
Time bar (total: 24.4s)
| 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)
| 2.5s | 13 365× | 0 | invalid |
| 1.5s | 8 256× | 0 | valid |
ival-div: 1.1s (38.4% of total)ival-mult: 761.0ms (26% of total)ival-pow: 655.0ms (22.4% of total)ival-pow2: 235.0ms (8% of total)ival-sub: 108.0ms (3.7% of total)exact: 20.0ms (0.7% of total)ival-true: 17.0ms (0.6% of total)ival-assert: 9.0ms (0.3% of total)| 1× | egg-herbie |
| 6 600× | lower-*.f32 |
| 6 588× | lower-*.f64 |
| 3 422× | lower-/.f32 |
| 3 414× | lower-/.f64 |
| 2 244× | lower-fma.f64 |
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 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64)))) |
(abs D)
(abs M)
(sort M D)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 68 | 0 | - | 2 | (-6.369902865689298e-297 -9.279118357852975e-153 -8.107393160660645e+22 1.5920971578038095e-231 1.7320028149746514e-181) | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 56 | 0 | - | 1 | (-1.3196161981211561e-20 -1.074222048635671e+299 -3.0392745459498227e-210 3.0143881820178957e+64 2.3839614220639577e+188) | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 41 | 0 | - | 2 | (9.650528350434399e+116 1.0286198170105152e+46 4.055204498007299e-106 1.2729858913898937e-200 7.830343796649533e+156) | (*.f64 (*.f64 (/.f64 #s(literal 1 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 | 0 | - | 1 | (3.510032410531218e-194 3.447265798697119e+142 3.932464307316833e+94 1.2694705495015031e-228 2.4227168567434744e+132) | (*.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)))) |
| 20 | 1 | (7.693504644831707e-77 5.973329035264374e-190 2.8721624346170848e-251 1.3110108773879094e-222 7.299968436796658e-178) | 3 | (8.600086478158209e-14 4.020010198080289e+255 2.9480429127841895e-46 2.2237247856698642e-271 1.4236052299232006e-40) | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| 0 | 0 | - | 0 | - | D |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) d) |
| 0 | 0 | - | 0 | - | (/.f64 h l) |
| 0 | 0 | - | 0 | - | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 d l) |
| 0 | 0 | - | 0 | - | (*.f64 M D) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 d h) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | l |
| 0 | 0 | - | 0 | - | (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | M |
| 0 | 0 | - | 0 | - | h |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 38 | 0 |
| ↳ | (/.f64 d l) | overflow | 38 | |
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 29 | 0 |
| ↳ | (/.f64 d h) | overflow | 29 | |
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 28 | 0 |
| ↳ | (/.f64 d l) | underflow | 28 | |
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 26 | 0 |
| ↳ | (/.f64 d h) | underflow | 26 | |
*.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 | 12 | 0 |
| ↳ | (/.f64 d h) | underflow | 26 | |
| ↳ | (/.f64 d l) | underflow | 28 | |
| ↳ | (*.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 | 16 | |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 71 | |
| ↳ | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) | overflow | 71 | |
| ↳ | (/.f64 h l) | overflow | 37 | |
| ↳ | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 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 | 84 | |
| ↳ | (*.f64 (*.f64 (/.f64 #s(literal 1 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 | 84 | |
| ↳ | (*.f64 M D) | overflow | 26 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 41 | |
*.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 | 11 | 0 |
*.f64 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | n*o | 9 | 0 |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | o/n | 7 | 0 |
| ↳ | (*.f64 M D) | overflow | 26 | |
*.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 | 5 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 71 | |
| ↳ | (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) | overflow | 71 | |
| ↳ | (*.f64 M D) | overflow | 26 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 41 | |
| ↳ | (/.f64 h l) | underflow | 25 | |
*.f64 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | u*o | 2 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | underflow | 80 | |
| ↳ | (*.f64 (/.f64 #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 | 80 | |
| ↳ | (*.f64 M D) | underflow | 32 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | underflow | 41 | |
| ↳ | (/.f64 h l) | overflow | 37 | |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | u/n | 1 | 0 |
| ↳ | (*.f64 M D) | underflow | 32 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 83 | 5 |
| - | 36 | 132 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 83 | 0 | 5 |
| - | 36 | 0 | 132 |
| number | freq |
|---|---|
| 0 | 137 |
| 1 | 80 |
| 2 | 30 |
| 3 | 8 |
| 4 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 217.0ms | 512× | 0 | valid |
Compiled 392 to 92 computations (76.5% saved)
ival-mult: 105.0ms (55.5% of total)ival-div: 42.0ms (22.2% of total)ival-pow: 21.0ms (11.1% of total)ival-sub: 15.0ms (7.9% of total)ival-pow2: 5.0ms (2.6% of total)ival-true: 1.0ms (0.5% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)Compiled 5 to 5 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 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 40 to 22 computations (45% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 5504 | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #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))) |
| 6 600× | lower-*.f32 |
| 6 588× | lower-*.f64 |
| 3 422× | lower-/.f32 |
| 3 414× | lower-/.f64 |
| 2 244× | lower-fma.f64 |
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 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #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)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) |
(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 h #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 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 h #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 l (*.f64 #s(literal 4 binary64) (*.f64 d d))))) |
(*.f64 (/.f64 #s(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 1/2 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 #s(literal 4 binary64) (*.f64 d d)))) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 M D) (*.f64 M D)) (*.f64 #s(literal 4 binary64) (*.f64 d d))) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(*.f64 d #s(literal 2 binary64)) |
(/.f64 h l) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 91.2% | (*.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)))) |
| ✓ | accuracy | 85.3% | (*.f64 (*.f64 (/.f64 #s(literal 1 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 | 79.5% | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| ✓ | accuracy | 75.2% | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 159.0ms | 256× | 0 | valid |
Compiled 156 to 24 computations (84.6% saved)
ival-div: 45.0ms (66.9% of total)ival-pow: 10.0ms (14.9% of total)ival-mult: 8.0ms (11.9% of total)ival-pow2: 2.0ms (3% of total)ival-sub: 1.0ms (1.5% 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 (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #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 (/.f64 #s(literal 1 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 (pow.f64 (/.f64 d 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)))) (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)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 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>) () ()) |
| Outputs |
|---|
#s(alt (sqrt (/ d h)) (taylor 0 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 (sqrt (/ d h)) (taylor 0 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 (sqrt (/ d h)) (taylor 0 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 (sqrt (/ d h)) (taylor 0 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 (sqrt (/ d h)) (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 (sqrt (/ d h)) (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 (sqrt (/ d h)) (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 (sqrt (/ d h)) (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 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 (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 (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 (* (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 (sqrt (/ d l)) (taylor 0 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 (sqrt (/ d l)) (taylor 0 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 (sqrt (/ d l)) (taylor 0 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 (sqrt (/ d l)) (taylor 0 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 (sqrt (/ d l)) (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 (sqrt (/ d l)) (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 (sqrt (/ d l)) (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 (sqrt (/ d l)) (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 (* (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 (sqrt (/ d l)) (taylor 0 l) (#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 (sqrt (/ d l)) (taylor 0 l) (#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 (sqrt (/ d l)) (taylor 0 l) (#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 (sqrt (/ d l)) (taylor 0 l) (#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 (sqrt (/ d l)) (taylor inf l) (#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 (sqrt (/ d l)) (taylor inf l) (#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 (sqrt (/ d l)) (taylor inf l) (#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 (sqrt (/ d l)) (taylor inf l) (#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 (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#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 (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#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 (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#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 (* (sqrt (/ d l)) (pow (sqrt -1) 2)) (taylor -inf l) (#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 (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor -inf M) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) (taylor 0 D) (#s(alt (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) (taylor -inf D) (#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)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 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 d 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)))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) (taylor -inf D) (#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)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 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 d 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)))) #<representation binary64>) () ())) ()) |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | d | @ | 0 | (pow (/ d h) (/ 1 2)) |
| 13.0ms | l | @ | inf | (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) |
| 2.0ms | D | @ | 0 | (pow (/ (* M D) (* 2 d)) 2) |
| 2.0ms | h | @ | 0 | (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) |
| 1.0ms | M | @ | 0 | (pow (/ (* M D) (* 2 d)) 2) |
| 1× | egg-herbie |
| 6 660× | lower-fma.f64 |
| 6 660× | lower-fma.f32 |
| 5 620× | lower-*.f64 |
| 5 620× | lower-*.f32 |
| 3 426× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 3277 |
| 1 | 321 | 3193 |
| 2 | 1147 | 3183 |
| 3 | 2635 | 3164 |
| 4 | 5494 | 3164 |
| 0 | 8538 | 3125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(* -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))) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(* (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)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d 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 (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d 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)) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* 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 (* (* 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)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) 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) (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)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
| 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)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
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(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
| 1× | batch-egg-rewrite |
| 7 446× | lower-*.f32 |
| 7 434× | lower-*.f64 |
| 4 352× | lower-fma.f64 |
| 4 352× | lower-fma.f32 |
| 3 368× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 64 |
| 0 | 38 | 60 |
| 1 | 124 | 59 |
| 2 | 828 | 59 |
| 0 | 8726 | 58 |
| 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))) |
(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)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (*.f64 d d) h) h)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 #s(literal 1 binary64) (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) (neg.f64 (sqrt.f64 (/.f64 h d)))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 h (neg.f64 d)))) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 h)))) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 d d) h) h) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 d)) |
(*.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 h #s(literal -1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h)))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) |
(*.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 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64))) (pow.f64 h #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l)))) |
(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 (/.f64 (*.f64 d d) l) 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 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 l d)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 l d)))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 l)) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 l (neg.f64 d)))) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 l))) |
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 d))) (neg.f64 (sqrt.f64 (neg.f64 l)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 l)) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
(/.f64 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 l)) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 d)) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 l))) |
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 d d) l) l) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d l)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) |
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 l #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (sqrt.f64 d)) |
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) l) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) l))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 l #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.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 (*.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64))) (pow.f64 l #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/8 binary64))) (pow.f64 (/.f64 l d) #s(literal -1/8 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(exp.f64 (+.f64 (log.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (log.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))))) |
(neg.f64 (neg.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M (*.f64 D (*.f64 M D))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 (neg.f64 D) (*.f64 M (*.f64 M D))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 d #s(literal -2 binary64))) (neg.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 d (*.f64 d #s(literal 2 binary64))) (*.f64 M D)) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (*.f64 d #s(literal 2 binary64))) (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d d) (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d #s(literal 2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1/4 binary64)) d))) |
(/.f64 (*.f64 M D) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))) |
(/.f64 (*.f64 M D) (neg.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (neg.f64 (*.f64 M D))))) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M D)))) |
(/.f64 (neg.f64 (*.f64 M D)) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (neg.f64 (*.f64 M D)))) |
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (/.f64 (*.f64 d (*.f64 d #s(literal 2 binary64))) (*.f64 M D))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (*.f64 M D)))) |
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 d (*.f64 d #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 M (*.f64 M D))) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))) (*.f64 d (*.f64 d #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1/4 binary64)) (*.f64 d d)) |
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (*.f64 d (*.f64 d #s(literal 2 binary64))) (*.f64 M D)))) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))) |
(/.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 d #s(literal 2 binary64)) D)) |
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal 2 binary64))) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (/.f64 d D)) |
(/.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal -2 binary64))) (*.f64 d #s(literal -2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1/4 binary64)) d) d) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))))) (neg.f64 (*.f64 d (*.f64 d #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1/4 binary64))) (*.f64 d (neg.f64 d))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1/4 binary64)) d)) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))) |
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 d #s(literal -2 binary64)) (*.f64 M D))) |
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) D) d) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 (*.f64 M D) #s(literal -1/2 binary64))) (neg.f64 d)) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 (*.f64 M D) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 d #s(literal 2 binary64)) D)) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) M) (*.f64 d #s(literal 2 binary64))) (/.f64 D d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 d #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 d D)) |
(/.f64 (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1 binary64)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) (*.f64 M (*.f64 M D))) #s(literal 1 binary64)) (neg.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 d (*.f64 d #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (*.f64 d (*.f64 d #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (*.f64 d d)) |
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(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d h))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 h #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/8 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 d d) (*.f64 h l)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 d d) (*.f64 h l)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) #s(literal 3 binary64))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h))) (*.f64 l l))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 d l)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (pow.f64 (/.f64 (*.f64 d d) (*.f64 h l)) #s(literal 1/4 binary64))) (pow.f64 (/.f64 (*.f64 d d) (*.f64 h l)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)))) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #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 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) l))) |
Compiled 32 235 to 2 662 computations (91.7% saved)
40 alts after pruning (40 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 769 | 40 | 809 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 770 | 40 | 810 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 25.7% | (fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
| 27.0% | (fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) | |
| 26.5% | (fma.f64 (*.f64 h (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) | |
| 29.6% | (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) | |
| 27.7% | (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h)) | |
| 27.3% | (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) | |
| 28.1% | (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l)) | |
