt.f64 (/.f64 h d)) |
(sqrt (/ h d)) |
(sqrt.f64 (/.f64 h d)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(/ (* D M) d) |
(/.f64 (*.f64 M D) d) |
(/ (* D M) d) |
(/.f64 (*.f64 M D) d) |
(/ (* D M) d) |
(/.f64 (*.f64 M D) d) |
(/ (* D M) d) |
(/.f64 (*.f64 M D) d) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)) |
(* 1/2 (/ (* D M) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* -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))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(* -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))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(* -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))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(*.f64 (neg.f64 d) (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 M M) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d)))) d) |
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d)))) d) |
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) h)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l d)))) d) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal 1 binary64)) |
(* -1 (sqrt (/ d h))) |
(neg.f64 (sqrt.f64 (/.f64 d h))) |
(* -1 (sqrt (/ d h))) |
(neg.f64 (sqrt.f64 (/.f64 d h))) |
(* -1 (sqrt (/ d h))) |
(neg.f64 (sqrt.f64 (/.f64 d h))) |
(* -1 (sqrt (/ d h))) |
(neg.f64 (sqrt.f64 (/.f64 d h))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(/ (* D M) d) |
(/.f64 (*.f64 M D) d) |
(/ (* D M) d) |
(/.f64 (*.f64 M D) d) |
(/ (* D M) d) |
(/.f64 (*.f64 M D) d) |
(/ (* D M) d) |
(/.f64 (*.f64 M D) d) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)) |
(* 1/4 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 M h) D) d) #s(literal 1/4 binary64)) |
(* 1/2 (/ (* D M) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) (* d l))) |
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 317 |
| 0 | 125 | 300 |
| 1 | 417 | 286 |
| 2 | 2987 | 280 |
| 0 | 9572 | 272 |
| 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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D)))))) |
#s(approx (* (* (pow (/ h d) -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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)))) |
(*.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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(sqrt.f64 (/.f64 h d)) |
(sqrt.f64 (/.f64 d l)) |
(*.f64 D (/.f64 M d)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 d))) |
(*.f64 (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 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 (neg.f64 d) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 d))) |
(*.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)) (pow.f64 (/.f64 h (neg.f64 d)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 d (neg.f64 h)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 d (neg.f64 h)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 (pow.f64 d #s(literal -1/2 binary64)) #s(literal -1 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 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (sqrt.f64 (neg.f64 d))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (pow.f64 (neg.f64 (sqrt.f64 (neg.f64 h))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 h d))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64)) |
(*.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 (sqrt.f64 (neg.f64 d)) (pow.f64 (neg.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 h d))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h))) |
(pow.f64 (*.f64 (sqrt.f64 (/.f64 h d)) (sqrt.f64 (/.f64 h d))) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.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 -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 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (/.f64 (neg.f64 d) #s(literal -1 binary64))) (sqrt.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 (*.f64 (sqrt.f64 (neg.f64 d)) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 h))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 d)))) (neg.f64 (neg.f64 (sqrt.f64 (neg.f64 h))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d)))) |
(/.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 d #s(literal -1/2 binary64))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h d) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 h d)))) |
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h)))) |
(neg.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (neg.f64 (sqrt.f64 (neg.f64 h))))) |
(sqrt.f64 (/.f64 d h)) |
(exp.f64 (-.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (neg.f64 h)) #s(literal 1/2 binary64)))) |
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 (/.f64 h d))))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 h d)) #s(literal -1/4 binary64) (*.f64 (log.f64 (/.f64 h d)) #s(literal -1/4 binary64)))) |
(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 h d)) #s(literal -1/4 binary64)) #s(literal 2 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 -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 (sqrt.f64 (/.f64 h d))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 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 (*.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 l #s(literal -1/2 binary64)) (sqrt.f64 d)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 d (neg.f64 l)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 d (neg.f64 l)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 d) (pow.f64 l #s(literal -1/2 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 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64)) #s(literal 1/2 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 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 l)) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 l)))) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 l)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 l d)))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 l)) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.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))) |
#s(literal 1/2 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) #s(literal -1/2 binary64)) l) h) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) d)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h) d) (*.f64 (*.f64 #s(literal 1/4 binary64) D) M)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h) d) (*.f64 (*.f64 #s(literal 1/4 binary64) D) M)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h) d) (*.f64 (*.f64 #s(literal 1/4 binary64) D) M)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h) d) (*.f64 (*.f64 #s(literal 1/4 binary64) D) M)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) #s(literal -1/2 binary64)) l) h) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) d)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h) d) (*.f64 (*.f64 #s(literal 1/4 binary64) D) M)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h) d) (*.f64 (*.f64 #s(literal 1/4 binary64) D) M)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h) d) (*.f64 (*.f64 #s(literal 1/4 binary64) D) M)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h) d) (*.f64 (*.f64 #s(literal 1/4 binary64) D) M)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h) d) (*.f64 (*.f64 #s(literal 1/4 binary64) D) M)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) #s(literal -1/2 binary64)) l) h) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) d)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) #s(literal 1 binary64)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) #s(literal -1/2 binary64)) l) h) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) d)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h) d) (*.f64 (*.f64 #s(literal 1/4 binary64) D) M)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h) d) (*.f64 (*.f64 #s(literal 1/4 binary64) D) M)) (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) #s(literal -1/2 binary64)) l) h) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) d)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) #s(literal -1/2 binary64)) l) h) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) d)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) #s(literal -1/2 binary64)) l) h) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) d)) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) (/.f64 h (/.f64 d (*.f64 (*.f64 #s(literal 1/4 binary64) D) M))) #s(literal 1 binary64))) |
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(/.f64 (*.f64 (*.f64 (neg.f64 D) M) #s(literal 1/2 binary64)) (*.f64 (neg.f64 d) l)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 l d)) |
(/.f64 (*.f64 (*.f64 D M) #s(literal 1/2 binary64)) (*.f64 d l)) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) D) #s(literal -1/2 binary64)) (neg.f64 l)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 l (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))))) |
(/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 d (*.f64 D M)) l)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 l (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) #s(literal -1/2 binary64)) l)) |
(exp.f64 (*.f64 (log.f64 (/.f64 l (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))))) #s(literal -1 binary64))) |
Compiled 64 504 to 3 622 computations (94.4% saved)
44 alts after pruning (43 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 076 | 34 | 2 110 |
| Fresh | 28 | 9 | 37 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 108 | 44 | 2 152 |
| Status | Accuracy | Program |
|---|---|---|
| 58.4% | (/.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) | |
| 41.1% | (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 h d))) | |
| 44.3% | (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) | |
| 69.4% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) | |
| ▶ | 71.3% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
| 47.0% | (/.f64 (*.f64 (fma.f64 #s(approx (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) | |
| 21.2% | (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 h))) | |
| 26.6% | (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))) | |
| 23.2% | (/.f64 (*.f64 #s(approx (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) | |
| 8.6% | (/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) | |
| ▶ | 26.7% | (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
| 15.5% | (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 37.6% | (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (*.f64 (/.f64 h d) (neg.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)))) | |