| ▶ | 48.7% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
| 48.9% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d))) | |
| 32.5% | (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) | |
| 51.7% | (*.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 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) h)) l))) | |
| 67.0% | (*.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 M D) (*.f64 d #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (*.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M D)))))) | |
| ▶ | 52.6% | (*.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)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))) |
| 51.7% | (*.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 #s(literal 1 binary64) (/.f64 l (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) h)))))) | |
| ▶ | 69.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
| 60.8% | (*.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 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)))))) | |
| 58.6% | (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) (/.f64 h l)))))) | |
| 39.6% | (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (/.f64 d M)) (/.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) D)))) (/.f64 h l)))) | |
| 43.7% | (*.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 D D) (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M)))) (*.f64 d (*.f64 d l)))))) | |
| 35.4% | (*.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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 38.4% | (*.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)))) | |
| 66.1% | (*.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)))) | |
| 37.5% | (*.f64 (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 h)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 66.2% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 37.6% | (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 37.6% | (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 d)) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 37.4% | (*.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (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)))) | |
| 49.1% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) | |
| 66.5% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d 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)))) | |
| 28.2% | (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))) | |
| 27.8% | (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))) | |
| 19.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d)) | |
| 16.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.f64 l l))) | |
| 30.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h)) | |
| 15.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) | |
| 15.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) | |
| 26.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) | |
| 26.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))))) | |
| 2.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d))))) | |
| ▶ | 28.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
Compiled 3 046 to 1 836 computations (39.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 1088 | (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))) |
| ✓ | 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 | 0 | (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
| ✓ | cost-diff | 320 | (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
| ✓ | cost-diff | 2368 | (fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 d l)) |
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
| ✓ | cost-diff | 704 | (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 h l)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) |
| ✓ | cost-diff | 0 | (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) |
| ✓ | cost-diff | 0 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 1088 | (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) |
| ✓ | 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))) |
| 6 728× | lower-*.f32 |
| 6 688× | lower-*.f64 |
| 5 042× | lower-/.f32 |
| 5 010× | lower-/.f64 |
| 1 784× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 664 |
| 0 | 125 | 650 |
| 1 | 284 | 620 |
| 2 | 1123 | 598 |
| 3 | 6202 | 598 |
| 0 | 8891 | 589 |
| 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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) 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)))) |
(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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) |
(*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) |
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) |
(*.f64 M (*.f64 D #s(literal 1/2 binary64))) |
M |
(*.f64 D #s(literal 1/2 binary64)) |
D |
#s(literal 1/2 binary64) |
(*.f64 d #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) |
(*.f64 M D) |
(/.f64 #s(literal 1 binary64) h) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) |
d |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) |
(/.f64 #s(literal 1 binary64) (*.f64 h l)) |
#s(literal 1 binary64) |
(*.f64 h l) |
h |
l |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
d |
l |
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) |
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(*.f64 M (*.f64 D (*.f64 M D))) |
M |
(*.f64 D (*.f64 M D)) |
D |
(*.f64 M D) |
(*.f64 (*.f64 d d) #s(literal 4 binary64)) |
(*.f64 d d) |
#s(literal 4 binary64) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
#s(literal -1/2 binary64) |
(/.f64 h l) |
h |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h d) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(*.f64 d d) |
d |
(*.f64 h l) |
h |
l |
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) |
(*.f64 M D) |
M |
D |
(*.f64 M (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 D #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 d d) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(neg.f64 (/.f64 h l)) |
(/.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 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M 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 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))) |
(/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))) |
(*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 1/2 binary64) (/.f64 h l)) |
#s(literal 1/2 binary64) |
(/.f64 h l) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) |
(*.f64 (*.f64 d d) #s(literal 4 binary64)) |
(*.f64 d d) |
#s(literal 4 binary64) |
| 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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/4 binary64)) (/.f64 (*.f64 D (*.f64 M h)) (*.f64 d (*.f64 #s(literal 2 binary64) 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)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) |
(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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal -1/4 binary64)) (/.f64 (*.f64 D (*.f64 M h)) (*.f64 d (*.f64 #s(literal 2 binary64) l))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) (*.f64 D (*.f64 M h))) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) |
(/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) |
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) |
(*.f64 M (*.f64 D #s(literal 1/2 binary64))) |
M |
(*.f64 D #s(literal 1/2 binary64)) |
D |
#s(literal 1/2 binary64) |
(*.f64 d #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 (*.f64 D (*.f64 M h)) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) |
(*.f64 M D) |
(/.f64 #s(literal 1 binary64) h) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) |
d |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) |
(/.f64 #s(literal 1 binary64) (*.f64 h l)) |
#s(literal 1 binary64) |
(*.f64 h l) |
h |
l |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (fma.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
d |
l |
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (/.f64 h (*.f64 (*.f64 d d) l)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 d #s(literal 4 binary64)))) |
(*.f64 M (*.f64 D (*.f64 M D))) |
M |
(*.f64 D (*.f64 M D)) |
D |
(*.f64 M D) |
(*.f64 (*.f64 d d) #s(literal 4 binary64)) |
(*.f64 d (*.f64 d #s(literal 4 binary64))) |
(*.f64 d d) |
#s(literal 4 binary64) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l) |
#s(literal -1/2 binary64) |
(/.f64 h l) |
h |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h d) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 (*.f64 (*.f64 D #s(literal 1/8 binary64)) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M D)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 M (*.f64 D (*.f64 M (*.f64 D #s(literal 1/8 binary64))))) (*.f64 d d))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(*.f64 d d) |
d |
(*.f64 h l) |
h |
l |
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(/.f64 (*.f64 M (*.f64 D (*.f64 M (*.f64 D #s(literal 1/8 binary64))))) (*.f64 d d)) |
(*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) |
(*.f64 M (*.f64 D (*.f64 M (*.f64 D #s(literal 1/2 binary64))))) |
(*.f64 M D) |
M |
D |
(*.f64 M (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 D #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 d d) #s(literal 4 binary64)) |
(*.f64 d (*.f64 d #s(literal 4 binary64))) |
#s(literal 4 binary64) |
(neg.f64 (/.f64 h l)) |
(/.f64 (neg.f64 h) l) |
(/.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 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 (*.f64 (*.f64 D #s(literal 1/8 binary64)) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M 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)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) |
(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 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)))) |
(-.f64 #s(literal 1 binary64) (*.f64 M (*.f64 (*.f64 (*.f64 D #s(literal 1/8 binary64)) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M D)))) |
(/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))) |
(*.f64 M (*.f64 (*.f64 (*.f64 D #s(literal 1/8 binary64)) (/.f64 h (*.f64 (*.f64 d d) l))) (*.f64 M D))) |
(*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) |
(*.f64 M (*.f64 D (*.f64 #s(literal 1/2 binary64) (/.f64 h l)))) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 1/2 binary64) (/.f64 h l)) |
#s(literal 1/2 binary64) |
(/.f64 h l) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) |
(/.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) (*.f64 M D)) |
(*.f64 (*.f64 d d) #s(literal 4 binary64)) |
(*.f64 d (*.f64 d #s(literal 4 binary64))) |
(*.f64 d d) |
#s(literal 4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 86.3% | (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))) |
| ✓ | accuracy | 83.4% | (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) |
| ✓ | accuracy | 79.5% | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| ✓ | accuracy | 75.2% | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| ✓ | accuracy | 84.6% | (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
| ✓ | accuracy | 78.9% | (/.f64 (*.f64 d d) (*.f64 h l)) |
| ✓ | accuracy | 75.8% | (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
| ✓ | accuracy | 69.6% | (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) |
| ✓ | accuracy | 88.6% | (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) |
| ✓ | accuracy | 79.7% | (sqrt.f64 (/.f64 h d)) |
| ✓ | accuracy | 75.8% | (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
| ✓ | accuracy | 75.2% | (sqrt.f64 (/.f64 d l)) |
| ✓ | accuracy | 99.6% | (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (*.f64 h l)) |
| ✓ | accuracy | 75.9% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) |
| ✓ | accuracy | 29.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
| ✓ | accuracy | 91.5% | (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) |
| ✓ | accuracy | 91.2% | (*.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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
| ✓ | accuracy | 79.5% | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| ✓ | accuracy | 75.2% | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 160.0ms | 256× | 0 | valid |
Compiled 695 to 69 computations (90.1% saved)
ival-mult: 56.0ms (48.9% of total)ival-div: 30.0ms (26.2% of total)ival-pow: 11.0ms (9.6% of total)ival-sqrt: 6.0ms (5.2% of total)ival-sub: 3.0ms (2.6% of total)ival-neg: 3.0ms (2.6% of total)ival-pow2: 3.0ms (2.6% of total)ival-add: 2.0ms (1.7% 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 (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 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<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 #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #<representation binary64>) () ()) |
#s(alt (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (patch (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 h l)) (patch (/.f64 #s(literal 1 binary64) (*.f64 h l)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) (patch (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (patch (fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (patch (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (patch (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))) (patch (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))) #<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)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (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)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (patch (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (sqrt (/ d h)) (taylor 0 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 (sqrt (/ d h)) (taylor 0 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 (sqrt (/ d h)) (taylor 0 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 (sqrt (/ d h)) (taylor 0 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 (sqrt (/ d h)) (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 (sqrt (/ d h)) (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 (sqrt (/ d h)) (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>) () ())) ()) |
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#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor 0 D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor 0 D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor inf D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor inf D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor inf D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor inf D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor -inf D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor -inf D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor -inf D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (/ (pow d 2) (* D M))) (taylor -inf D) (#s(alt (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) (patch (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #<representation binary64>) () ())) ()) |
234 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | h | @ | 0 | (/ (/ (* M D) (* d 2)) (/ 1 h)) |
| 4.0ms | h | @ | -inf | (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) |
| 3.0ms | D | @ | 0 | (/ (/ (* M (* D 1/2)) (* d 2)) l) |
| 2.0ms | D | @ | inf | (+ (* (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (neg (/ h l))) (sqrt (/ (* d d) (* h l)))) |
| 1.0ms | d | @ | 0 | (+ (* (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (neg (/ h l))) (sqrt (/ (* d d) (* h l)))) |
| 1× | egg-herbie |
| 8 424× | lower-*.f64 |
| 8 424× | lower-*.f32 |
| 5 132× | lower-fma.f64 |
| 5 132× | lower-fma.f32 |
| 2 940× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 246 | 14653 |
| 1 | 713 | 14232 |
| 2 | 2609 | 14176 |
| 3 | 5842 | 14125 |
| 0 | 8377 | 13885 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(* -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))) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(* (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)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d 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 (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d l)) |
(sqrt (/ d 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)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -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 (* (* 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)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) 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) (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)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* (* d (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)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (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)))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(sqrt (/ 1 (* h l))) |
(sqrt (/ 1 (* h l))) |
(sqrt (/ 1 (* h l))) |
(sqrt (/ 1 (* h l))) |
(sqrt (/ 1 (* h l))) |
(sqrt (/ 1 (* h l))) |
(sqrt (/ 1 (* h l))) |
(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)) |
(sqrt (/ 1 (* h l))) |
(sqrt (/ 1 (* h l))) |
(sqrt (/ 1 (* h l))) |
(sqrt (/ 1 (* h l))) |
(sqrt (/ 1 (* h l))) |
(sqrt (/ 1 (* h l))) |
(sqrt (/ 1 (* h l))) |
(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 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
(/ 1 (* h l)) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
1 |
(+ 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))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) 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 |
(+ 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 |
(+ 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 |
(+ 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 (/ 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))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(* 1/4 (/ (* (pow D 2) (pow M 2)) (pow d 2))) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(* -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))) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(* (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)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(/ (pow d 2) (* h l)) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
(* 4 (/ (pow d 2) (* D M))) |
| 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)) |
(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 (* (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)) |
(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 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 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))) |
(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)) |
(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 (* (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 (/ 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)) |
(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)) |
(* (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))) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d) |
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(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/ (pow d 2) (* h l)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
(* 4 (/ (pow d 2) (* D M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 D M)) |
| 1× | batch-egg-rewrite |
| 4 460× | lower-*.f32 |
| 4 422× | lower-*.f64 |
| 3 516× | lower-/.f32 |
| 3 484× | lower-/.f64 |
| 2 604× | lower-pow.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 342 |
| 0 | 121 | 311 |
| 1 | 458 | 267 |
| 2 | 4186 | 262 |
| 0 | 8155 | 262 |
| 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 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) |
(/.f64 #s(literal 1 binary64) (*.f64 h l)) |
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 d l)) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) |
(/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M 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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) |
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 h d))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 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 (neg.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64)))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 #s(literal 1 binary64) (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 (/.f64 h d) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d)))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (/.f64 #s(literal 1 binary64) (sqrt.f64 d))) |
(/.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 (sqrt.f64 (*.f64 d #s(literal -1 binary64))) (sqrt.f64 (neg.f64 h))) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 d))) |
(*.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d l) (/.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 (fma.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64) (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 l d) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 l)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 l d)))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.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 (*.f64 (sqrt.f64 d) #s(literal 1 binary64)) (sqrt.f64 l)) |
(/.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)))) |
(pow.f64 (/.f64 d l) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 l d) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d l)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d l))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l))) |
(*.f64 (sqrt.f64 (/.f64 d l)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 d) (/.f64 #s(literal 1 binary64) (sqrt.f64 l))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (sqrt.f64 d)) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 l)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (log.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) (neg.f64 (log.f64 h)))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 #s(literal -1 binary64) h))) |
(neg.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 h (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)) (*.f64 M D))) |
(/.f64 (*.f64 M D) (*.f64 (/.f64 d h) #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 d h)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))))) |
(/.f64 (*.f64 M (neg.f64 D)) (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)))) |
(/.f64 (*.f64 M (neg.f64 D)) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) h)) |
(/.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d h)) |
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 (/.f64 d h) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 M (neg.f64 D)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) |
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 M (neg.f64 D)) h) (*.f64 d #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) h) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) h)) (*.f64 d #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)) (*.f64 M D)) #s(literal -1 binary64)) |
(*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d)) |
(*.f64 M (/.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 M (*.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) h)) |
(*.f64 M (/.f64 D (*.f64 (/.f64 d h) #s(literal 2 binary64)))) |
(*.f64 D (/.f64 M (*.f64 (/.f64 d h) #s(literal 2 binary64)))) |
(*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h))) |
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(/.f64 #s(literal 1 binary64) (/.f64 D (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) M))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64)) (*.f64 M (neg.f64 D))) |
(/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) M) D) |
(/.f64 (neg.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64))) (neg.f64 (*.f64 M (neg.f64 D)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) M)) (neg.f64 D)) |
(/.f64 (*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 M D)) |
(/.f64 (*.f64 (/.f64 (*.f64 d d) M) #s(literal 4 binary64)) D) |
(/.f64 (*.f64 (*.f64 d d) (/.f64 #s(literal 4 binary64) D)) M) |
(/.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) D) M) |
(pow.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 (*.f64 d d) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 D (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) M)) #s(literal -1 binary64)) |
(*.f64 d (/.f64 (*.f64 d #s(literal 4 binary64)) (*.f64 M D))) |
(*.f64 d (*.f64 d (/.f64 #s(literal 4 binary64) (*.f64 M D)))) |
(*.f64 d (*.f64 (*.f64 d #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 M D)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (*.f64 M D))) |
(*.f64 (*.f64 d d) (/.f64 #s(literal 4 binary64) (*.f64 M D))) |
(*.f64 #s(literal 4 binary64) (/.f64 (*.f64 d d) (*.f64 M D))) |
(*.f64 #s(literal 4 binary64) (*.f64 (*.f64 d d) (/.f64 #s(literal 1 binary64) (*.f64 M D)))) |
(*.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 M D))) |
(*.f64 (*.f64 (*.f64 d d) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 M (neg.f64 D)))) |
(*.f64 (/.f64 (*.f64 d d) M) (/.f64 #s(literal 4 binary64) D)) |
(*.f64 (/.f64 #s(literal 4 binary64) D) (/.f64 (*.f64 d d) M)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 M D)) (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 d d) #s(literal 4 binary64)) M) (/.f64 #s(literal 1 binary64) D)) |
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 M D)) (*.f64 d d)) |
(*.f64 (/.f64 d M) (/.f64 (*.f64 d #s(literal 4 binary64)) D)) |
(*.f64 (/.f64 d D) (/.f64 (*.f64 d #s(literal 4 binary64)) M)) |
(*.f64 (/.f64 (*.f64 d d) D) (/.f64 #s(literal 4 binary64) M)) |
(*.f64 (/.f64 #s(literal 4 binary64) M) (/.f64 (*.f64 d d) D)) |
Compiled 88 306 to 4 090 computations (95.4% saved)
62 alts after pruning (61 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 412 | 52 | 2 464 |
| Fresh | 26 | 9 | 35 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 442 | 62 | 2 504 |
| Status | Accuracy | Program |
|---|---|---|
| 22.7% | (fma.f64 (/.f64 (*.f64 d (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 h l)))) | |
| 28.0% | (fma.f64 (*.f64 (/.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) d) (/.f64 (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) | |
| 20.7% | (fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 M D) #s(literal 1/8 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (neg.f64 (/.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l)))) | |
| 25.3% | (fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) | |
| 27.0% | (fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) | |
| 23.5% | (fma.f64 #s(approx (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (/.f64 #s(literal -1/8 binary64) d))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) | |
| 48.1% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) | |
| 29.7% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l))) | |
| 29.6% | (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) | |
| 27.3% | (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) | |
| 63.6% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| ▶ | 60.4% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
| 52.4% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 64.4% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 66.3% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 59.9% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 64.0% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 65.9% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 64.4% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 49.9% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d))) | |
| 19.7% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d))) | |
| 8.9% | (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) | |
| 32.5% | (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) | |
| 39.6% | (*.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)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (/.f64 d M)) (/.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) D)))) (/.f64 h l)))) | |
| 43.7% | (*.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 (/ (* (* M D) (* 1/2 (/ h l))) (/ (* (* d d) 4) (* M D))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d (*.f64 d l))))))) | |
| 39.3% | (*.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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) | |
| ▶ | 69.5% | (*.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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
| 39.1% | (*.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 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) | |
| ▶ | 48.9% | (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| 37.4% | (*.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (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)))) | |
| 48.5% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h))) | |
| 49.1% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) | |
| 20.1% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))) | |
| 17.6% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l))) | |
| 29.2% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h)) | |
| 17.3% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)) | |
| 15.9% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) | |
| 26.0% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) | |
| 31.1% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))))) | |
| 17.9% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) | |
| 15.6% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) | |
| 24.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) | |
| 13.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) | |
| ▶ | 37.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
| 17.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) | |
| 28.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) | |
| 15.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) | |
| 18.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) | |
| ▶ | 28.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
| 28.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) | |
| 15.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) | |
| 37.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) | |
| 26.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))))) | |
| 25.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) | |
| 3.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) | |
| 28.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) | |
| 28.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) | |
| 28.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) | |
| 28.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) | |
| ✓ | 28.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
| 27.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64))))) | |
| 24.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
Compiled 3 710 to 2 312 computations (37.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
| ✓ | cost-diff | 384 | (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 704 | (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) |
| ✓ | cost-diff | 320 | (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 d h) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 d h)) |
| ✓ | cost-diff | 0 | (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
| ✓ | cost-diff | 0 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
| ✓ | cost-diff | 0 | (*.f64 h l) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 h l)) |
| ✓ | cost-diff | 0 | (/.f64 d (sqrt.f64 (*.f64 h l))) |
| ✓ | cost-diff | 0 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
| ✓ | cost-diff | 1088 | (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) |
| ✓ | cost-diff | 5824 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 9 396× | lower-*.f32 |
| 9 358× | lower-*.f64 |
| 2 428× | lower-/.f32 |
| 2 396× | lower-/.f64 |
| 1 738× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 594 |
| 0 | 118 | 588 |
| 1 | 238 | 566 |
| 2 | 823 | 538 |
| 3 | 6611 | 538 |
| 0 | 8278 | 534 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) |
(*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) |
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) |
(*.f64 M (*.f64 D #s(literal 1/2 binary64))) |
M |
(*.f64 D #s(literal 1/2 binary64)) |
D |
#s(literal 1/2 binary64) |
(*.f64 d #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) |
(*.f64 M D) |
(/.f64 #s(literal 1 binary64) h) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 d (sqrt.f64 (*.f64 h l))) |
d |
(sqrt.f64 (*.f64 h l)) |
(*.f64 h l) |
h |
l |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
(sqrt.f64 (/.f64 l d)) |
(/.f64 l d) |
l |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) |
(*.f64 h #s(literal -1/2 binary64)) |
h |
#s(literal -1/2 binary64) |
(*.f64 M (*.f64 D (*.f64 M D))) |
M |
(*.f64 D (*.f64 M D)) |
D |
(*.f64 M D) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
l |
(*.f64 (*.f64 d d) #s(literal 4 binary64)) |
(*.f64 d d) |
d |
#s(literal 4 binary64) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
d |
l |
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) |
(*.f64 M (*.f64 D (*.f64 M D))) |
M |
(*.f64 D (*.f64 M D)) |
D |
(*.f64 M D) |
(/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) |
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l) |
(*.f64 h #s(literal -1/2 binary64)) |
h |
#s(literal -1/2 binary64) |
(*.f64 d #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h d) |
| Outputs |
|---|
(*.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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (fma.f64 h (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) (*.f64 M D)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) |
(*.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) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) |
(fma.f64 h (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) (*.f64 M D)) (*.f64 #s(literal -2 binary64) d)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) (*.f64 h M)) (/.f64 D (*.f64 d #s(literal 2 binary64)))) |
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) |
(/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) |
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d) |
(*.f64 M (*.f64 D #s(literal 1/2 binary64))) |
M |
(*.f64 D #s(literal 1/2 binary64)) |
D |
#s(literal 1/2 binary64) |
(*.f64 d #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 (*.f64 M (*.f64 D h)) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) |
(*.f64 M D) |
(/.f64 #s(literal 1 binary64) h) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 d (sqrt.f64 (*.f64 h l))) |
d |
(sqrt.f64 (*.f64 h l)) |
(*.f64 h l) |
h |
l |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
(sqrt.f64 (/.f64 l d)) |
(/.f64 l d) |
l |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 h (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) |
(fma.f64 h (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
(/.f64 (*.f64 h (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64))) (*.f64 l (*.f64 d d))) |
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) |
(*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) |
(*.f64 h #s(literal -1/2 binary64)) |
h |
#s(literal -1/2 binary64) |
(*.f64 M (*.f64 D (*.f64 M D))) |
M |
(*.f64 D (*.f64 M D)) |
D |
(*.f64 M D) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(*.f64 l (*.f64 d (*.f64 d #s(literal 4 binary64)))) |
l |
(*.f64 (*.f64 d d) #s(literal 4 binary64)) |
(*.f64 d (*.f64 d #s(literal 4 binary64))) |
(*.f64 d d) |
d |
#s(literal 4 binary64) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (/.f64 (fma.f64 h (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 h d)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 h (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
d |
l |
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) |
(fma.f64 h (/.f64 (*.f64 (*.f64 M (*.f64 D (*.f64 M D))) #s(literal -1/8 binary64)) (*.f64 l (*.f64 d d))) #s(literal 1 binary64)) |
(/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) |
(*.f64 M (*.f64 D (*.f64 M D))) |
M |
(*.f64 D (*.f64 M D)) |
D |
(*.f64 M D) |
(/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) |
(/.f64 (*.f64 h #s(literal -1/8 binary64)) (*.f64 d l)) |
(/.f64 (*.f64 h #s(literal -1/2 binary64)) l) |
(*.f64 h #s(literal -1/2 binary64)) |
h |
#s(literal -1/2 binary64) |
(*.f64 d #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h d) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 93.5% | (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 91.3% | (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) |
| ✓ | accuracy | 79.7% | (sqrt.f64 (/.f64 h d)) |
| ✓ | accuracy | 75.2% | (sqrt.f64 (/.f64 d l)) |
| ✓ | accuracy | 87.2% | (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
| ✓ | accuracy | 79.5% | (sqrt.f64 (/.f64 d h)) |
| ✓ | accuracy | 76.4% | (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
| ✓ | accuracy | 75.2% | (sqrt.f64 (/.f64 d l)) |
| ✓ | accuracy | 99.5% | (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
| ✓ | accuracy | 79.5% | (sqrt.f64 (/.f64 d h)) |
| ✓ | accuracy | 75.3% | (sqrt.f64 (/.f64 l d)) |
| ✓ | accuracy | 50.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
| ✓ | accuracy | 100.0% | (*.f64 h l) |
| ✓ | accuracy | 99.7% | (/.f64 d (sqrt.f64 (*.f64 h l))) |
| ✓ | accuracy | 76.1% | (sqrt.f64 (*.f64 h l)) |
| ✓ | accuracy | 29.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
| ✓ | accuracy | 91.5% | (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) |
| ✓ | accuracy | 91.2% | (*.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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
| ✓ | accuracy | 79.5% | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| ✓ | accuracy | 75.2% | (sqrt.f64 (/.f64 d l)) |
| 190.0ms | 256× | 0 | valid |
Compiled 602 to 68 computations (88.7% saved)
ival-mult: 39.0ms (37.7% of total)ival-div: 33.0ms (31.9% of total)ival-pow: 13.0ms (12.6% of total)ival-sqrt: 8.0ms (7.7% of total)ival-add: 4.0ms (3.9% of total)ival-sub: 2.0ms (1.9% of total)ival-pow2: 2.0ms (1.9% of total)exact: 1.0ms (1% 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 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<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 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (patch (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) #<representation binary64>) () ()) |
#s(alt (/.f64 d (sqrt.f64 (*.f64 h l))) (patch (/.f64 d (sqrt.f64 (*.f64 h l))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ()) |
#s(alt (*.f64 h l) (patch (*.f64 h l) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) (patch (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ()) |
#s(alt (/.f64 d h) (patch (/.f64 d h) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (patch (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) (patch (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) (patch (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) #<representation binary64>) () ()) |
#s(alt (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (patch (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ()) |
#s(alt (*.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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (patch (*.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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 l d)) (patch (sqrt.f64 (/.f64 l d)) #<representation binary64>) () ()) |
#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (sqrt (/ d h)) (taylor 0 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 (sqrt (/ d h)) (taylor 0 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 (sqrt (/ d h)) (taylor 0 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 (sqrt (/ d h)) (taylor 0 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 (sqrt (/ d h)) (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 (sqrt (/ d h)) (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 (sqrt (/ d h)) (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 (sqrt (/ d h)) (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 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 (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 (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 (* (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 (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