| 24.9% | (*.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)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 71.0% | (*.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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D))))))) | |
| 29.0% | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 4.0% | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 38.7% | (*.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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))) | |
| 38.4% | (*.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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D))))))) | |
| 66.7% | (*.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)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) #s(literal -1/2 binary64)) l) (/.f64 h d)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) #s(literal 1 binary64))) | |
| 37.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) | |
| 30.7% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.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)))) | |
| 64.1% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) | |
| 39.3% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| ▶ | 24.3% | (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
| 34.6% | (*.f64 (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 31.9% | (*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 66.7% | (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal -1/8 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 h d)))) | |
| 33.4% | (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 56.0% | (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) | |
| 34.5% | (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 35.2% | (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) | |
| ▶ | 32.2% | (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 41.2% | (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) | |
| 41.7% | (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 37.6% | #s(approx (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ 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)) | |
| 16.6% | #s(approx (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.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))))))) | |
| 30.3% | #s(approx (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) | |
| ▶ | 21.7% | #s(approx (* (* (pow (/ h d) -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)))) |
| 2.5% | #s(approx (* (* (pow (/ h d) -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)) | |
| 21.7% | #s(approx (* (* (pow (/ h d) -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)) | |
| 14.1% | #s(approx (* (* (pow (/ h d) -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)))))) | |
| 22.1% | #s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) | |
| ✓ | 22.1% | #s(approx (* (* (pow (/ h d) -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)) |
Compiled 1 957 to 1 661 computations (15.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) | |
| cost-diff | 0 | (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 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 | 0 | (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) | |
| cost-diff | 0 | (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)))) | |
| cost-diff | 320 | (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))) | |
| cost-diff | 0 | (neg.f64 d) | |
| cost-diff | 0 | (sqrt.f64 (neg.f64 d)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 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 (/ h d) -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 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) | |
| cost-diff | 320 | (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) | |
| cost-diff | 320 | (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 603 |
| 0 | 135 | 601 |
| 1 | 240 | 597 |
| 2 | 655 | 583 |
| 3 | 3981 | 579 |
| 0 | 8127 | 569 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) |
(fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) |
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) |
D |
(*.f64 M (/.f64 #s(literal 1/2 binary64) d)) |
M |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
d |
(*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h) |
(/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) |
l |
h |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h d) |
#s(approx (* (* (pow (/ h d) -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 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) |
(sqrt.f64 (neg.f64 d)) |
(neg.f64 d) |
d |
(sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h))) |
(/.f64 (/.f64 d l) (neg.f64 h)) |
(/.f64 d l) |
l |
(neg.f64 h) |
h |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) |
(sqrt.f64 (*.f64 (/.f64 d h) d)) |
(*.f64 (/.f64 d h) d) |
(/.f64 d h) |
d |
h |
(sqrt.f64 l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 M D) d) |
(*.f64 M D) |
M |
D |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) D) h) |
(*.f64 #s(literal 1/4 binary64) D) |
#s(literal 1/4 binary64) |
(/.f64 M d) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.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 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#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 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) h) D)) l) (/.f64 (*.f64 M D) d) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) h) D)) l) (/.f64 (*.f64 M D) d) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) h) D)) l) (/.f64 (*.f64 M D) d) #s(literal 1 binary64)) |
(*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) |
(*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal 1/4 binary64)) (*.f64 (/.f64 D d) (/.f64 D d))) (/.f64 h l)) |
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
D |
(*.f64 M (/.f64 #s(literal 1/2 binary64) d)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) M) |
M |
(/.f64 #s(literal 1/2 binary64) d) |
#s(literal 1/2 binary64) |
d |
(*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h) |
(*.f64 (/.f64 (*.f64 h D) d) (/.f64 (*.f64 #s(literal 1/2 binary64) M) l)) |
(/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) |
l |
h |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h d) |
#s(approx (* (* (pow (/ h d) -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 (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(/.f64 d (sqrt.f64 (*.f64 h l))) |
d |
(sqrt.f64 (*.f64 l h)) |
(sqrt.f64 (*.f64 h l)) |
(*.f64 l h) |
(*.f64 h l) |
l |
h |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) l) h))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) l) h)) (sqrt.f64 (neg.f64 d))) |
(sqrt.f64 (neg.f64 d)) |
(neg.f64 d) |
d |
(sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h))) |
(sqrt.f64 (/.f64 (/.f64 (neg.f64 d) l) h)) |
(/.f64 (/.f64 d l) (neg.f64 h)) |
(/.f64 (/.f64 (neg.f64 d) l) h) |
(/.f64 d l) |
l |
(neg.f64 h) |
h |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) h) D)) l) (/.f64 (*.f64 M D) d) #s(literal 1 binary64)) (sqrt.f64 l)) (sqrt.f64 (*.f64 (/.f64 d h) d))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) |
(sqrt.f64 (*.f64 (/.f64 d h) d)) |
(*.f64 (/.f64 d h) d) |
(/.f64 d h) |
d |
h |
(sqrt.f64 l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (/.f64 M d) h) D)) l) (/.f64 (*.f64 M D) d) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))) |
(*.f64 (/.f64 (/.f64 (*.f64 M D) d) l) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (/.f64 M d) h) D))) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) |
(/.f64 (*.f64 M D) d) |
(*.f64 M D) |
M |
D |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) h) (/.f64 (*.f64 M D) d)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) D) h) |
(*.f64 #s(literal 1/4 binary64) D) |
#s(literal 1/4 binary64) |
(/.f64 M d) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d))) |
#s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) d) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(/.f64 #s(literal 1 binary64) (*.f64 h l)) |
#s(literal 1 binary64) |
(*.f64 l h) |
(*.f64 h l) |
l |
h |
d |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(fma.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64)) #s(literal 2 binary64)) #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 h l) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 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 (*.f64 M D) d) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (/.f64 (*.f64 M D) d) #s(literal 2 binary64)) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 M D) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) d) | |
| accuracy | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) | |
| accuracy | 0 | #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) | |
| accuracy | 0 | (*.f64 M D) | |
| accuracy | 0 | (*.f64 #s(literal 1/4 binary64) D) | |
| accuracy | 0 | (sqrt.f64 (*.f64 (/.f64 d h) d)) | |
| accuracy | 0 | (sqrt.f64 l) | |
| accuracy | 0 | (sqrt.f64 (neg.f64 d)) | |
| accuracy | 0 | (neg.f64 h) | |
| accuracy | 0 | (neg.f64 d) | |
| accuracy | 0 | #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) | |
| accuracy | 0 | (/.f64 d (sqrt.f64 (*.f64 l h))) | |
| accuracy | 0 | (*.f64 l h) | |
| accuracy | 0 | (sqrt.f64 (*.f64 l h)) | |
| accuracy | 0 | #s(approx (* (* (pow (/ h d) -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 | 0 | (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) | |
| accuracy | 0 | (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) | |
| accuracy | 0 | (sqrt.f64 (/.f64 h d)) | |
| accuracy | 0 | (sqrt.f64 (/.f64 d l)) |
| 141.0ms | 256× | 0 | invalid |
Compiled 601 to 70 computations (88.4% saved)
ival-mult: 42.0ms (39.5% of total)ival-div: 33.0ms (31.1% of total)ival-sqrt: 12.0ms (11.3% of total)ival-pow: 11.0ms (10.4% of total)ival-sub: 2.0ms (1.9% of total)ival-neg: 2.0ms (1.9% of total)ival-pow2: 2.0ms (1.9% of total)ival-add: 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 |
|---|
#s(alt (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) (patch (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (patch (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (pow (/ h d) -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)))) (patch #s(approx (* (* (pow (/ h d) -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)))) #<representation binary64>) () ()) |
#s(alt (/.f64 d (sqrt.f64 (*.f64 l h))) (patch (/.f64 d (sqrt.f64 (*.f64 l h))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 l h)) (patch (sqrt.f64 (*.f64 l h)) #<representation binary64>) () ()) |