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#s(alt (* 4 (* (pow d 2) l)) (taylor inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ h d)) (taylor 0 h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ h d)) (taylor 0 h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ h d)) (taylor 0 h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ h d)) (taylor 0 h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ h d)) (taylor inf h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ h d)) (taylor inf h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ h d)) (taylor inf h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ h d)) (taylor inf h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) (taylor -inf h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) (taylor -inf h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) (taylor -inf h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) (taylor -inf h) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ h d)) (taylor 0 d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ h d)) (taylor 0 d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ h d)) (taylor 0 d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ h d)) (taylor 0 d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ h d)) (taylor inf d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ h d)) (taylor inf d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ h d)) (taylor inf d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (/ h d)) (taylor inf d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ h d)) (pow (sqrt -1) 2)) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ h d)) (pow (sqrt -1) 2)) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ h d)) (pow (sqrt -1) 2)) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ h d)) (pow (sqrt -1) 2)) (taylor -inf d) (#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ())) ()) |
255 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | h | @ | inf | (sqrt (* h l)) |
| 2.0ms | h | @ | -inf | (/ d (sqrt (* h l))) |
| 2.0ms | d | @ | inf | (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1) |
| 2.0ms | d | @ | 0 | (sqrt (/ d h)) |
| 1.0ms | h | @ | 0 | (/ (/ (* h -1/2) l) (* d 4)) |
| 1× | egg-herbie |
| 7 874× | lower-*.f64 |
| 7 874× | lower-*.f32 |
| 5 194× | lower-fma.f64 |
| 5 194× | lower-fma.f32 |
| 3 526× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 314 | 16547 |
| 1 | 905 | 16017 |
| 2 | 3251 | 15907 |
| 3 | 7224 | 15835 |
| 0 | 8232 | 15469 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(* -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))) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(sqrt (/ d h)) |
(* (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)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d 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))) (* -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 (* (* 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)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) 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) (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)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
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1 |
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1 |
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1 |
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(* d (sqrt (/ 1 (* h l)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(sqrt (/ l d)) |
(sqrt (/ l d)) |
(sqrt (/ l d)) |
(sqrt (/ l d)) |
(sqrt (/ l d)) |
(sqrt (/ l d)) |
(sqrt (/ l d)) |
(sqrt (/ l d)) |
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2))) |
(sqrt (/ l d)) |
(sqrt (/ l d)) |
(sqrt (/ l d)) |
(sqrt (/ l d)) |
(sqrt (/ l d)) |
(sqrt (/ l d)) |
(sqrt (/ l d)) |
(sqrt (/ l d)) |
(* (sqrt (/ l d)) (pow (sqrt -1) 2)) |
(* (sqrt (/ l d)) (pow (sqrt -1) 2)) |
(* (sqrt (/ l d)) (pow (sqrt -1) 2)) |
(* (sqrt (/ l d)) (pow (sqrt -1) 2)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(* -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))) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(sqrt (/ h d)) |
(* (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)) |
| 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)) |
(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 (* (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)) |
(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 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 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))) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/2 (/ (* D (* M h)) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 h (*.f64 D M))) d) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d)))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 (*.f64 (*.f64 D D) M) M) (/.f64 #s(literal -1/8 binary64) (*.f64 d d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) |
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(sqrt.f64 (/.f64 l d)) |
(sqrt (/ l d)) |
(sqrt.f64 (/.f64 l d)) |
(sqrt (/ l d)) |
(sqrt.f64 (/.f64 l d)) |
(sqrt (/ l d)) |
(sqrt.f64 (/.f64 l d)) |
(sqrt (/ l d)) |
(sqrt.f64 (/.f64 l d)) |
(sqrt (/ l d)) |
(sqrt.f64 (/.f64 l d)) |
(sqrt (/ l d)) |
(sqrt.f64 (/.f64 l d)) |
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 l d)) |
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 l d)) |
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 l d)) |
(* -1 (* (sqrt (/ l d)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 l d)) |
(sqrt (/ l d)) |
(sqrt.f64 (/.f64 l d)) |
(sqrt (/ l d)) |
(sqrt.f64 (/.f64 l d)) |
(sqrt (/ l d)) |
(sqrt.f64 (/.f64 l d)) |
(sqrt (/ l d)) |
(sqrt.f64 (/.f64 l d)) |
(sqrt (/ l d)) |
(sqrt.f64 (/.f64 l d)) |
(sqrt (/ l d)) |
(sqrt.f64 (/.f64 l d)) |
(sqrt (/ l d)) |
(sqrt.f64 (/.f64 l d)) |
(sqrt (/ l d)) |
(sqrt.f64 (/.f64 l d)) |
(* (sqrt (/ l d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 l d))) |
(* (sqrt (/ l d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 l d))) |
(* (sqrt (/ l d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 l d))) |
(* (sqrt (/ l d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 l d))) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 binary64)) |
(* 4 (* (pow d 2) l)) |
(*.f64 (*.f64 d (*.f64 d l)) #s(literal 4 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)) |
(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 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 h d)) |
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 h d)) |
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 h d)) |
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) |
(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 (/ 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 (/ h d)) |
(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))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
| 1× | batch-egg-rewrite |
| 4 694× | lower-*.f32 |
| 4 656× | lower-*.f64 |
| 3 224× | lower-/.f32 |
| 3 192× | lower-/.f64 |
| 3 092× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 368 |
| 0 | 118 | 350 |
| 1 | 425 | 322 |
| 2 | 3857 | 312 |
| 0 | 8086 | 309 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 d (sqrt.f64 (*.f64 h l))) |
(sqrt.f64 (*.f64 h l)) |
(*.f64 h l) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) |
(/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) |
(fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) |
(sqrt.f64 (/.f64 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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(sqrt.f64 (/.f64 l d)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(sqrt.f64 (/.f64 h d)) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 h d))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 d h) (/.f64 d h))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 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 (neg.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64)))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 #s(literal 1 binary64) (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) (neg.f64 (sqrt.f64 (/.f64 h d)))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))) |
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 (neg.f64 h) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) 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 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 d))) |
(*.f64 (pow.f64 (*.f64 d #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (log.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (neg.f64 (log.f64 h)))) |
(neg.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) h))) |
(neg.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 h (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)) (*.f64 M D))) |
(/.f64 (*.f64 M D) (*.f64 (/.f64 d h) #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (/.f64 d h)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))))) |
(/.f64 (neg.f64 (*.f64 M D)) (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 M D)) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) h)) |
(/.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 d h)) |
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 (/.f64 d h) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) h) (*.f64 d #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) h) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) h) d) |
(/.f64 (/.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) h)) (*.f64 d #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)) (*.f64 M D)) #s(literal -1 binary64)) |
(*.f64 h (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64)))) |
(*.f64 M (/.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 M (*.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) h)) |
(*.f64 M (/.f64 D (*.f64 (/.f64 d h) #s(literal 2 binary64)))) |
(*.f64 D (/.f64 M (*.f64 (/.f64 d h) #s(literal 2 binary64)))) |
(*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)) |
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) h) |
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) h))) |
(*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) h)) |
(*.f64 (/.f64 M d) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h)) |
(*.f64 (/.f64 M (/.f64 #s(literal 1 binary64) h)) (/.f64 D (*.f64 d #s(literal 2 binary64)))) |
(*.f64 (/.f64 D (/.f64 #s(literal 1 binary64) h)) (/.f64 M (*.f64 d #s(literal 2 binary64)))) |
(*.f64 (/.f64 M #s(literal 1 binary64)) (/.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (/.f64 (*.f64 M D) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (/.f64 (/.f64 M d) #s(literal 1 binary64)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 h)) |
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 M D)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) (/.f64 #s(literal 1/2 binary64) d)) #s(literal -1 binary64))) |
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(fma.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 l)) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)) (/.f64 d (sqrt.f64 (*.f64 h l))))) |
(fma.f64 (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 l)) (sqrt.f64 d) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)) (/.f64 d (sqrt.f64 (*.f64 h l))))) |
(fma.f64 (pow.f64 (/.f64 (/.f64 d h) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d l)) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)) (/.f64 d (sqrt.f64 (*.f64 h l))))) |
(fma.f64 (pow.f64 (/.f64 (/.f64 d h) l) #s(literal 1/2 binary64)) (sqrt.f64 d) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)) (/.f64 d (sqrt.f64 (*.f64 h l))))) |
(fma.f64 (pow.f64 (/.f64 (/.f64 d h) (neg.f64 l)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 d)) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)) (/.f64 d (sqrt.f64 (*.f64 h l))))) |
(fma.f64 (pow.f64 (/.f64 (sqrt.f64 (/.f64 l d)) (sqrt.f64 d)) #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (*.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)) (/.f64 d (sqrt.f64 (*.f64 h l))))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h) #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h) (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))) (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))) (sqrt.f64 h)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h) #s(literal 3 binary64))) (/.f64 d (sqrt.f64 (*.f64 h l)))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h) (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) (/.f64 d (sqrt.f64 (*.f64 h l)))) (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(exp.f64 (*.f64 (log.f64 (/.f64 l d)) #s(literal 1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d l))))) |
(sqrt.f64 (/.f64 l d)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d l))) |
(/.f64 (sqrt.f64 l) (sqrt.f64 d)) |
(/.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (sqrt.f64 l)) (neg.f64 (sqrt.f64 d))) |
(pow.f64 (/.f64 l d) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 l d)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 d l) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (/.f64 d l) (/.f64 d l)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 l d) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 l d) (/.f64 l d)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 l d))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 l) (/.f64 #s(literal 1 binary64) (sqrt.f64 d))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 l)) |
(*.f64 (sqrt.f64 (neg.f64 l)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #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 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 l d))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 l))) |
(*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64)))) |
(*.f64 l (*.f64 d (*.f64 d #s(literal 4 binary64)))) |
(*.f64 (*.f64 d d) (*.f64 #s(literal 4 binary64) l)) |
(*.f64 #s(literal 4 binary64) (*.f64 l (*.f64 d d))) |
(*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l) |
(*.f64 (*.f64 l (*.f64 d d)) #s(literal 4 binary64)) |
(*.f64 (*.f64 l d) (*.f64 d #s(literal 4 binary64))) |
(*.f64 (*.f64 l #s(literal 4 binary64)) (*.f64 d d)) |
(exp.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))) |
(/.f64 (sqrt.f64 h) (sqrt.f64 d)) |
(/.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 d))) |
(/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))) |
(pow.f64 (/.f64 d h) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 h d) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 d h) #s(literal 1/4 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 h d) (/.f64 h d)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 h d))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 h) (/.f64 #s(literal 1 binary64) (sqrt.f64 d))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 d)) (sqrt.f64 h)) |
(*.f64 (pow.f64 (/.f64 d h) #s(literal -1/4 binary64)) (pow.f64 (/.f64 d h) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 h d))) |
(*.f64 (sqrt.f64 (neg.f64 h)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 h))) |
Compiled 71 554 to 3 789 computations (94.7% saved)
68 alts after pruning (65 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 295 | 30 | 2 325 |
| Fresh | 21 | 35 | 56 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 319 | 68 | 2 387 |
| Status | Accuracy | Program |
|---|---|---|
| 22.7% | (fma.f64 (/.f64 (*.f64 d (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 h l)))) | |
| 28.0% | (fma.f64 (*.f64 (/.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) d) (/.f64 (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) | |
| 25.3% | (fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) | |
| 23.5% | (fma.f64 #s(approx (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (/.f64 #s(literal -1/8 binary64) d))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) | |
| 33.3% | (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 48.1% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) | |
| 29.7% | (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l))) | |
| 55.6% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 59.7% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (/.f64 h (*.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 59.4% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) #s(approx (/ (/ (* h -1/2) l) (* d 4)) (*.f64 h (/.f64 #s(literal -1/8 binary64) (*.f64 d l)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 64.4% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 66.3% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 64.0% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 49.9% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d))) | |
| 19.7% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d))) | |
| ▶ | 8.9% | (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
| 32.5% | (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) | |
| 29.5% | (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) | |
| 32.7% | (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) | |
| 53.4% | (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D D)) (*.f64 h (*.f64 #s(literal -1/2 binary64) M))) (*.f64 d l)) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 56.0% | (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 39.3% | (*.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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) | |
| 66.4% | (*.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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) h) d)))) | |
| 39.1% | (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) | |
| 62.2% | (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 d l)) (*.f64 (*.f64 M D) (neg.f64 (*.f64 M D)))) (*.f64 d #s(literal -4 binary64)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 53.4% | (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 l d) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 29.3% | (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) | |
| ▶ | 27.8% | (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
| 49.1% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) | |
| ▶ | 69.5% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
| 49.0% | (*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 25.4% | (*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 10.2% | (*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l))) | |
| 10.6% | (*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l))) | |
| 37.8% | (*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 17.6% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l))) | |
| 17.3% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)) | |
| 15.9% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) | |
| 26.0% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) | |
| 15.6% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) | |
| ▶ | 19.1% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) |
| 32.8% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))))) | |
| 15.6% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) | |
| 21.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) | |
| 24.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) | |
| 21.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 l d)))) | |
| 18.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) | |
| 13.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) | |
| ✓ | 37.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
| 8.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) | |
| 17.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) | |
| 28.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) | |
| 15.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) | |
| 18.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) | |
| 25.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) | |
| ✓ | 28.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
| 27.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal 1/2 binary64))))) | |
| 28.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) | |
| 28.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) | |
| 15.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) | |
| 25.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) | |
| 3.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) | |
| 28.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) | |
| 28.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) | |
| 28.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) | |
| ✓ | 28.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
| 27.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64))))) | |
| ▶ | 24.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
Compiled 3 757 to 2 400 computations (36.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) |
| ✓ | cost-diff | 320 | (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) |
| ✓ | cost-diff | 0 | (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)) |
| ✓ | cost-diff | 0 | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 d l)) |
| ✓ | cost-diff | 0 | (neg.f64 (sqrt.f64 (/.f64 d l))) |
| ✓ | cost-diff | 0 | #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
| ✓ | cost-diff | 0 | (*.f64 d d) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 d d) (*.f64 h l)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) |
| ✓ | cost-diff | 0 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) |
| ✓ | cost-diff | 320 | (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) |
| ✓ | cost-diff | 1088 | (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) |
| 6 682× | lower-*.f32 |
| 6 634× | lower-*.f64 |
| 4 100× | lower-/.f32 |
| 4 070× | lower-/.f64 |
| 1 206× | distribute-rgt-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 703 |
| 0 | 160 | 689 |
| 1 | 342 | 657 |
| 2 | 1154 | 645 |
| 3 | 4444 | 645 |
| 4 | 6399 | 645 |
| 0 | 8099 | 636 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) |
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) |
(*.f64 M (*.f64 D #s(literal 1/2 binary64))) |
M |
(*.f64 D #s(literal 1/2 binary64)) |
D |
#s(literal 1/2 binary64) |
(*.f64 d #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) |
(*.f64 M D) |
(/.f64 #s(literal 1 binary64) h) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(*.f64 d d) |
d |
(*.f64 h l) |
h |
l |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) |
(neg.f64 (sqrt.f64 (/.f64 d l))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
d |
l |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h d) |
h |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) |
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)) |
(fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) |
d |
(sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) |
(/.f64 (*.f64 l (*.f64 l l)) h) |
(*.f64 l (*.f64 l l)) |
l |
(*.f64 l l) |
h |
(*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d))) |
(sqrt.f64 (*.f64 h l)) |
(*.f64 h l) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)) |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d) |
(*.f64 (*.f64 (*.f64 D D) M) M) |
(*.f64 (*.f64 D D) M) |
(*.f64 D D) |
D |
M |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) |
(*.f64 h #s(literal -1/2 binary64)) |
h |
#s(literal -1/2 binary64) |
(*.f64 M (*.f64 D (*.f64 M D))) |
M |
(*.f64 D (*.f64 M D)) |
D |
(*.f64 M D) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
l |
(*.f64 (*.f64 d d) #s(literal 4 binary64)) |
(*.f64 d d) |
d |
#s(literal 4 binary64) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) |
(sqrt.f64 (neg.f64 d)) |
(neg.f64 d) |
(sqrt.f64 (neg.f64 l)) |
(neg.f64 l) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) |
(fma.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) (/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal -2 binary64))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) (*.f64 (*.f64 M D) h)) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) |
(/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) (*.f64 d l)) |
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d) |
(*.f64 M (*.f64 D #s(literal 1/2 binary64))) |
M |
(*.f64 D #s(literal 1/2 binary64)) |
D |
#s(literal 1/2 binary64) |
(*.f64 d #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) |
(*.f64 M D) |
(/.f64 #s(literal 1 binary64) h) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l))))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) |
(sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l)))) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(*.f64 d (/.f64 d (*.f64 h l))) |
(*.f64 d d) |
d |
(*.f64 h l) |
h |
l |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) |
(neg.f64 (sqrt.f64 (/.f64 d l))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
d |
l |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h d) |
h |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d)))) (*.f64 l l))) |
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)) |
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d)))) (*.f64 l l)) |
(fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) |
(fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d)))) |
d |
(sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) |
(/.f64 (*.f64 l (*.f64 l l)) h) |
(*.f64 l (*.f64 l l)) |
l |
(*.f64 l l) |
h |
(*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d))) |
(*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d))) |
(sqrt.f64 (*.f64 h l)) |
(*.f64 h l) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d)) |
#s(literal -1/8 binary64) |
(/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d) |
(/.f64 (*.f64 M (*.f64 M (*.f64 D D))) d) |
(*.f64 (*.f64 (*.f64 D D) M) M) |
(*.f64 M (*.f64 M (*.f64 D D))) |
(*.f64 (*.f64 D D) M) |
(*.f64 M (*.f64 D D)) |
(*.f64 D D) |
D |
M |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (fma.f64 (/.f64 h (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 D D)))) #s(literal 1 binary64)) (sqrt.f64 (neg.f64 d)))) (sqrt.f64 (neg.f64 l))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 h (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 D D)))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) |
(fma.f64 (/.f64 h (*.f64 d (*.f64 d l))) (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 D D)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
(/.f64 (*.f64 h (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 M (*.f64 D D))))) (*.f64 d (*.f64 d l))) |
(*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) |
(*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 M (*.f64 D D))))) |
(*.f64 h #s(literal -1/2 binary64)) |
h |
#s(literal -1/2 binary64) |
(*.f64 M (*.f64 D (*.f64 M D))) |
(*.f64 M (*.f64 M (*.f64 D D))) |
M |
(*.f64 D (*.f64 M D)) |
(*.f64 M (*.f64 D D)) |
D |
(*.f64 M D) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64)))) |
l |
(*.f64 (*.f64 d d) #s(literal 4 binary64)) |
(*.f64 d (*.f64 d #s(literal 4 binary64))) |
(*.f64 d d) |
d |
#s(literal 4 binary64) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) |
(sqrt.f64 (neg.f64 d)) |
(neg.f64 d) |
(sqrt.f64 (neg.f64 l)) |
(neg.f64 l) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 95.9% | (*.f64 M (*.f64 D (*.f64 M D))) |
| ✓ | accuracy | 92.9% | (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
| ✓ | accuracy | 89.7% | (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
| ✓ | accuracy | 88.0% | (sqrt.f64 (/.f64 d h)) |
| ✓ | accuracy | 86.8% | (sqrt.f64 (*.f64 h l)) |
| ✓ | accuracy | 84.2% | (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) |
| ✓ | accuracy | 80.2% | (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)) |
| ✓ | accuracy | 51.2% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) |
| ✓ | accuracy | 98.0% | (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
| ✓ | accuracy | 87.9% | (sqrt.f64 (/.f64 h d)) |
| ✓ | accuracy | 86.4% | (sqrt.f64 (/.f64 d l)) |
| ✓ | accuracy | 51.0% | #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) |
| ✓ | accuracy | 100.0% | (*.f64 d d) |
| ✓ | accuracy | 90.1% | (/.f64 (*.f64 d d) (*.f64 h l)) |
| ✓ | accuracy | 83.8% | (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) |
| ✓ | accuracy | 74.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
| ✓ | accuracy | 96.2% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
| ✓ | accuracy | 94.8% | (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) |
| ✓ | accuracy | 88.0% | (sqrt.f64 (/.f64 d h)) |
| ✓ | accuracy | 86.4% | (sqrt.f64 (/.f64 d l)) |
| 126.0ms | 127× | 0 | invalid |
| 92.0ms | 129× | 0 | valid |
Compiled 661 to 92 computations (86.1% saved)
ival-mult: 99.0ms (54.2% of total)ival-div: 46.0ms (25.2% of total)ival-sqrt: 14.0ms (7.7% of total)ival-pow: 11.0ms (6% of total)ival-add: 4.0ms (2.2% of total)ival-neg: 3.0ms (1.6% of total)ival-sub: 2.0ms (1.1% of total)ival-pow2: 2.0ms (1.1% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (patch (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) (patch (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (patch #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (patch (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 d d) (*.f64 h l)) (patch (/.f64 (*.f64 d d) (*.f64 h l)) #<representation binary64>) () ()) |
#s(alt (*.f64 d d) (patch (*.f64 d d) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) (patch (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (patch #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (sqrt.f64 (/.f64 d l))) (patch (neg.f64 (sqrt.f64 (/.f64 d l))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 d l)) (patch (sqrt.f64 (/.f64 d l)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) (patch #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)) (patch (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)) #<representation binary64>) () ()) |
#s(alt (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (patch (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (patch (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (patch (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (patch (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 d h)) (patch (sqrt.f64 (/.f64 d h)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (patch (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 h d)) (patch (sqrt.f64 (/.f64 h d)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ()) |
#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf M) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf D) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 d) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf d) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor 0 h) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf h) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf h) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ (* D (* M h)) d)) (taylor inf h) (#s(alt (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) (patch (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) #<representation binary64>) () ())) ()) |
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#s(alt (sqrt (* h l)) (taylor 0 l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (* h l)) (taylor 0 l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (* h l)) (taylor 0 l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (* h l)) (taylor inf l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (* h l)) (taylor inf l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (* h l)) (taylor inf l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (sqrt (* h l)) (taylor inf l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) (taylor -inf l) (#s(alt (sqrt.f64 (*.f64 h l)) (patch (sqrt.f64 (*.f64 h l)) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf l) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor 0 d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 4 (* (pow d 2) l)) (taylor -inf d) (#s(alt (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) (patch (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor inf M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor inf M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor inf M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor inf M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf M) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor 0 D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor inf D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor inf D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor inf D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor inf D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow D 2) (pow M 2)) (taylor -inf D) (#s(alt (*.f64 M (*.f64 D (*.f64 M D))) (patch (*.f64 M (*.f64 D (*.f64 M D))) #<representation binary64>) () ())) ()) |
282 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | l | @ | inf | (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) |
| 1.0ms | d | @ | 0 | (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) |
| 1.0ms | D | @ | 0 | (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) |
| 1.0ms | h | @ | 0 | (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) |
| 1.0ms | M | @ | 0 | (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) |
| 1× | egg-herbie |
| 8 988× | lower-*.f64 |
| 8 988× | lower-*.f32 |
| 5 492× | lower-fma.f64 |
| 5 492× | lower-fma.f32 |
| 3 670× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 390 | 20009 |
| 1 | 1162 | 19313 |
| 2 | 4206 | 19180 |
| 0 | 8697 | 18724 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/2 (/ (* D (* M h)) d)) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) (* d l))) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* D M) d)) |
(* 1/4 (/ (* 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))) |
(* (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))) |
(* (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 |
(+ 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))) |
(* (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))) |
(* (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))) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
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1 |
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(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* 4 (* (pow d 2) l)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
(* (pow D 2) (pow M 2)) |
| Outputs |
|---|
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 D (*.f64 (*.f64 M (/.f64 h d)) #s(literal 1/2 binary64))) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) (* d l))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) (*.f64 d l)) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
(* 1/4 (/ (* D M) d)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 D M)) d) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #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 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #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 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
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(* (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 l)) |
(sqrt.f64 (*.f64 h l)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 h l)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 h l)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 h l)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 h l)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 h l)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 h l)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 h l)) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 h l)) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 h l)) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 h l)) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 h l)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 h l)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 h l)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 h l)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 h l)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 h l)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 h l)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 h l)) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 h l)) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 h l)) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 h l)) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 h l)) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 h l)) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* 4 (* (pow d 2) l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(* (pow D 2) (pow M 2)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
| 1× | batch-egg-rewrite |
| 5 614× | lower-*.f32 |
| 5 566× | lower-*.f64 |
| 3 134× | lower-/.f32 |
| 3 104× | lower-/.f64 |
| 2 114× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 477 |
| 0 | 160 | 453 |
| 1 | 595 | 396 |
| 2 | 5310 | 390 |
| 0 | 8484 | 381 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) |
(/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) |
(/.f64 (*.f64 d d) (*.f64 h l)) |
(*.f64 d d) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) |
(neg.f64 (sqrt.f64 (/.f64 d l))) |
(sqrt.f64 (/.f64 d l)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) |
(/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l)) |
(fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) |
(sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) |
(/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) |
(sqrt.f64 (/.f64 d h)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(sqrt.f64 (/.f64 h d)) |
(sqrt.f64 (*.f64 h l)) |
(*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))) |
(*.f64 M (*.f64 D (*.f64 M D))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (log.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) (neg.f64 (log.f64 h)))) |
(neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 #s(literal -1 binary64) h))) |
(neg.f64 (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 (*.f64 M D) (*.f64 (/.f64 d h) #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 #s(literal 1 binary64) h)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)) (*.f64 M D))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)) #s(literal 1 binary64))) |
(/.f64 h (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 d h)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)))) |
(/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) h)) |
(/.f64 (neg.f64 (*.f64 M D)) (neg.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 M D)) (*.f64 (/.f64 #s(literal 1 binary64) h) (*.f64 d #s(literal -2 binary64)))) |
(/.f64 (/.f64 (*.f64 M D) d) (*.f64 (/.f64 #s(literal 1 binary64) h) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 d h)) |
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 (/.f64 d h) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) h))) |
(/.f64 (*.f64 (*.f64 M D) h) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (*.f64 M D)) h) (*.f64 d #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) |
(/.f64 (*.f64 (/.f64 (*.f64 M D) d) h) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 M D) (/.f64 #s(literal 1 binary64) h)) (*.f64 d #s(literal 2 binary64))) |
(pow.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 M D)) (/.f64 #s(literal 1 binary64) h)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 d h) #s(literal 2 binary64)) (*.f64 M D)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 M (/.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 M (*.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) h)) |
(*.f64 M (/.f64 D (*.f64 (/.f64 d h) #s(literal 2 binary64)))) |
(*.f64 D (/.f64 M (*.f64 (/.f64 d h) #s(literal 2 binary64)))) |
(*.f64 (*.f64 M D) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (*.f64 M D) (*.f64 (/.f64 #s(literal 1/2 binary64) d) h)) |
(*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)) |
(*.f64 h (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) |
(*.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) h))) |
(*.f64 (/.f64 M d) (*.f64 (*.f64 D #s(literal 1/2 binary64)) h)) |
(*.f64 (/.f64 M d) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h)) |
(*.f64 (/.f64 M (/.f64 #s(literal 1 binary64) h)) (/.f64 D (*.f64 d #s(literal 2 binary64)))) |
(*.f64 (/.f64 D (/.f64 #s(literal 1 binary64) h)) (/.f64 M (*.f64 d #s(literal 2 binary64)))) |
(*.f64 (/.f64 M #s(literal 1 binary64)) (/.f64 (/.f64 D (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (/.f64 (*.f64 M D) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) d) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (/.f64 (/.f64 M d) #s(literal 1 binary64)) (/.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (/.f64 (*.f64 M #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 D d) (/.f64 #s(literal 1 binary64) h))) |
(*.f64 (/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) #s(literal -1 binary64)) (neg.f64 h)) |
(exp.f64 (*.f64 (log.f64 (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l))) |
(/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 #s(literal 2 binary64) l)) |
(/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 l #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)) l)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) |
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d) l) |
(/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d) (neg.f64 (neg.f64 l))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (neg.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l))) |
(/.f64 (*.f64 (neg.f64 M) (/.f64 (*.f64 D #s(literal 1/4 binary64)) d)) (neg.f64 l)) |
(/.f64 (/.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) |
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 d #s(literal -2 binary64)) l)) |
(/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/4 binary64))) d) #s(literal 1 binary64)) l) |
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) l)) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) l)) (*.f64 d #s(literal -2 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 #s(literal 1 binary64) l)) #s(literal 2 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) l) (*.f64 d #s(literal 2 binary64))) |