#s(alt (*.f64 l h) (patch (*.f64 l h) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (patch (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) (patch (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (neg.f64 d)) (patch (sqrt.f64 (neg.f64 d)) #<representation binary64>) () ()) |
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))) (patch (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) (patch (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (patch (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.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))) (patch (-.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))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) (patch (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (patch #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ()) |
#s(alt (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (patch (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) #<representation binary64>) () ()) |
#s(alt (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) (patch (*.f64 M (/.f64 #s(literal 1/2 binary64) d)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (patch #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 h) (patch (neg.f64 h) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 l) (patch (sqrt.f64 l) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 (/.f64 d h) d)) (patch (sqrt.f64 (*.f64 (/.f64 d h) d)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/4 binary64) D) (patch (*.f64 #s(literal 1/4 binary64) D) #<representation binary64>) () ()) |
#s(alt (*.f64 M D) (patch (*.f64 M D) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) d) (patch (*.f64 #s(literal 2 binary64) d) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 h) (#s(alt (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 h) (#s(alt (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 h) (#s(alt (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) (taylor 0 h) (#s(alt (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 h) (#s(alt (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) (patch (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 h) (#s(alt (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) (patch (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 h) (#s(alt (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) (patch (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) (taylor 0 h) (#s(alt (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) (patch (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #<representation binary64>) () ())) ()) |
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#s(alt (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) (patch (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ d l)) (taylor 0 h) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (patch (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))) (taylor 0 h) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (patch (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))) (taylor 0 h) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (patch (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ())) ()) |
#s(alt (+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))) (taylor 0 h) (#s(alt (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (patch (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ())) ()) |
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt #s(approx (* (* (pow (/ h d) -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)))) (patch #s(approx (* (* (pow (/ h d) -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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#s(alt #s(approx (* (* (pow (/ h d) -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)))) (patch #s(approx (* (* (pow (/ h d) -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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#s(alt #s(approx (* (* (pow (/ h d) -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)))) (patch #s(approx (* (* (pow (/ h d) -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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) (taylor 0 h) (#s(alt #s(approx (* (* (pow (/ h d) -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)))) (patch #s(approx (* (* (pow (/ h d) -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)))) #<representation binary64>) () ())) ()) |
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (/.f64 d (sqrt.f64 (*.f64 l h))) (patch (/.f64 d (sqrt.f64 (*.f64 l h))) #<representation binary64>) () ())) ()) |
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (/.f64 d (sqrt.f64 (*.f64 l h))) (patch (/.f64 d (sqrt.f64 (*.f64 l h))) #<representation binary64>) () ())) ()) |
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (/.f64 d (sqrt.f64 (*.f64 l h))) (patch (/.f64 d (sqrt.f64 (*.f64 l h))) #<representation binary64>) () ())) ()) |
#s(alt (* d (sqrt (/ 1 (* h l)))) (taylor 0 h) (#s(alt (/.f64 d (sqrt.f64 (*.f64 l h))) (patch (/.f64 d (sqrt.f64 (*.f64 l h))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (* h l)) (taylor 0 h) (#s(alt (sqrt.f64 (*.f64 l h)) (patch (sqrt.f64 (*.f64 l h)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (* h l)) (taylor 0 h) (#s(alt (sqrt.f64 (*.f64 l h)) (patch (sqrt.f64 (*.f64 l h)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (* h l)) (taylor 0 h) (#s(alt (sqrt.f64 (*.f64 l h)) (patch (sqrt.f64 (*.f64 l h)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (* h l)) (taylor 0 h) (#s(alt (sqrt.f64 (*.f64 l h)) (patch (sqrt.f64 (*.f64 l h)) #<representation binary64>) () ())) ()) |
#s(alt (* h l) (taylor 0 h) (#s(alt (*.f64 l h) (patch (*.f64 l h) #<representation binary64>) () ())) ()) |
#s(alt (* h l) (taylor 0 h) (#s(alt (*.f64 l h) (patch (*.f64 l h) #<representation binary64>) () ())) ()) |
#s(alt (* h l) (taylor 0 h) (#s(alt (*.f64 l h) (patch (*.f64 l h) #<representation binary64>) () ())) ()) |
#s(alt (* h l) (taylor 0 h) (#s(alt (*.f64 l h) (patch (*.f64 l h) #<representation binary64>) () ())) ()) |
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15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | h | @ | inf | ((+ (* (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) -1/2) 1) (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) (/ (* (+ (* (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (* (+ (* (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) -1/2) 1) (sqrt (/ d l))) (* (* (pow (/ h d) -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) (* (* (sqrt (neg d)) (sqrt (/ (/ d l) (neg h)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (neg d)) (sqrt (/ (/ d l) (neg h)))) (sqrt (neg d)) (neg d) (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d))) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d))))) (/ (sqrt (* (/ d h) d)) (sqrt l)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (sqrt (/ d l)) (sqrt (/ h d)) (* D (* M (/ 1/2 d))) (* M (/ 1/2 d)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (neg h) (sqrt l) (sqrt (* (/ d h) d)) (* 1/4 D) (* M D) (sqrt (/ 1 (* l h))) (* 2 d)) |
| 11.0ms | d | @ | 0 | ((+ (* (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) -1/2) 1) (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) (/ (* (+ (* (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (* (+ (* (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) -1/2) 1) (sqrt (/ d l))) (* (* (pow (/ h d) -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) (* (* (sqrt (neg d)) (sqrt (/ (/ d l) (neg h)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (neg d)) (sqrt (/ (/ d l) (neg h)))) (sqrt (neg d)) (neg d) (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d))) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d))))) (/ (sqrt (* (/ d h) d)) (sqrt l)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (sqrt (/ d l)) (sqrt (/ h d)) (* D (* M (/ 1/2 d))) (* M (/ 1/2 d)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (neg h) (sqrt l) (sqrt (* (/ d h) d)) (* 1/4 D) (* M D) (sqrt (/ 1 (* l h))) (* 2 d)) |
| 7.0ms | h | @ | -inf | ((+ (* (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) -1/2) 1) (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) (/ (* (+ (* (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (* (+ (* (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) -1/2) 1) (sqrt (/ d l))) (* (* (pow (/ h d) -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) (* (* (sqrt (neg d)) (sqrt (/ (/ d l) (neg h)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (neg d)) (sqrt (/ (/ d l) (neg h)))) (sqrt (neg d)) (neg d) (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d))) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d))))) (/ (sqrt (* (/ d h) d)) (sqrt l)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (sqrt (/ d l)) (sqrt (/ h d)) (* D (* M (/ 1/2 d))) (* M (/ 1/2 d)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (neg h) (sqrt l) (sqrt (* (/ d h) d)) (* 1/4 D) (* M D) (sqrt (/ 1 (* l h))) (* 2 d)) |
| 7.0ms | M | @ | -inf | ((+ (* (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) -1/2) 1) (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) (/ (* (+ (* (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (* (+ (* (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) -1/2) 1) (sqrt (/ d l))) (* (* (pow (/ h d) -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) (* (* (sqrt (neg d)) (sqrt (/ (/ d l) (neg h)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (neg d)) (sqrt (/ (/ d l) (neg h)))) (sqrt (neg d)) (neg d) (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d))) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d))))) (/ (sqrt (* (/ d h) d)) (sqrt l)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (sqrt (/ d l)) (sqrt (/ h d)) (* D (* M (/ 1/2 d))) (* M (/ 1/2 d)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (neg h) (sqrt l) (sqrt (* (/ d h) d)) (* 1/4 D) (* M D) (sqrt (/ 1 (* l h))) (* 2 d)) |
| 6.0ms | D | @ | 0 | ((+ (* (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) -1/2) 1) (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) (/ (* (+ (* (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (* (+ (* (* (* D (* M (/ 1/2 d))) (* (/ (* D (* M (/ 1/2 d))) l) h)) -1/2) 1) (sqrt (/ d l))) (* (* (pow (/ h d) -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) (* (* (sqrt (neg d)) (sqrt (/ (/ d l) (neg h)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (neg d)) (sqrt (/ (/ d l) (neg h)))) (sqrt (neg d)) (neg d) (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d))) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d))))) (/ (sqrt (* (/ d h) d)) (sqrt l)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (sqrt (/ d l)) (sqrt (/ h d)) (* D (* M (/ 1/2 d))) (* M (/ 1/2 d)) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (neg h) (sqrt l) (sqrt (* (/ d h) d)) (* 1/4 D) (* M D) (sqrt (/ 1 (* l h))) (* 2 d)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 294 | 18606 |
| 1 | 853 | 17726 |
| 2 | 3098 | 17582 |
| 3 | 7359 | 17534 |
| 0 | 8094 | 17126 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
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(/ (+ (* -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 l)) |
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))) |
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(/ (+ (* -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) |
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(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))) h) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
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1 |
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(/ (+ (* -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) |
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1 |
(+ 1 (* -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)) 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) |
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(sqrt (/ h d)) |
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(sqrt (/ h d)) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
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(* -1 h) |
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1 |
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1 |
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(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
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1 |
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(* D M) |
(* D M) |
(* D M) |
(* D M) |
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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)))))) |
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(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l))))) |
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d 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) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow (sqrt -1) 2)) d) (sqrt (/ h (pow l 3))))) (* (/ (* d (pow (sqrt -1) 2)) (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow (sqrt -1) 2)) d) (sqrt (/ h (pow l 3))))) (* (/ (* d (pow (sqrt -1) 2)) (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow (sqrt -1) 2)) d) (sqrt (/ h (pow l 3))))) (* (/ (* d (pow (sqrt -1) 2)) (pow M 2)) (sqrt (/ 1 (* h 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) h)) (* (pow d 2) l))) |
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(* (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)))))) |
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(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
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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)))))) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ M d)) |
(* 1/2 (/ M d)) |
(* 1/2 (/ M d)) |
(* 1/2 (/ M d)) |
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(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* D M) |
(* D M) |
(* D M) |
(* D M) |
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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)))))) |
(* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) |
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(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d l))))) |
(* (pow M 2) (+ (* -1/8 (* (* (pow D 2) h) (sqrt (/ 1 (* (pow d 3) (pow l 3)))))) (* (/ 1 (pow M 2)) (sqrt (/ d 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) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow (sqrt -1) 2)) d) (sqrt (/ h (pow l 3))))) (* (/ (* d (pow (sqrt -1) 2)) (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow (sqrt -1) 2)) d) (sqrt (/ h (pow l 3))))) (* (/ (* d (pow (sqrt -1) 2)) (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (* (pow D 2) (pow (sqrt -1) 2)) d) (sqrt (/ h (pow l 3))))) (* (/ (* d (pow (sqrt -1) 2)) (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))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(* (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)))))) |
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(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (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))))))) |
(sqrt (/ d l)) |
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))))) |
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))))) |
(* d (+ (sqrt (/ 1 (* d l))) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 5) (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 (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* 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 (+ (* -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 (+ (* -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 (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (sqrt d) (sqrt -1)) |
(* (sqrt d) (sqrt -1)) |
(* (sqrt d) (sqrt -1)) |
(* (sqrt d) (sqrt -1)) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* 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 |
(+ 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)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* 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)))) |
(* 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)))) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ M d)) |
(* 1/2 (/ M d)) |
(* 1/2 (/ M d)) |
(* 1/2 (/ M d)) |
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))) |
(* d (sqrt (/ 1 h))) |
(* d (sqrt (/ 1 h))) |
(* d (sqrt (/ 1 h))) |
(* 2 d) |
(* 2 d) |
(* 2 d) |
(* 2 d) |
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)))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1 (* 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 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (* (pow D 2) (* (pow M 2) (* h (pow (sqrt -1) 2)))) (sqrt (/ 1 (* (pow d 5) (pow l 3)))))) (* (sqrt (/ 1 (* d 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 (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 (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* (sqrt d) (sqrt -1))) |
(* -1 (* (sqrt d) (sqrt -1))) |
(* -1 (* (sqrt d) (sqrt -1))) |
(* -1 (* (sqrt d) (sqrt -1))) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* 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 |
(+ 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 (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* 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)))) |
(* -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 (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -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))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ (* D M) d)) |
(* 1/2 (/ M d)) |
(* 1/2 (/ M d)) |
(* 1/2 (/ M d)) |
(* 1/2 (/ M d)) |
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)))) |
(* -1 (* d (sqrt (/ 1 h)))) |
(* -1 (* d (sqrt (/ 1 h)))) |
(* -1 (* d (sqrt (/ 1 h)))) |
(* 2 d) |
(* 2 d) |
(* 2 d) |
(* 2 d) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 M M))) l) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 M M))) l) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 M M))) l) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(* 1/4 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 h (*.f64 M M))) l) (/.f64 (/.f64 (*.f64 D D) d) d)) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (/.f64 d l))) |
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (/.f64 d l))) |
(+ (sqrt (/ d l)) (* -1/8 (* (* (pow D 2) (* (pow M 2) h)) (sqrt (/ 1 (* (pow d 3) (pow l 3))))))) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 h (*.f64 M M)) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal 3 binary64))) (pow.f64 d #s(literal 3 binary64)))) (sqrt.f64 (/.f64 d l))) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.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) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 l h)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 l h)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 l h)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 l h)) |
(* h l) |
(*.f64 l h) |
(* h l) |
(*.f64 l h) |
(* h l) |
(*.f64 l h) |
(* h l) |
(*.f64 l h) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))) h) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (neg.f64 M) (/.f64 M d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))) h) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (neg.f64 M) (/.f64 M d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ (pow h 3) (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ h l)))) h) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (neg.f64 M) (/.f64 M d))) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 h l)))) h) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
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(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* 1/2 (/ M d)) |
(*.f64 (/.f64 M d) #s(literal 1/2 binary64)) |
(* 1/2 (/ M d)) |
(*.f64 (/.f64 M d) #s(literal 1/2 binary64)) |
(* 1/2 (/ M d)) |
(*.f64 (/.f64 M d) #s(literal 1/2 binary64)) |
(* 1/2 (/ M d)) |
(*.f64 (/.f64 M d) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)) |
(* -1 (* d (sqrt (/ 1 h)))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) |
(* -1 (* d (sqrt (/ 1 h)))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) |
(* -1 (* d (sqrt (/ 1 h)))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) |
(* -1 (* d (sqrt (/ 1 h)))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) |
(* 2 d) |
(*.f64 d #s(literal 2 binary64)) |
(* 2 d) |
(*.f64 d #s(literal 2 binary64)) |
(* 2 d) |
(*.f64 d #s(literal 2 binary64)) |
(* 2 d) |
(*.f64 d #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 418 |
| 0 | 135 | 412 |
| 1 | 399 | 368 |
| 2 | 2607 | 361 |
| 0 | 8453 | 359 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ h d) -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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) |
(sqrt.f64 (neg.f64 d)) |
(neg.f64 d) |
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 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 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt.f64 (/.f64 h d)) |
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 M (/.f64 #s(literal 1/2 binary64) d)) |
#s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) |
(neg.f64 h) |
(sqrt.f64 l) |
(sqrt.f64 (*.f64 (/.f64 d h) d)) |