(/.f64 (/.f64 (*.f64 (neg.f64 M) (/.f64 (*.f64 D #s(literal 1/4 binary64)) d)) #s(literal -1 binary64)) l) |
(pow.f64 (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64)) l) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 l (*.f64 (/.f64 d (*.f64 M D)) #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (/.f64 d l) #s(literal 1/4 binary64)) (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (neg.f64 d)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) (pow.f64 (/.f64 d l) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) (sqrt.f64 h)) (sqrt.f64 d)) |
(exp.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64))) |
(exp.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 d h))))) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))) |
(/.f64 (sqrt.f64 h) (sqrt.f64 d)) |
(/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 d))) |
(pow.f64 (/.f64 h d) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 d h) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (/.f64 d h) (/.f64 d h)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 h d) (/.f64 h d)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 h d))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 h) (/.f64 #s(literal 1 binary64) (sqrt.f64 d))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal 1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 h l)) |
(pow.f64 (*.f64 h l) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 h l) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 h l) (*.f64 h l)) #s(literal 1/4 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 h l))) #s(literal 1/2 binary64)) |
(*.f64 (sqrt.f64 h) (sqrt.f64 l)) |
(*.f64 (sqrt.f64 l) (sqrt.f64 h)) |
(*.f64 (pow.f64 (*.f64 h l) #s(literal 1/4 binary64)) (pow.f64 (*.f64 h l) #s(literal 1/4 binary64))) |
(*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64)))) |
(*.f64 l (*.f64 d (*.f64 d #s(literal 4 binary64)))) |
(*.f64 (*.f64 d d) (*.f64 #s(literal 4 binary64) l)) |
(*.f64 #s(literal 4 binary64) (*.f64 l (*.f64 d d))) |
(*.f64 (*.f64 d (*.f64 d #s(literal 4 binary64))) l) |
(*.f64 (*.f64 l (*.f64 d d)) #s(literal 4 binary64)) |
(*.f64 (*.f64 l d) (*.f64 d #s(literal 4 binary64))) |
(*.f64 (*.f64 l #s(literal 4 binary64)) (*.f64 d d)) |
(exp.f64 (*.f64 (log.f64 (*.f64 M D)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 M D) #s(literal 2 binary64)) |
(*.f64 M (*.f64 D (*.f64 M D))) |
(*.f64 D (*.f64 M (*.f64 M D))) |
(*.f64 D (*.f64 (*.f64 M D) M)) |
(*.f64 D (*.f64 D (*.f64 M M))) |
(*.f64 (*.f64 M D) (*.f64 M D)) |
(*.f64 (*.f64 D D) (*.f64 M M)) |
(*.f64 (*.f64 D (*.f64 M D)) M) |
(*.f64 (*.f64 M M) (*.f64 D D)) |
(*.f64 (*.f64 M (*.f64 M D)) D) |
(*.f64 (*.f64 (*.f64 M D) M) D) |
Compiled 76 740 to 3 882 computations (94.9% saved)
84 alts after pruning (80 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 269 | 42 | 2 311 |
| Fresh | 22 | 38 | 60 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 2 295 | 84 | 2 379 |
| Status | Accuracy | Program |
|---|---|---|
| 22.7% | (fma.f64 (/.f64 (*.f64 d (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 h l)))) | |
| 25.3% | (fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) | |
| 23.5% | (fma.f64 #s(approx (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (/.f64 #s(literal -1/8 binary64) d))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) | |
| 33.5% | (/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l))) | |
| 55.6% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 59.7% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (/.f64 h (*.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 66.3% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 64.0% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) | |
| 49.9% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d))) | |
| 19.7% | (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d))) | |
| 2.5% | (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) | |
| 8.2% | (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) | |
| 2.5% | (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d))))) (sqrt.f64 (/.f64 h d))) | |
| 8.9% | (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) | |
| ✓ | 8.9% | (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
| 8.9% | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) | |
| 29.4% | (*.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) | |
| 32.6% | (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) | |
| 4.0% | (*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) | |
| 32.7% | (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) | |
| 53.4% | (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D D)) (*.f64 h (*.f64 #s(literal -1/2 binary64) M))) (*.f64 d l)) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 32.7% | (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) | |
| 56.0% | (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 32.8% | (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (*.f64 h #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) | |
| 33.5% | (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64)))) (*.f64 D (*.f64 M D))) (/.f64 M d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) | |
| 54.6% | (*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 34.6% | (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) | |
| 61.2% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64))) | |
| 48.9% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) #s(literal 1 binary64))) | |
| 65.0% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) | |
| 58.6% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 D (*.f64 M D)) (*.f64 (/.f64 M d) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) | |
| 69.5% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)))) | |
| 65.4% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))))) | |
| 43.7% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) | |
| 19.7% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l))))) | |
| 49.0% | (*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 25.5% | (*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) | |
| 8.9% | (*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) | |
| 8.9% | (*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) | |
| 10.2% | (*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l))) | |
| 10.6% | (*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l))) | |
| 11.9% | (*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) | |
| 37.8% | (*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 17.3% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)) | |
| 15.9% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) | |
| 26.0% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) | |
| 28.1% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) d) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 h h))))))))) | |
| 21.0% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) | |
| 23.9% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) d) (sqrt.f64 h)) (sqrt.f64 l) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) | |
| 20.1% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) | |
| 20.6% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l))) | |
| 21.1% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) l) l)) | |
| 12.7% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l))) | |
| 8.7% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) | |
| 10.5% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) | |
| 28.4% | #s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))))) | |
| 21.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) | |
| 24.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) | |
| 21.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 l d)))) | |
| 18.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) | |
| 13.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) | |
| 15.0% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) | |
| 8.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) | |
| 28.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) | |
| 15.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) | |
| 18.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) | |
| 25.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) | |
| ✓ | 28.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
| 27.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal 1/2 binary64))))) | |
| 28.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) | |
| 28.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) | |
| 15.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) | |
| 3.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) | |
| 28.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) | |
| 28.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) | |
| 28.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) | |
| ✓ | 28.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
| 27.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64))))) | |
| 24.8% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) | |
| 28.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) | |
| ✓ | 24.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
| 31.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) | |
| 29.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) | |
| 32.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
Compiled 6 599 to 2 124 computations (67.8% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
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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 M (*.f64 D (*.f64 M D))) (*.f64 d #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 #s(literal 1/2 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 #s(literal 1 binary64) (/.f64 l (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) h)))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (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))) (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 d #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 h l))) (*.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M 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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (/.f64 d M)) (/.f64 (sqrt.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64)))) (/.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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
7 calls:
| 97.0ms | M |
| 60.0ms | D |
| 58.0ms | (*.f64 M D) |
| 54.0ms | h |
| 52.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.9% | 3 | d |
| 79.3% | 3 | h |
| 77.7% | 2 | l |
| 69.5% | 1 | M |
| 69.5% | 1 | D |
| 74.6% | 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)))) |
| 69.5% | 1 | (*.f64 M D) |
Compiled 78 to 53 computations (32.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l))) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l))))) |
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(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64)))) (*.f64 D (*.f64 M D))) (/.f64 M d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(fma.f64 (*.f64 (/.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) d) (/.f64 (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(fma.f64 (*.f64 h (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (exp.f64 (*.f64 (log.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))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) 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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 l 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 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(*.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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M)))) (*.f64 d (*.f64 d l)))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (* M D) (* 1/2 (/ h l))) (/ (* (* d d) 4) (* M D))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d (*.f64 d l))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d 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))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) 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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h 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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
3 calls:
| 55.0ms | h |
| 44.0ms | d |
| 41.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.8% | 2 | l |
| 78.5% | 3 | h |
| 79.1% | 3 | d |
Compiled 18 to 15 computations (16.7% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
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(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (*.f64 h #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) d) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 h h))))))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (/.f64 h (*.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64)))) (*.f64 D (*.f64 M D))) (/.f64 M d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(fma.f64 (*.f64 (/.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) d) (/.f64 (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(fma.f64 (*.f64 h (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (exp.f64 (*.f64 (log.f64 (*.f64 h l)) #s(literal -1/2 binary64))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (exp.f64 (*.f64 (log.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))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) 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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 d)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 h) #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 l 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 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(*.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 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/.f64 (*.f64 (*.f64 D D) (*.f64 #s(literal 1/8 binary64) (*.f64 h (*.f64 M M)))) (*.f64 d (*.f64 d l)))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) #s(approx (/ (* (* M D) (* 1/2 (/ h l))) (/ (* (* d d) 4) (* M D))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 h (*.f64 M M)) (*.f64 d (*.f64 d l))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d 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))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) h)) l))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)))) |
3 calls:
| 46.0ms | h |
| 44.0ms | l |
| 43.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 2 | l |
| 77.3% | 3 | h |
| 77.9% | 3 | d |
Compiled 18 to 15 computations (16.7% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
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#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) l) l)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 D (*.f64 M D)) (*.f64 (/.f64 M d) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D D)) (*.f64 h (*.f64 #s(literal -1/2 binary64) M))) (*.f64 d l)) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) #s(approx (/ (/ (* h -1/2) l) (* d 4)) (*.f64 h (/.f64 #s(literal -1/8 binary64) (*.f64 d l)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 (/.f64 (*.f64 d (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 #s(approx (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (/.f64 #s(literal -1/8 binary64) d))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 M D) #s(literal 1/8 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (neg.f64 (/.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) d) (sqrt.f64 h)) (sqrt.f64 l) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 d l)) (*.f64 (*.f64 M D) (neg.f64 (*.f64 M D)))) (*.f64 d #s(literal -4 binary64)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (*.f64 h #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) d) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 h h))))))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (/.f64 h (*.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64)))) (*.f64 D (*.f64 M D))) (/.f64 M d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(fma.f64 (*.f64 (/.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) d) (/.f64 (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(fma.f64 (*.f64 h (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (fma.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
4 calls:
| 46.0ms | l |
| 43.0ms | d |
| 40.0ms | h |
| 39.0ms | (*.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 |
|---|---|---|
| 74.5% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 73.7% | 3 | l |
| 74.1% | 3 | h |
| 77.8% | 5 | d |
Compiled 58 to 37 computations (36.2% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
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(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
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#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 l d) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) #s(literal 1 binary64))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) l) l)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 D (*.f64 M D)) (*.f64 (/.f64 M d) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D D)) (*.f64 h (*.f64 #s(literal -1/2 binary64) M))) (*.f64 d l)) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) #s(approx (/ (/ (* h -1/2) l) (* d 4)) (*.f64 h (/.f64 #s(literal -1/8 binary64) (*.f64 d l)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 (/.f64 (*.f64 d (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 #s(approx (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (/.f64 #s(literal -1/8 binary64) d))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 M D) #s(literal 1/8 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (neg.f64 (/.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) d) (sqrt.f64 h)) (sqrt.f64 l) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 d l)) (*.f64 (*.f64 M D) (neg.f64 (*.f64 M D)))) (*.f64 d #s(literal -4 binary64)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (*.f64 h #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) d) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 h h))))))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (/.f64 h (*.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64)))) (*.f64 D (*.f64 M D))) (/.f64 M d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) l)) (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) #s(literal -1/2 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) h) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M #s(literal 1/2 binary64))) (/.f64 D d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (*.f64 M D)) (/.f64 #s(literal 1/2 binary64) d)) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) (/.f64 M d)) (*.f64 D #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (/.f64 (*.f64 (*.f64 M D) (*.f64 M (*.f64 D #s(literal 1/2 binary64)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(fma.f64 (*.f64 (/.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) d) (/.f64 (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (*.f64 d #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(fma.f64 (*.f64 h (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) l) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64)))) (*.f64 D (*.f64 M D))) (/.f64 M d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)))) |
4 calls:
| 204.0ms | l |
| 42.0ms | h |
| 40.0ms | d |
| 40.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 2 | l |
| 71.5% | 2 | h |
| 73.3% | 3 | d |
| 71.7% | 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 58 to 37 computations (36.2% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l))) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l))))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 l d) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) #s(literal 1 binary64))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) l) l)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 D (*.f64 M D)) (*.f64 (/.f64 M d) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D D)) (*.f64 h (*.f64 #s(literal -1/2 binary64) M))) (*.f64 d l)) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) #s(approx (/ (/ (* h -1/2) l) (* d 4)) (*.f64 h (/.f64 #s(literal -1/8 binary64) (*.f64 d l)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 (/.f64 (*.f64 d (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 #s(approx (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (/.f64 #s(literal -1/8 binary64) d))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 M D) #s(literal 1/8 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (neg.f64 (/.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) d) (sqrt.f64 h)) (sqrt.f64 l) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 d l)) (*.f64 (*.f64 M D) (neg.f64 (*.f64 M D)))) (*.f64 d #s(literal -4 binary64)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (*.f64 h #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) d) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 h h))))))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (/.f64 h (*.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
3 calls:
| 48.0ms | l |
| 36.0ms | d |
| 33.0ms | (*.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 |
|---|---|---|
| 71.7% | 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)))) |
| 71.3% | 2 | d |
| 69.5% | 1 | l |
Compiled 52 to 32 computations (38.5% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
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(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 D (*.f64 M D)) (*.f64 (/.f64 M d) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D D)) (*.f64 h (*.f64 #s(literal -1/2 binary64) M))) (*.f64 d l)) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) #s(approx (/ (/ (* h -1/2) l) (* d 4)) (*.f64 h (/.f64 #s(literal -1/8 binary64) (*.f64 d l)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 (/.f64 (*.f64 d (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 #s(approx (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (/.f64 #s(literal -1/8 binary64) d))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 M D) #s(literal 1/8 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (neg.f64 (/.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) d) (sqrt.f64 h)) (sqrt.f64 l) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 d l)) (*.f64 (*.f64 M D) (neg.f64 (*.f64 M D)))) (*.f64 d #s(literal -4 binary64)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (*.f64 h #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) d) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 h h))))))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (/.f64 h (*.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l))) (*.f64 M (*.f64 D (/.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (*.f64 d d))))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (*.f64 (/.f64 D d) h))))) |
| Outputs |
|---|
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
3 calls:
| 64.0ms | h |
| 50.0ms | (*.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)))) |
| 33.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.1% | 3 | d |
| 69.2% | 2 | h |
| 71.1% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 52 to 32 computations (38.5% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
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(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 d l)) (*.f64 (*.f64 M D) (neg.f64 (*.f64 M D)))) (*.f64 d #s(literal -4 binary64)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 (/.f64 #s(literal 1/4 binary64) d) (*.f64 (*.f64 M (*.f64 D D)) (/.f64 M d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 l d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (*.f64 h #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 h (*.f64 l l)) l))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) d) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 h (*.f64 h h))))))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 h (fma.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 (*.f64 h h) l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l (*.f64 (*.f64 l l) h)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) (*.f64 h #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 D (*.f64 M D)) d) (/.f64 M (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
7 calls:
| 68.0ms | h |
| 67.0ms | D |
| 65.0ms | l |
| 52.0ms | d |
| 49.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.2% | 2 | h |
| 71.3% | 4 | d |
| 67.2% | 2 | l |
| 67.1% | 2 | M |
| 67.0% | 2 | D |
| 67.2% | 2 | (*.f64 M D) |
| 71.2% | 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 78 to 53 computations (32.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) |
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(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 l)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 d)) (sqrt.f64 h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 h (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h (*.f64 l (*.f64 h h))))) (neg.f64 d))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) h) d) (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 2 binary64)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal -1/2 binary64)) (*.f64 (*.f64 d #s(literal 2 binary64)) l)) (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d)) h #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
2 calls:
| 85.0ms | d |
| 55.0ms | (*.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 |
|---|---|---|
| 71.2% | 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)))) |
| 71.1% | 4 | d |
Compiled 46 to 27 computations (41.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l))) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l))))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 l d) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) #s(literal 1 binary64))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) l) l)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 D (*.f64 M D)) (*.f64 (/.f64 M d) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D D)) (*.f64 h (*.f64 #s(literal -1/2 binary64) M))) (*.f64 d l)) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) #s(approx (/ (/ (* h -1/2) l) (* d 4)) (*.f64 h (/.f64 #s(literal -1/8 binary64) (*.f64 d l)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 (/.f64 (*.f64 d (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 #s(approx (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (/.f64 #s(literal -1/8 binary64) d))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 M D) #s(literal 1/8 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (neg.f64 (/.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) d) (sqrt.f64 h)) (sqrt.f64 l) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 d l)) (*.f64 (*.f64 M D) (neg.f64 (*.f64 M D)))) (*.f64 d #s(literal -4 binary64)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l))))))) h)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 h l)) (*.f64 (sqrt.f64 (/.f64 (*.f64 h (*.f64 h h)) (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) h)) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 d l)) (*.f64 (*.f64 M D) (neg.f64 (*.f64 M D)))) (*.f64 d #s(literal -4 binary64)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
6 calls:
| 68.0ms | d |
| 62.0ms | l |
| 58.0ms | h |
| 54.0ms | (*.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)))) |
| 34.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.2% | 1 | M |
| 65.0% | 2 | (*.f64 M D) |
| 67.2% | 4 | l |
| 62.2% | 1 | h |
| 66.5% | 3 | d |
| 70.2% | 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 72 to 48 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l))) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l))))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 l d) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) #s(literal 1 binary64))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) l) l)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 D (*.f64 M D)) (*.f64 (/.f64 M d) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D D)) (*.f64 h (*.f64 #s(literal -1/2 binary64) M))) (*.f64 d l)) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) #s(approx (/ (/ (* h -1/2) l) (* d 4)) (*.f64 h (/.f64 #s(literal -1/8 binary64) (*.f64 d l)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 (/.f64 (*.f64 d (*.f64 M (*.f64 D (*.f64 (*.f64 M D) #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 d d) #s(literal 4 binary64)))) (neg.f64 (/.f64 h l)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 h d))) |
(fma.f64 #s(approx (* (sqrt (/ (* d d) (* h l))) (/ (* (* M D) (* M (* D 1/2))) (* (* d d) 4))) (*.f64 (*.f64 (*.f64 D D) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) (/.f64 #s(literal -1/8 binary64) d))) (neg.f64 (/.f64 h l)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(fma.f64 (*.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 M D) #s(literal 1/8 binary64))) (*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (neg.f64 (/.f64 h l))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M D) (*.f64 d d)) (*.f64 (*.f64 (*.f64 M D) #s(literal 1/8 binary64)) (neg.f64 (/.f64 h l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M (*.f64 D (*.f64 M D)))) d) (sqrt.f64 h)) (sqrt.f64 l) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
| Outputs |
|---|
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) #s(approx (/ (/ (* h -1/2) l) (* d 4)) (*.f64 h (/.f64 #s(literal -1/8 binary64) (*.f64 d l)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
2 calls:
| 40.0ms | D |
| 26.0ms | (*.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 |
|---|---|---|
| 63.6% | 3 | D |
| 69.4% | 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 46 to 27 computations (41.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) |
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#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) |
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#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
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#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 l d) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) #s(literal 1 binary64))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) l) l)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 D (*.f64 M D)) (*.f64 (/.f64 M d) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D D)) (*.f64 h (*.f64 #s(literal -1/2 binary64) M))) (*.f64 d l)) (/.f64 #s(literal 1/4 binary64) d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M (/.f64 M (*.f64 d d)))))) l) l))) (sqrt.f64 (/.f64 h d))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (*.f64 D (*.f64 M D)) (*.f64 (/.f64 M d) (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
1 calls:
| 48.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.2% | 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 40 to 22 computations (45% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l))) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l))))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 l d) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 l (*.f64 (*.f64 d d) #s(literal -4 binary64)))) (*.f64 h (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 D (*.f64 M D))))) #s(literal 1 binary64))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) l) l)) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) |
6 calls:
| 52.0ms | d |
| 30.0ms | l |
| 24.0ms | M |
| 23.0ms | h |
| 23.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.8% | 2 | h |
| 56.5% | 2 | M |
| 69.1% | 6 | l |
| 64.9% | 4 | d |
| 59.2% | 2 | (*.f64 M D) |
| 66.3% | 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 72 to 48 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l))) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l))))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(approx (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D (*.f64 D (*.f64 h (*.f64 M M))))) (*.f64 d (*.f64 d l))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (*.f64 (*.f64 M (/.f64 M (*.f64 d d))) #s(literal 1/8 binary64))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64)))))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 (*.f64 l d) (*.f64 d #s(literal 4 binary64))))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l))) |
2 calls:
| 29.0ms | (*.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)))) |
| 23.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.1% | 6 | l |
| 65.8% | 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 46 to 27 computations (41.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l))) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l))))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 d (fma.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 M (/.f64 M (*.f64 d d)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (*.f64 d d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) d)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) (*.f64 l l))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
3 calls:
| 24.0ms | D |
| 22.0ms | l |
| 20.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 2 | D |
| 66.5% | 5 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 68.0% | 6 | l |
Compiled 52 to 32 computations (38.5% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l))) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l))))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 D (*.f64 M D))) (/.f64 M d) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l))) |
3 calls:
| 60.0ms | l |
| 25.0ms | (*.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)))) |
| 19.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.0% | 6 | l |
| 62.9% | 4 | d |
| 64.2% | 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 52 to 32 computations (38.5% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l))) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l))))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (fma.f64 (*.f64 D D) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 d (*.f64 d l))) #s(literal 1 binary64)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) #s(approx (/ (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (* l l)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 D (/.f64 (*.f64 D (*.f64 M M)) d)) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (neg.f64 (*.f64 M M)) (/.f64 (*.f64 D D) d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 M M) (sqrt.f64 (*.f64 h l))) (/.f64 (*.f64 D D) d)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 d (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l))))))) d)) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (*.f64 (sqrt.f64 (*.f64 h l)) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 D D) M) M) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 (fma.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) d (/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h l)) #s(literal -1/8 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) d)) (*.f64 l l))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (fma.f64 (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M)) (/.f64 #s(literal -1/8 binary64) (*.f64 d (*.f64 d l))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
2 calls:
| 21.0ms | l |
| 19.0ms | (*.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 |
|---|---|---|
| 64.2% | 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)))) |
| 67.2% | 6 | l |
Compiled 46 to 27 computations (41.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l))) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) #s(approx (- 1 (* (/ (/ (* M (* D 1/2)) (* d 2)) l) (/ (/ (* M D) (* d 2)) (/ 1 h)))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 M M))) (*.f64 D D)) (*.f64 d (*.f64 d l))))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 h (*.f64 (*.f64 (*.f64 D D) M) M))) (*.f64 d (*.f64 d l)))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
1 calls:
| 19.0ms | (*.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 |
|---|---|---|
| 64.2% | 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 40 to 22 computations (45% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) d) (sqrt.f64 (*.f64 h l))) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 h l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 M D)) (*.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) l) (*.f64 d #s(literal 2 binary64)))) h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (*.f64 M M) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) l)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 (*.f64 d d) #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (*.f64 (neg.f64 (*.f64 M M)) (*.f64 (*.f64 D D) (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))))) (/.f64 #s(literal -1/8 binary64) l))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) |
(/.f64 (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) d) (sqrt.f64 (*.f64 h l))) |
2 calls:
| 20.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 18.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.5% | 3 | l |
| 55.2% | 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 46 to 27 computations (41.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 M (*.f64 D D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) |
(*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
3 calls:
| 21.0ms | (*.f64 M D) |
| 16.0ms | d |
| 15.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.2% | 3 | (*.f64 M D) |
| 57.9% | 3 | d |
| 60.7% | 3 | l |
Compiled 20 to 16 computations (20% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 l) (sqrt.f64 d))))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l)))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
5 calls:
| 20.0ms | l |
| 15.0ms | h |
| 15.0ms | d |
| 15.0ms | M |
| 14.0ms | D |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.0% | 2 | D |
| 54.7% | 4 | d |
| 44.6% | 2 | M |
| 54.2% | 4 | h |
| 55.4% | 3 | l |
Compiled 30 to 25 computations (16.7% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 M M) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (/.f64 (*.f64 D D) d))))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (*.f64 D D) (*.f64 (sqrt.f64 (*.f64 h l)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) d)))) (*.f64 l l))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal -1/8 binary64) d)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
4 calls:
| 45.0ms | h |
| 13.0ms | d |
| 13.0ms | l |
| 13.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.1% | 4 | h |
| 52.2% | 4 | d |
| 52.7% | 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)))) |
| 52.2% | 3 | l |
Compiled 58 to 37 computations (36.2% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
3 calls:
| 16.0ms | l |
| 12.0ms | h |
| 12.0ms | (*.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 |
|---|---|---|
| 52.3% | 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)))) |
| 52.7% | 4 | h |
| 49.9% | 3 | l |
Compiled 52 to 32 computations (38.5% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
2 calls:
| 13.0ms | h |
| 11.0ms | (*.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 |
|---|---|---|
| 52.3% | 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)))) |
| 51.1% | 4 | h |
Compiled 46 to 27 computations (41.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 (*.f64 d d) l)) (sqrt.f64 h))) |
(*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l (/.f64 #s(literal 1 binary64) h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))))) |
(*.f64 (sqrt.f64 (/.f64 d h)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (/.f64 d l))) (sqrt.f64 (neg.f64 h)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 d (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 l d)))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) d) (/ (/ (* h -1/2) l) (* d 4))) 1)) (sqrt (/ h d))) (/.f64 #s(approx (+ (* d (sqrt (/ (* l (* l l)) h))) (* (sqrt (* h l)) (* -1/8 (/ (* (* (* D D) M) M) d)))) (*.f64 (sqrt.f64 (/.f64 (*.f64 l (*.f64 l l)) h)) (neg.f64 d))) (*.f64 l l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d h)) #s(approx (sqrt (/ l d)) (neg.f64 (sqrt.f64 (/.f64 l d)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 (/.f64 h d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 h) (/.f64 l d))))) |
(*.f64 (/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (sqrt.f64 h)) (sqrt.f64 d)) |
(*.f64 (neg.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l))))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 l d)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (/.f64 (sqrt.f64 d) (neg.f64 (sqrt.f64 l)))) (sqrt.f64 (/.f64 h d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))))) |
(/.f64 #s(approx (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (neg.f64 (sqrt.f64 (/.f64 d l)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
4 calls:
| 20.0ms | d |
| 12.0ms | l |
| 11.0ms | h |
| 11.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.1% | 3 | h |
| 46.5% | 2 | l |
| 46.9% | 2 | d |
| 47.9% | 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 58 to 37 computations (36.2% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) |