(*.f64 #s(literal 1/4 binary64) D) |
(*.f64 M D) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(*.f64 #s(literal 2 binary64) d) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l)) h) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l) h) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l)) h #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l) h) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l) h) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l) h) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l)) h) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l) h) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l)) h #s(literal -1 binary64)) (fma.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l) h) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l) h) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l) h) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l)) h)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l)) h)) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l)) h)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l)) h)) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l)) h)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l)) h)) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l)) h))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l)) h)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l)) h) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l) h) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l) h) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l) h) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l) h) #s(literal 2 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l)) h #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) 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 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) l)) h) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
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(exp.f64 (*.f64 (log.f64 (*.f64 M D)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 h l) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 h l) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 h l) #s(literal -1/4 binary64)) (pow.f64 (*.f64 h l) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (*.f64 h l)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 h l)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 (/.f64 l #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 l #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 (/.f64 h #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 l #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64)) (pow.f64 (*.f64 h l) #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 h l) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 h l) #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (*.f64 (neg.f64 l) h)))) |
(/.f64 (neg.f64 (pow.f64 l #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (neg.f64 l) h))) |
(/.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 l)) |
(/.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 h)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 h l)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (*.f64 (neg.f64 l) h)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 h l))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) |
(sqrt.f64 (pow.f64 (*.f64 h l) #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 (*.f64 h l) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 h l))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 h l))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) d) |
(*.f64 d #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) d) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 d)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) d))) |
(/.f64 (neg.f64 d) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) d)) |
(/.f64 d #s(literal 1/2 binary64)) |
(-.f64 #s(literal 0 binary64) (/.f64 d #s(literal -1/2 binary64))) |
Compiled 73 975 to 4 445 computations (94% saved)
57 alts after pruning (53 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 324 | 32 | 2 356 |
| Fresh | 17 | 21 | 38 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 343 | 57 | 2 400 |
| Status | Accuracy | Program |
|---|---|---|
| 70.9% | (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) | |
| 41.1% | (/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 h d))) | |
| 69.4% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) | |
| 63.9% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 h D) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) | |
| 42.7% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 h d))) | |
| 42.7% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 l) #s(literal -1 binary64))))) (sqrt.f64 (/.f64 h d))) | |
| 45.5% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) | |
| 38.4% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 h) (sqrt.f64 d))) | |
| 71.4% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) | |
| ✓ | 71.3% | (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
| 34.8% | (/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64))) (sqrt.f64 l)) | |
| 21.2% | (/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 h))) | |
| 26.6% | (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))) | |
| 23.2% | (/.f64 (*.f64 #s(approx (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) | |
| 8.6% | (/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) | |
| 74.1% | (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) | |
| 27.2% | (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64))) | |
| 24.7% | (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 (neg.f64 l) d)))) | |
| 24.7% | (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 l d)))) | |
| 26.6% | (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) (/.f64 (*.f64 M D) d)) (/.f64 #s(literal 1/2 binary64) l)))) | |
| 10.8% | (*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h)))) | |
| 31.0% | (*.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 d h) d))) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) | |
| 24.1% | (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 h (/.f64 (neg.f64 d) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 34.1% | (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)))) | |
| 4.0% | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 38.4% | (*.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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D))))))) | |
| 23.5% | (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) h) l)) (sqrt.f64 (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 64.1% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) | |
| 39.3% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 13.6% | (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) | |
| ✓ | 24.3% | (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
| 50.7% | (*.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) | |
| 31.9% | (*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 66.7% | (*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal -1/8 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 h d)))) | |
| 33.4% | (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 56.0% | (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) | |
| 34.5% | (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| 35.2% | (*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) | |
| 41.2% | (*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) | |
| 32.2% | (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 36.4% | (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (fma.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) h) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)) #s(literal 1 binary64))) | |
| 32.2% | (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 28.6% | (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)))) | |
| 16.8% | (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) | |
| 41.7% | (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 16.6% | #s(approx (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.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))))))) | |
| 30.3% | #s(approx (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) | |
| 15.0% | #s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (neg.f64 M) (/.f64 M d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) | |
| 19.2% | #s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) | |
| 21.0% | #s(approx (* (* (pow (/ h d) -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)))) | |
| ✓ | 21.7% | #s(approx (* (* (pow (/ h d) -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)))) |
| 21.6% | #s(approx (* (* (pow (/ h d) -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 h l)) d))) | |
| 21.7% | #s(approx (* (* (pow (/ h d) -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)) | |
| 14.1% | #s(approx (* (* (pow (/ h d) -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)))))) | |
| 22.1% | #s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) | |
| ✓ | 22.1% | #s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 18.4% | #s(approx (* (* (sqrt (neg d)) (sqrt (/ (/ d l) (neg h)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (neg.f64 M) (/.f64 M d))) (sqrt.f64 (*.f64 l h)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)))) (*.f64 l l))) |
Compiled 5 038 to 1 662 computations (67% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h l)) d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) h) l)) (sqrt.f64 (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 h (/.f64 (neg.f64 d) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (fma.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) h) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 l d)))) |
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(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 (neg.f64 l) d)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) (/.f64 (*.f64 M D) d)) (/.f64 #s(literal 1/2 binary64) l)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 d h) d))) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(/.f64 (*.f64 (fma.f64 #s(approx (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 h D) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ h d) -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)) |
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#s(approx (* (* (pow (/ h d) -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)))))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.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))))))) |