2 calls:
| 6.0ms | h |
| 6.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.9% | 2 | d |
| 48.4% | 3 | h |
Compiled 12 to 10 computations (16.7% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 (/.f64 d h) d) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (/.f64 (*.f64 d d) h) l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 h (/.f64 l d))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 d (sqrt.f64 h)) (sqrt.f64 l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
1 calls:
| 6.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.8% | 2 | d |
Compiled 6 to 5 computations (16.7% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (/ (* (sqrt (/ d l)) (+ (* (/ (* M (* D (* M D))) (* (* d d) 4)) (* -1/2 (/ h l))) 1)) (sqrt (/ h d))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
4 calls:
| 4.0ms | d |
| 3.0ms | h |
| 3.0ms | l |
| 3.0ms | (*.f64 M D) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.9% | 2 | (*.f64 M D) |
| 45.2% | 2 | l |
| 43.9% | 2 | h |
| 44.9% | 2 | d |
Compiled 26 to 21 computations (19.2% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (/.f64 (*.f64 d d) (*.f64 h l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 h l))) d)) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
6 calls:
| 4.0ms | D |
| 3.0ms | h |
| 3.0ms | d |
| 3.0ms | M |
| 3.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.4% | 2 | h |
| 31.2% | 2 | M |
| 34.9% | 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)))) |
| 38.0% | 2 | d |
| 32.1% | 2 | D |
| 37.8% | 2 | l |
Compiled 70 to 47 computations (32.9% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
7 calls:
| 4.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 1.0ms | D |
| 1.0ms | M |
| 1.0ms | d |
| 1.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.7% | 1 | M |
| 28.7% | 1 | D |
| 28.7% | 1 | (*.f64 M D) |
| 28.7% | 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)))) |
| 28.7% | 1 | h |
| 28.7% | 1 | l |
| 28.7% | 1 | d |
Compiled 78 to 53 computations (32.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | -1.994772854034981e-308 | 2.221207812245938e-307 |
| 44.0ms | -9.102065470003914e-150 | -2.3282005095199633e-152 |
| 41.0ms | 240× | 0 | valid |
| 29.0ms | 225× | 0 | invalid |
Compiled 1 253 to 835 computations (33.4% saved)
ival-div: 18.0ms (34.7% of total)ival-mult: 15.0ms (28.9% of total)ival-pow: 11.0ms (21.2% of total)ival-pow2: 5.0ms (9.6% of total)ival-sub: 2.0ms (3.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.994772854034981e-308 | 2.221207812245938e-307 |
| 1.0ms | -9.102065470003914e-150 | -2.3282005095199633e-152 |
Compiled 1 253 to 835 computations (33.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 57.0ms | -5.360577318949543e-297 | -8.179904689701524e-303 |
| 1.0ms | -9.102065470003914e-150 | -2.3282005095199633e-152 |
| 23.0ms | 144× | 0 | valid |
| 23.0ms | 172× | 0 | invalid |
Compiled 1 409 to 955 computations (32.2% saved)
ival-div: 13.0ms (37.2% of total)ival-mult: 10.0ms (28.6% of total)ival-pow: 7.0ms (20% of total)ival-pow2: 3.0ms (8.6% of total)ival-sub: 1.0ms (2.9% 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 | +inf | NaN |
Compiled 43 to 30 computations (30.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 58.0ms | -8.107393160660645e+22 | -275413537021197380.0 |
| 25.0ms | 144× | 0 | valid |
| 24.0ms | 136× | 0 | invalid |
Compiled 745 to 507 computations (31.9% saved)
ival-div: 16.0ms (41.5% of total)ival-mult: 9.0ms (23.4% of total)ival-pow: 9.0ms (23.4% of total)ival-pow2: 3.0ms (7.8% of total)ival-sub: 1.0ms (2.6% 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 | +inf | NaN |
Compiled 43 to 30 computations (30.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
Compiled 43 to 30 computations (30.2% saved)
| 3× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 75.0ms | 7.693504644831707e-77 | 7.429591287178022e-69 |
| 65.0ms | -5.360577318949543e-297 | -8.179904689701524e-303 |
| 56.0ms | -5.765950008934355e+207 | -1.6065133040210463e+199 |
| 102.0ms | 368× | 0 | valid |
| 68.0ms | 385× | 0 | invalid |
Compiled 1 684 to 1 152 computations (31.6% saved)
ival-mult: 66.0ms (46.3% of total)ival-div: 29.0ms (20.4% of total)ival-pow2: 26.0ms (18.2% of total)ival-pow: 16.0ms (11.2% of total)ival-sub: 3.0ms (2.1% of total)ival-true: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 5.229662031129137e-292 | 9.531388735434342e-252 |
| 0.0ms | -3.4170384062132024e-167 | 0.0 |
Compiled 43 to 30 computations (30.2% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 5.229662031129137e-292 | 9.531388735434342e-252 |
| 0.0ms | -3.4170384062132024e-167 | 0.0 |
Compiled 43 to 30 computations (30.2% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 5.229662031129137e-292 | 9.531388735434342e-252 |
| 0.0ms | -3.4170384062132024e-167 | 0.0 |
Compiled 43 to 30 computations (30.2% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 5.229662031129137e-292 | 9.531388735434342e-252 |
| 0.0ms | -3.4170384062132024e-167 | 0.0 |
Compiled 43 to 30 computations (30.2% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | +inf | NaN |
| 0.0ms | 5.229662031129137e-292 | 9.531388735434342e-252 |
| 0.0ms | -3.4170384062132024e-167 | 0.0 |
Compiled 43 to 30 computations (30.2% saved)
| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 2.2628636928971006e+48 | 1.4298906180284115e+53 |
| 63.0ms | 6.299311100083109e-145 | 9.217811823660441e-136 |
| 50.0ms | 2.4843679077087993e-187 | 3.202160881229671e-181 |
| 48.0ms | -5.503205010587298e-66 | -8.736614333073589e-70 |
| 32.0ms | -7.325955988697786e+51 | -3.6316794809097083e+51 |
| 106.0ms | 624× | 0 | valid |
| 89.0ms | 551× | 0 | invalid |
Compiled 2 412 to 1 569 computations (35% saved)
ival-mult: 45.0ms (29.9% of total)ival-pow: 45.0ms (29.9% of total)ival-div: 42.0ms (27.9% of total)ival-pow2: 12.0ms (8% of total)ival-sub: 5.0ms (3.3% of total)ival-true: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0639247698279717e+234 | +inf |
| 0.0ms | 5.229662031129137e-292 | 9.531388735434342e-252 |
| 0.0ms | -3.4170384062132024e-167 | 0.0 |
| 0.0ms | -2.656368227281948e+235 | -1.2271669011175177e+224 |
Compiled 43 to 30 computations (30.2% saved)
| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.2628636928971006e+48 | 1.4298906180284115e+53 |
| 1.0ms | 6.299311100083109e-145 | 9.217811823660441e-136 |
| 1.0ms | 2.4843679077087993e-187 | 3.202160881229671e-181 |
| 38.0ms | -5.503205010587298e-66 | -8.736614333073589e-70 |
| 1.0ms | -7.325955988697786e+51 | -3.6316794809097083e+51 |
| 23.0ms | 64× | 0 | valid |
| 10.0ms | 69× | 0 | invalid |
Compiled 2 395 to 1 535 computations (35.9% saved)
ival-mult: 18.0ms (63.2% of total)ival-div: 4.0ms (14% of total)ival-pow: 4.0ms (14% of total)ival-sub: 1.0ms (3.5% of total)ival-pow2: 1.0ms (3.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0639247698279717e+234 | +inf |
| 0.0ms | 5.229662031129137e-292 | 9.531388735434342e-252 |
| 0.0ms | -2.109637372398291e-151 | -3.4170384062132024e-167 |
Compiled 43 to 30 computations (30.2% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0639247698279717e+234 | +inf |
| 0.0ms | 5.229662031129137e-292 | 9.531388735434342e-252 |
| 0.0ms | -2.109637372398291e-151 | -3.4170384062132024e-167 |
Compiled 43 to 30 computations (30.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 92.0ms | -1.8341708093629708e-304 | 3.75214153359561e-305 |
| 86.0ms | -1.5301157802057518e-35 | -2.176971493063931e-40 |
| 78.0ms | 292× | 0 | invalid |
| 77.0ms | 288× | 0 | valid |
Compiled 1 015 to 678 computations (33.2% saved)
ival-pow: 55.0ms (40.9% of total)ival-mult: 50.0ms (37.2% of total)ival-div: 20.0ms (14.9% of total)ival-pow2: 6.0ms (4.5% of total)ival-sub: 3.0ms (2.2% of total)exact: 1.0ms (0.7% 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 |
|---|---|---|
| 1.0ms | -1.8341708093629708e-304 | 3.75214153359561e-305 |
| 1.0ms | -1.5301157802057518e-35 | -2.176971493063931e-40 |
Compiled 1 015 to 678 computations (33.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | -1.8341708093629708e-304 | 3.75214153359561e-305 |
| 1.0ms | -1.5301157802057518e-35 | -2.176971493063931e-40 |
Compiled 862 to 588 computations (31.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 59.0ms | -1.0766291777062663e-302 | -1.8341708093629708e-304 |
| 47.0ms | -1.5301157802057518e-35 | -2.176971493063931e-40 |
| 48.0ms | 188× | 0 | invalid |
| 43.0ms | 208× | 0 | valid |
Compiled 758 to 512 computations (32.5% saved)
ival-div: 35.0ms (45.2% of total)ival-pow: 23.0ms (29.7% of total)ival-mult: 12.0ms (15.5% of total)ival-pow2: 4.0ms (5.2% of total)ival-sub: 2.0ms (2.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 114.0ms | 9.75591933194039e+260 | 4.254758396217193e+267 |
| 60.0ms | 4.5937182062273436e-293 | 3.002000244190248e-292 |
| 66.0ms | -1.3466436767997148e+160 | -2.1198713482300692e+158 |
| 104.0ms | 352× | 0 | valid |
| 84.0ms | 373× | 0 | invalid |
Compiled 923 to 638 computations (30.9% saved)
ival-div: 69.0ms (45.3% of total)ival-mult: 47.0ms (30.8% of total)ival-pow: 25.0ms (16.4% of total)ival-pow2: 7.0ms (4.6% of total)ival-sub: 3.0ms (2% of total)ival-true: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0639247698279717e+234 | +inf |
| 0.0ms | 5.229662031129137e-292 | 9.531388735434342e-252 |
| 0.0ms | -1.8137681164119087e-11 | -2.587452412521445e-13 |
Compiled 43 to 30 computations (30.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.5937182062273436e-293 | 3.002000244190248e-292 |
| 80.0ms | -4.018645801027548e+193 | -1.6998494117702797e+190 |
| 40.0ms | 128× | 0 | valid |
| 32.0ms | 115× | 0 | invalid |
Compiled 491 to 358 computations (27.1% saved)
ival-div: 28.0ms (44.2% of total)ival-pow: 24.0ms (37.9% of total)ival-mult: 8.0ms (12.6% of total)ival-pow2: 2.0ms (3.2% of total)ival-sub: 1.0ms (1.6% 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 |
|---|---|---|
| 109.0ms | 1.597368895305833e-266 | 3.0218255835771303e-259 |
| 45.0ms | 151× | 0 | invalid |
| 22.0ms | 144× | 0 | valid |
Compiled 331 to 246 computations (25.7% saved)
ival-div: 10.0ms (33% of total)ival-mult: 10.0ms (33% of total)ival-pow: 6.0ms (19.8% of total)ival-pow2: 3.0ms (9.9% of total)ival-sub: 1.0ms (3.3% 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 | 1.597368895305833e-266 | 3.0218255835771303e-259 |
Compiled 313 to 228 computations (27.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 39.0ms | -5.155073885604583e-239 | -7.71147247509875e-240 |
| 17.0ms | 78× | 0 | invalid |
| 17.0ms | 96× | 0 | valid |
Compiled 217 to 156 computations (28.1% saved)
ival-mult: 12.0ms (45.8% of total)ival-div: 6.0ms (22.9% of total)ival-pow: 6.0ms (22.9% of total)ival-pow2: 2.0ms (7.6% of total)ival-sub: 1.0ms (3.8% 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 |
|---|---|---|
| 51.0ms | -6.572895992176663e-200 | -1.435719911684363e-207 |
| 26.0ms | 144× | 0 | valid |
| 16.0ms | 134× | 0 | invalid |
Compiled 295 to 201 computations (31.9% saved)
ival-div: 10.0ms (31.4% of total)ival-mult: 9.0ms (28.2% of total)ival-pow: 9.0ms (28.2% of total)ival-pow2: 3.0ms (9.4% of total)ival-sub: 1.0ms (3.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 342× | *-commutative_binary64 |
| 320× | neg-mul-1_binary64 |
| 220× | unsub-neg_binary64 |
| 192× | distribute-rgt-neg-in_binary64 |
| 186× | distribute-lft-neg-in_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 402 | 5319 |
| 1 | 556 | 5319 |
| 2 | 666 | 5319 |
| 3 | 788 | 5318 |
| 4 | 879 | 5318 |
| 5 | 954 | 5318 |
| 6 | 1178 | 5318 |
| 7 | 1506 | 5318 |
| 8 | 1534 | 5318 |
| 9 | 1537 | 5318 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 d #s(literal -6781338732101207/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))))) |
(if (<=.f64 d #s(literal -6781338732101207/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h 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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))))) |
(if (<=.f64 d #s(literal -6781338732101207/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (/.f64 (/.f64 (*.f64 M D) (*.f64 d #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) h))))) (if (<=.f64 d #s(literal -311027949635929/188501787658138776526316391973679239907820382867140805681144220780050698265428977917842924316820804490882044531700026161400423140624345724347059987430217219443542346615871751089083876220596224387399635909565487009065232689887930358404389913798458461035797425091600762263250923357187307004059038598692050448905404416 binary64)) (/.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (fma.f64 (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) d) (/.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) l) (*.f64 d #s(literal 4 binary64))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 M (*.f64 D (*.f64 M D)))) (*.f64 l (*.f64 (*.f64 d d) #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h)))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))) |
(if (<=.f64 l #s(literal -740000000000000000000 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 h #s(literal -1/2 binary64)) (*.f64 l (*.f64 d #s(literal 4 binary64)))) (*.f64 D (*.f64 M D))) (/.f64 M d) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal +inf.0 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M (*.f64 D #s(literal 1/2 binary64))) (*.f64 d #s(literal 2 binary64))) l) (*.f64 (/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) h)))) (*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 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 +inf.0 binary64)) (/.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 M D) d) (/.f64 (*.f64 M D) (*.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 h d))) (*.f64 #s(approx (* (+ 1 (/ (* (* h -1/2) (* M (* D (* M D)))) (* l (* (* d d) 4)))) (sqrt (/ d h))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (neg.f64 (/.f64 (*.f64 M M) l))))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))))) |
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(if (<=.f64 l #s(literal -5884782876925013/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) (if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) (*.f64 (fma.f64 (*.f64 h #s(literal -1/2 binary64)) (/.f64 (*.f64 M (*.f64 D (*.f64 M D))) (*.f64 d (*.f64 l (*.f64 d #s(literal 4 binary64))))) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 h l)))))) |
(if (<=.f64 l #s(literal -5884782876925013/3064991081731777716716694054300618367237478244367204352 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) (if (<=.f64 l #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 #s(literal -1/8 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 D D) M) M)))) d)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))))) |
(if (<=.f64 l #s(literal -1777694827404431/6129982163463555433433388108601236734474956488734408704 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (sqrt.f64 (/.f64 l d)))) (if (<=.f64 l #s(literal -4694388199266237/24707306311927565716857342128774085333197833223161879682238935306082805123046306993647507776054336486228891340858985829027076261887914242781617846672453431386903982455635542158748401823985988322905245077938567513252198179128990807936780194781391547404884040101606295111368825026273254703636026307207764436438929167613952 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))))) |
(if (<=.f64 h #s(literal -280000000000000001437735599829604406994086326444669691097992879441452935922074452037117982927217574487819326282304425590446636903983390988042170402301236215808 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D (*.f64 D (*.f64 M M))) (/.f64 #s(literal 1/8 binary64) d)))) (if (<=.f64 h #s(literal 8269388420366653/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) (if (<=.f64 h #s(literal 550000000000000031213269939348062945302689502497294647981324601065974327319764084879426831026924433910786867512053370741566418271612282936595069567937427225498509103905950151711320503263102494697688885265514694300903794874079354404492617207223373705956969460994670592 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 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 -6189700196426901/618970019642690137449562112 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 h (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 D D) (/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 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 5617791046444737/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 h l)) 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 4000000000000000071463380715227721294958115719866647221775093602238680374746769694703310198479796968316592622963504989040286903141021632643102843229688614169352013734586384083840095699369327263862581888776482840696626798286417136975872 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (*.f64 d d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 h l))))))) |
(if (<=.f64 h #s(literal -47999999999999997151181958959825289380591898478526524658565514132042986479605071579200964545151761808255137521147691727874018309172292498708208877491357769433439027079147824474722045771382784 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) (if (<=.f64 h #s(literal 8269388420366653/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l)))))) |
(if (<=.f64 d #s(literal 871298969811201/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 d (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 l))))) |
(if (<=.f64 d #s(literal 871298969811201/18152061871066687778296661354368903321914797383537530017770652579540291225102592450502542901564408576535628952517004065557306948798155587253306037366972590646764780767180906664339433713797579795779287057890032192456881698082005372169886461674177955114893128728688280185836979355648 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))) |
(if (<=.f64 l #s(literal -340184356305213/29326237612518360273324834748083034614499060912302748190148044495166529541481373859169571088204419456439664137440255713356182385415243137741255706666562129531405183291370713192721204491754474266874920968429307133415352886893299285622127397997029678383104 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))) |
(if (<=.f64 d #s(literal -2370006831801635/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
| Outputs |
|---|
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(if (<=.f64 l #s(literal -340184356305213/29326237612518360273324834748083034614499060912302748190148044495166529541481373859169571088204419456439664137440255713356182385415243137741255706666562129531405183291370713192721204491754474266874920968429307133415352886893299285622127397997029678383104 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))) (neg.f64 d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))) |
(if (<=.f64 l #s(literal -340184356305213/29326237612518360273324834748083034614499060912302748190148044495166529541481373859169571088204419456439664137440255713356182385415243137741255706666562129531405183291370713192721204491754474266874920968429307133415352886893299285622127397997029678383104 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h l))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))) |
(if (<=.f64 d #s(literal -2370006831801635/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 d (*.f64 h l)) d))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))) |
(if (<=.f64 d #s(literal -2370006831801635/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032192 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 d (/.f64 d (*.f64 h l))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 h l)))) |
| 8 988× | lower-*.f64 |
| 8 988× | lower-*.f32 |
| 8 424× | lower-*.f64 |
| 8 424× | lower-*.f32 |
| 7 874× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 314 | 16547 |
| 1 | 905 | 16017 |
| 2 | 3251 | 15907 |
| 3 | 7224 | 15835 |
| 0 | 8232 | 15469 |
| 0 | 120 | 3277 |
| 1 | 321 | 3193 |
| 2 | 1147 | 3183 |
| 3 | 2635 | 3164 |
| 4 | 5494 | 3164 |
| 0 | 8538 | 3125 |
| 0 | 246 | 14653 |
| 1 | 713 | 14232 |
| 2 | 2609 | 14176 |
| 3 | 5842 | 14125 |
| 0 | 8377 | 13885 |
| 0 | 72 | 342 |
| 0 | 121 | 311 |
| 1 | 458 | 267 |
| 2 | 4186 | 262 |
| 0 | 8155 | 262 |
| 0 | 72 | 368 |
| 0 | 118 | 350 |
| 1 | 425 | 322 |
| 2 | 3857 | 312 |
| 0 | 8086 | 309 |
| 0 | 22 | 64 |
| 0 | 38 | 60 |
| 1 | 124 | 59 |
| 2 | 828 | 59 |
| 0 | 8726 | 58 |
| 0 | 390 | 20009 |
| 1 | 1162 | 19313 |
| 2 | 4206 | 19180 |
| 0 | 8697 | 18724 |
| 0 | 103 | 477 |
| 0 | 160 | 453 |
| 1 | 595 | 396 |
| 2 | 5310 | 390 |
| 0 | 8484 | 381 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 10 180 to 3 642 computations (64.2% saved)
(abs M)
Compiled 7 904 to 1 368 computations (82.7% saved)
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