#s(approx (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.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))))))) |
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (neg.f64 M) (/.f64 M d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) |
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(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 #s(literal -1 binary64) h)) (/.f64 (neg.f64 M) d))))) |
(*.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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #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) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #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 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 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))) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 d))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (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 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64))) l) h #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 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 D M)) (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) d) #s(literal 2 binary64)) (*.f64 D M))))) |
(*.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 (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 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) (pow.f64 h #s(literal -1 binary64)))))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 h d) #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)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (*.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 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (neg.f64 h) l) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
7 calls:
| 81.0ms | d |
| 60.0ms | (*.f64 M D) |
| 48.0ms | l |
| 39.0ms | D |
| 38.0ms | M |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 2 | d |
| 84.3% | 2 | h |
| 84.3% | 2 | l |
| 77.2% | 2 | M |
| 78.6% | 2 | D |
| 84.4% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 78.6% | 3 | (*.f64 M D) |
Compiled 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h l)) d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) h) l)) (sqrt.f64 (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 h (/.f64 (neg.f64 d) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (fma.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) h) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 l d)))) |
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64))) (sqrt.f64 l)) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 (neg.f64 l) d)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) (/.f64 (*.f64 M D) d)) (/.f64 #s(literal 1/2 binary64) l)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 d h) d))) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(/.f64 (*.f64 (fma.f64 #s(approx (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
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(*.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)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (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 h (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) (*.f64 (/.f64 M d) M)) l)) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64)))) (/.f64 D d)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 (neg.f64 d)) (sqrt.f64 (neg.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 (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 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 (/.f64 h l) #s(literal 1/2 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 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)))) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
1 calls:
| 34.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h l)) d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) h) l)) (sqrt.f64 (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 h (/.f64 (neg.f64 d) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (fma.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) h) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 l d)))) |
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64))) (sqrt.f64 l)) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 (neg.f64 l) d)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) (/.f64 (*.f64 M D) d)) (/.f64 #s(literal 1/2 binary64) l)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 d h) d))) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(/.f64 (*.f64 (fma.f64 #s(approx (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 h D) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 h) (sqrt.f64 d))) |
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(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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 (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 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) D) (*.f64 (/.f64 h l) #s(literal 1/2 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 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)))) |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D))))))) |
4 calls:
| 39.0ms | l |
| 37.0ms | (*.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)))) |
| 37.0ms | h |
| 34.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 3 | d |
| 83.9% | 2 | h |
| 83.9% | 2 | l |
| 84.2% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 38 to 37 computations (2.6% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h l)) d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) h) l)) (sqrt.f64 (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 h (/.f64 (neg.f64 d) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (fma.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) h) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 l d)))) |
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64))) (sqrt.f64 l)) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 (neg.f64 l) d)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) (/.f64 (*.f64 M D) d)) (/.f64 #s(literal 1/2 binary64) l)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 d h) d))) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(/.f64 (*.f64 (fma.f64 #s(approx (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 h D) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 h) (sqrt.f64 d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ h d) -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)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (*.f64 #s(approx (pow (/ d h) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d h)))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ h d) -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)))))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.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))))))) |
#s(approx (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.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))))))) |
#s(approx (* (/ (sqrt (* (/ d h) d)) (sqrt l)) (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d))))) (*.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (*.f64 (neg.f64 M) (/.f64 M d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #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))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #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 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ 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 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (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 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.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)) |
#s(approx (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ 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)) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 M d) D) #s(literal 2 binary64)) #s(literal -1/8 binary64)) (/.f64 h l) #s(literal 1 binary64)) (sqrt.f64 (/.f64 h d)))) |
(*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)))) |
#s(approx (* (* (sqrt (neg d)) (sqrt (/ (/ d l) (neg h)))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (neg.f64 M) (/.f64 M d))) (sqrt.f64 (*.f64 l h)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)))) (*.f64 l l))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) 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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (*.f64 (/.f64 h d) (neg.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 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.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 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 h l) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 D (/.f64 M d)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(*.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)))) #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))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 (/.f64 M d) M))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) D)))) |
(*.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) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D (*.f64 D (/.f64 (*.f64 M M) l)))) d) (/.f64 h d))))) |
(*.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 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) D))))))) |
(*.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)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 M d) D) #s(literal -1/2 binary64)) l) (/.f64 h d)) (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.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 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) l) (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) h)))) |
(*.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 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.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)))) |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
2 calls:
| 28.0ms | (*.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)))) |
| 28.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 85.6% | 3 | d |
Compiled 36 to 27 computations (25% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h l)) d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) h) l)) (sqrt.f64 (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 h (/.f64 (neg.f64 d) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (fma.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) h) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 l d)))) |
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64))) (sqrt.f64 l)) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 (neg.f64 l) d)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) (/.f64 (*.f64 M D) d)) (/.f64 #s(literal 1/2 binary64) l)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 d h) d))) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(/.f64 (*.f64 (fma.f64 #s(approx (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 h D) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) l)) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 h) (sqrt.f64 d))) |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
4 calls:
| 17.0ms | l |
| 16.0ms | d |
| 15.0ms | h |
| 15.0ms | (*.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 |
|---|---|---|
| 80.7% | 3 | h |
| 82.2% | 4 | l |
| 83.0% | 4 | d |
| 83.8% | 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 38 to 37 computations (2.6% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h l)) d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) h) l)) (sqrt.f64 (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 h (/.f64 (neg.f64 d) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (fma.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) h) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 l d)))) |
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64))) (sqrt.f64 l)) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 (neg.f64 l) d)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) (/.f64 (*.f64 M D) d)) (/.f64 #s(literal 1/2 binary64) l)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 d h) d))) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(/.f64 (*.f64 (fma.f64 #s(approx (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h)) d)) |
| Outputs |
|---|
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
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 |
|---|---|---|
| 83.6% | 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)
| Inputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h l)) d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) h) l)) (sqrt.f64 (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 h (/.f64 (neg.f64 d) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (fma.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) h) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 l d)))) |
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64))) (sqrt.f64 l)) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 (neg.f64 l) d)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) (/.f64 (*.f64 M D) d)) (/.f64 #s(literal 1/2 binary64) l)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 (/.f64 d h) d))) (sqrt.f64 (neg.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(/.f64 (*.f64 (fma.f64 #s(approx (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 M M) h)) l) (/.f64 (/.f64 (*.f64 D D) d) d))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
1 calls:
| 14.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 4 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h l)) d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) h) l)) (sqrt.f64 (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 h (/.f64 (neg.f64 d) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (/ (sqrt (* (/ d h) d)) (sqrt l)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) (fma.f64 (*.f64 #s(literal -1/2 binary64) D) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) h) (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M d))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (/ (* (/ (* M D) d) 1/2) l) (* (* (* 1/4 D) h) (/ M d)))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 l d)))) |
(/.f64 (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 h)) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64))) (sqrt.f64 l)) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) M)) (*.f64 (neg.f64 l) d)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 #s(literal 1/4 binary64) D)) (*.f64 (/.f64 M d) h) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
| Outputs |
|---|
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) |
1 calls:
| 14.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 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 (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h l)) d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) h) l)) (sqrt.f64 (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 h (/.f64 (neg.f64 d) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)))) |
#s(approx (* (* (pow (/ h d) -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)))) |
7 calls:
| 35.0ms | (*.f64 M D) |
| 29.0ms | l |
| 8.0ms | h |
| 8.0ms | D |
| 8.0ms | M |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.2% | 2 | (*.f64 M D) |
| 46.6% | 2 | M |
| 43.5% | 2 | D |
| 56.3% | 2 | h |
| 60.1% | 3 | l |
| 60.2% | 3 | d |
| 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 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h l)) d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) h) l)) (sqrt.f64 (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 h (/.f64 (neg.f64 d) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) |
#s(approx (* (* (pow (/ h d) -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)))) |
3 calls:
| 8.0ms | h |
| 8.0ms | d |
| 8.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.9% | 3 | h |
| 53.1% | 3 | l |
| 54.9% | 3 | d |
Compiled 3 to 15 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h l)) d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) h) l)) (sqrt.f64 (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 h (/.f64 (neg.f64 d) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ h d) -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)))) |
4 calls:
| 17.0ms | d |
| 11.0ms | h |
| 7.0ms | l |
| 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 |
|---|---|---|
| 50.0% | 2 | h |
| 50.0% | 2 | l |
| 46.2% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 50.0% | 2 | d |
Compiled 38 to 37 computations (2.6% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h l)) d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) h) l)) (sqrt.f64 (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 h (/.f64 (neg.f64 d) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) #s(approx (pow (/ d l) (/ 1 2)) (neg.f64 (sqrt.f64 (/.f64 d l))))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))) |
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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)))) |
3 calls:
| 35.0ms | h |
| 7.0ms | l |
| 7.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.2% | 3 | h |
| 47.6% | 2 | d |
| 47.6% | 2 | l |
Compiled 3 to 15 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h l)) d))) |
#s(approx (* (* (pow (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 (neg.f64 d) (/.f64 d l)) (neg.f64 h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d l) (/.f64 h d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 h d) (/.f64 l d)))) |
(*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 #s(approx (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 (/.f64 d l) (neg.f64 h)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 d) h) l)) (sqrt.f64 (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 d l) (neg.f64 d))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 h (/.f64 (neg.f64 d) l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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)))) |
3 calls:
| 13.0ms | l |
| 7.0ms | d |
| 7.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.6% | 2 | d |
| 47.1% | 2 | l |
| 47.5% | 2 | h |
Compiled 3 to 15 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ (* (+ (* (* (/ h l) (* 1/4 (pow (* D (/ M d)) 2))) -1/2) 1) (sqrt (/ d l))) (sqrt (/ h d))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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)) |
6 calls:
| 2.0ms | h |
| 2.0ms | M |
| 2.0ms | l |
| 2.0ms | d |
| 2.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.3% | 1 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 30.3% | 1 | (*.f64 M D) |
| 30.3% | 1 | M |
| 43.3% | 2 | d |
| 43.4% | 2 | l |
| 43.8% | 2 | h |
Compiled 42 to 48 computations (-14.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -1/2) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
7 calls:
| 4.0ms | h |
| 2.0ms | M |
| 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)))) |
| 2.0ms | D |
| 2.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.1% | 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)))) |
| 22.1% | 1 | (*.f64 M D) |
| 22.1% | 1 | M |
| 22.1% | 1 | d |
| 22.1% | 1 | l |
| 22.1% | 1 | D |
| 22.1% | 1 | h |
Compiled 43 to 53 computations (-23.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (* (pow (/ h d) -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 (/ h d) -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:
| 20.0ms | l |
| 1.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 1.0ms | d |
| 1.0ms | h |
| 1.0ms | D |
| Accuracy | Segments | Branch |
|---|---|---|
| 21.7% | 1 | M |
| 21.7% | 1 | D |
| 21.7% | 1 | (*.f64 M D) |
| 21.7% | 1 | d |
| 21.7% | 1 | l |
| 21.7% | 1 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 21.7% | 1 | h |
Compiled 43 to 53 computations (-23.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.962788995155075e+214 | +inf |
Compiled 38 to 30 computations (21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.962788995155075e+214 | +inf |
Compiled 38 to 30 computations (21.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 117.0ms | 8.48393438387392e-190 | 6.03428505981998e-185 |
| 33.0ms | -2.592851147640624e-267 | -8.638679669983892e-268 |
| 58.0ms | 224× | 0 | invalid |
| 42.0ms | 224× | 0 | valid |
Compiled 920 to 729 computations (20.8% saved)
ival-mult: 45.0ms (53.4% of total)ival-div: 22.0ms (26.1% of total)ival-pow: 10.0ms (11.9% of total)ival-pow2: 5.0ms (5.9% of total)ival-sub: 2.0ms (2.4% 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 | 8.962788995155075e+214 | +inf |
Compiled 38 to 30 computations (21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.962788995155075e+214 | +inf |
Compiled 38 to 30 computations (21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.962788995155075e+214 | +inf |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.962788995155075e+214 | +inf |
| 0.0ms | 1.423986330500385e-264 | 7.764434670324411e-257 |
| 0.0ms | -4.433261425298637e-134 | -3.273133595141089e-148 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 8.962788995155075e+214 | +inf |
| 0.0ms | 1.423986330500385e-264 | 7.764434670324411e-257 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 104.0ms | 7.562638482693174e+136 | 1.6218380717493307e+140 |
| 50.0ms | -7.724207069394852e-308 | 1.5090031628495038e-307 |
| 67.0ms | 282× | 0 | invalid |
| 38.0ms | 240× | 0 | valid |
Compiled 663 to 589 computations (11.2% saved)
ival-mult: 48.0ms (56.3% of total)ival-div: 18.0ms (21.1% of total)ival-pow: 11.0ms (12.9% of total)ival-pow2: 5.0ms (5.9% of total)ival-sub: 3.0ms (3.5% of total)exact: 1.0ms (1.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 2.132436093220177 | 15.101835190945947 |
| 1.0ms | -7.724207069394852e-308 | 1.5090031628495038e-307 |
| 22.0ms | 94× | 0 | invalid |
| 15.0ms | 96× | 0 | valid |
Compiled 576 to 521 computations (9.5% saved)
ival-div: 6.0ms (31.2% of total)ival-mult: 6.0ms (31.2% of total)ival-pow: 4.0ms (20.8% of total)ival-pow2: 2.0ms (10.4% of total)ival-sub: 1.0ms (5.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -7.724207069394852e-308 | 1.5090031628495038e-307 |
Compiled 220 to 233 computations (-5.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 77.0ms | 8.922906158119283e-276 | 1.5468203772979977e-273 |
| 109.0ms | -3.050707973861094e-281 | -3.2941761673155936e-284 |
| 89.0ms | 288× | 0 | invalid |
| 79.0ms | 240× | 0 | valid |
Compiled 364 to 438 computations (-20.3% saved)
ival-div: 66.0ms (44.9% of total)ival-mult: 41.0ms (27.9% of total)ival-pow: 31.0ms (21.1% of total)ival-pow2: 5.0ms (3.4% of total)ival-sub: 3.0ms (2% of total)exact: 1.0ms (0.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.922906158119283e-276 | 1.5468203772979977e-273 |
Compiled 164 to 198 computations (-20.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.922906158119283e-276 | 1.5468203772979977e-273 |
Compiled 171 to 205 computations (-19.9% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 1703 |
| 1 | 289 | 1703 |
| 2 | 362 | 1703 |
| 3 | 436 | 1703 |
| 4 | 501 | 1703 |
| 5 | 555 | 1703 |
| 6 | 708 | 1703 |
| 7 | 932 | 1703 |
| 8 | 951 | 1703 |
| 9 | 952 | 1703 |
| 1× | saturated |
| Inputs |
|---|
(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 99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 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 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h 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 99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 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 (/.f64 h l) #s(literal 1/2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))) |
(if (<=.f64 d #s(literal -5111620622892379/4646927838993072071243945306718439250410188130185607684549287060362314553626263667328650982800488595593121011844353040782670578892327830336846345565944983205571783876398312106070895030732180427719497486819848241268961714708993375275490934188589556509412640954544199727574266715045888 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d)))) (if (<=.f64 d #s(literal 7960685379818181/153090103458041951154620325043801237641319743206933311288544235956760011447392195175450369025277569052617268428910122535686807015741471080782585043071649294869136754165183653769539196448293593632735232 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))) (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) l) (/.f64 h (/.f64 d (*.f64 M (*.f64 #s(literal 1/4 binary64) 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 99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h 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 99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) (*.f64 (/.f64 (*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) l) h)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h 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 99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal 1/4 binary64)) (*.f64 (/.f64 M d) D)) (*.f64 (/.f64 M d) D)) #s(literal -1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h 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 -8183476519740355/204586912993508866875824356051724947013540127877691549342705710506008362275292159680204380770369009821930417757972504438076078534117837065833032974336 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) l) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) h) (/.f64 M 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 283625966735417/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h 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 99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 binary64)) (*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h 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 283625966735417/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h 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 99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 binary64)) (*.f64 (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l)))))) |
(if (<=.f64 d #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (if (<=.f64 d #s(literal 2200000000000000072251437476250837373771427645991145730127089537769243415177333590196802894381000307904688910525509358273026679395265282048 binary64)) (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (*.f64 M (/.f64 M d)) d) h) #s(literal 1 binary64)))) #s(approx (* (* (pow (/ h d) -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 d #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) (if (<=.f64 d #s(literal 2308094809027379/281474976710656 binary64)) (*.f64 #s(approx (* (/ 1 (sqrt (/ h d))) (pow (/ d l) (/ 1 2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) #s(approx (- 1 (* (* (/ 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 M (/.f64 M d)) d) h)))) #s(approx (* (* (pow (/ h d) -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 d #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) #s(approx (* (* (pow (/ h d) -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 h #s(literal -5524966255804191/167423219872854268898191413915625282900219501828989626163085998182867351738271269139562246689952477832436667643367679191435491450889424069312259024604665231311477621481628609147204290704099549091843034096141351171618467832303105743111961624157454108040174944963852221369694216119572256044331338563584 binary64)) (/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (*.f64 #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (neg.f64 h))) (if (<=.f64 h #s(literal 5613300870566399/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 binary64)) #s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h #s(literal 5613300870566399/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 binary64)) #s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h #s(literal 5925150918931199/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 binary64)) #s(approx (* (* (pow (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -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 (*.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 99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 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 (/.f64 #s(literal 1/2 binary64) d) M) D)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/2 binary64)) l) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) (*.f64 h D)) #s(literal 1 binary64)) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 h l))))) |
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 h l) (*.f64 (pow.f64 (/.f64 (*.f64 D M) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal 2 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 99999999999999990660396936451049407652789096389402106318690169014230827417515340183487244380298106827518051036015414262787762879627804165648934234223216948652905993920546904997130825691790753915825536773603473752064 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) d) M) D) (/.f64 (neg.f64 h) l)) (*.f64 (/.f64 M d) (*.f64 (*.f64 #s(literal 1/2 binary64) D) #s(literal 1/2 binary64))) #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))))) (*.f64 (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 D M) d)) l) (*.f64 (*.f64 D h) (*.f64 #s(literal 1/4 binary64) (/.f64 M d))) #s(literal 1 binary64)))) |
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(if (<=.f64 h #s(literal 5613300870566399/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 binary64)) #s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h #s(literal 5613300870566399/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 binary64)) #s(approx (* (* (pow (/ h d) -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 (/ h d) -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 h #s(literal 5925150918931199/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 binary64)) #s(approx (* (* (pow (/ h d) -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 (/ h d) -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))) |
(if (<=.f64 h #s(literal 5925150918931199/623700096729599941142616472824012051896078518886080481719546013261628716209051270557799364216448656590419514638810154763741386871372998018980991186964009818850001772797214273911730537951363433494579173982669976247915878267225271996527767271390013799220975283398673763013237029759482503102464 binary64)) #s(approx (* (* (pow (/ h d) -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 (/ h d) -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 (/ h d) -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 (/ h d) -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 | 169 | 9238 |
| 1 | 477 | 9038 |
| 2 | 1678 | 8958 |
| 3 | 4040 | 8932 |
| 0 | 8013 | 8764 |
| 0 | 62 | 2502 |
| 1 | 172 | 2470 |
| 2 | 621 | 2470 |
| 3 | 3321 | 2470 |
| 4 | 5958 | 2470 |
| 5 | 7982 | 2470 |
| 0 | 8092 | 2425 |
| 0 | 20 | 50 |
| 0 | 34 | 48 |
| 1 | 114 | 48 |
| 2 | 719 | 48 |
| 3 | 7801 | 48 |
| 0 | 8835 | 47 |
| 0 | 82 | 418 |
| 0 | 135 | 412 |
| 1 | 399 | 368 |
| 2 | 2607 | 361 |
| 0 | 8453 | 359 |
| 0 | 75 | 317 |
| 0 | 125 | 300 |
| 1 | 417 | 286 |
| 2 | 2987 | 280 |
| 0 | 9572 | 272 |
| 0 | 294 | 18606 |
| 1 | 853 | 17726 |
| 2 | 3098 | 17582 |
| 3 | 7359 | 17534 |
| 0 | 8094 | 17126 |
| 0 | 55 | 203 |
| 0 | 92 | 196 |
| 1 | 259 | 182 |
| 2 | 1455 | 182 |
| 0 | 8705 | 178 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
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| 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 |
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| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 5 495 to 2 168 computations (60.5% saved)
Compiled 3 154 to 746 computations (76.3% saved)
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