
Time bar (total: 15.6s)
| 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)
| 2.3s | 12 995× | 0 | invalid |
| 1.6s | 8 256× | 0 | valid |
ival-div: 911.0ms (31.3% of total)ival-mult: 893.0ms (30.7% of total)ival-pow: 678.0ms (23.3% of total)ival-pow2: 244.0ms (8.4% of total)ival-sub: 137.0ms (4.7% of total)exact: 21.0ms (0.7% of total)ival-true: 18.0ms (0.6% of total)ival-assert: 9.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 70 | 0 | - | 6 | (-1.4524999899116728e-101 -3.2501257741826194e-22 -5.13492994125521e+222 1.1166709865392599e+144 -6.713219287292834e+204) | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 67 | 0 | - | 5 | (-3.5590974935139156e-188 -5.110788692590863e+123 -1.8900640020556874e-8 -2.343698245533715e+56 2.5274340214182073e-16) | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 39 | 0 | - | 2 | (-2.270148967407511e-14 -1.9312935198844496e+255 -2.8554045072588873e+206 -3.279668112416015e+102 -1.0316007298542737e-272) | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
| 31 | 0 | - | 0 | - | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 30 | 1 | (5.0462441998399346e-70 5.352006903967778e-283 7.251611996373609e+62 -2.2733676070359435e-295 -3.22966101132745e-97) | 1 | (2.992290929592722e-66 1.8682111754285456e-42 4.657610132757905e-267 1.2091191517801622e-209 9.870741616209032e-105) | (/.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 | 35 | 0 |
| ↳ | (/.f64 d l) | overflow | 35 | |
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | oflow-rescue | 34 | 0 |
| ↳ | (/.f64 d h) | overflow | 34 | |
pow.f64 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 29 | 0 |
| ↳ | (/.f64 d l) | underflow | 29 | |
pow.f64 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | uflow-rescue | 28 | 0 |
| ↳ | (/.f64 d h) | underflow | 28 | |
*.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 | 17 | 0 |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | o/n | 14 | 0 |
| ↳ | (*.f64 M D) | overflow | 39 | |
*.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 | 14 | 0 |
| ↳ | (/.f64 d h) | underflow | 28 | |
| ↳ | (/.f64 d l) | underflow | 29 | |
| ↳ | (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) | underflow | 19 | |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 97 | |
| ↳ | (/.f64 h l) | overflow | 38 | |
| ↳ | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 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 | 100 | |
| ↳ | (*.f64 (*.f64 (/.f64 #s(literal 1 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 | 100 | |
| ↳ | (*.f64 M D) | overflow | 39 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 53 | |
| ↳ | (*.f64 (/.f64 #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 | 97 | |
| ↳ | (*.f64 #s(literal 2 binary64) d) | overflow | 1 | |
*.f64 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | n*o | 7 | 0 |
*.f64 | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) | o*u | 3 | 0 |
| ↳ | (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) | overflow | 97 | |
| ↳ | (*.f64 M D) | overflow | 39 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | overflow | 53 | |
| ↳ | (*.f64 (/.f64 #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 | 97 | |
| ↳ | (*.f64 #s(literal 2 binary64) d) | overflow | 1 | |
| ↳ | (/.f64 h l) | underflow | 22 | |
*.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 | 88 | |
| ↳ | (*.f64 (/.f64 #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 | 88 | |
| ↳ | (*.f64 M D) | underflow | 35 | |
| ↳ | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | underflow | 37 | |
| ↳ | (/.f64 h l) | overflow | 38 | |
/.f64 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | u/n | 1 | 0 |
| ↳ | (*.f64 M D) | underflow | 35 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 86 | 11 |
| - | 40 | 119 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 86 | 0 | 11 |
| - | 40 | 0 | 119 |
| number | freq |
|---|---|
| 0 | 130 |
| 1 | 78 |
| 2 | 38 |
| 3 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 105.0ms | 512× | 0 | valid |
Compiled 501 to 92 computations (81.6% saved)
ival-pow: 36.0ms (46.1% of total)ival-div: 17.0ms (21.8% of total)ival-mult: 16.0ms (20.5% of total)ival-pow2: 5.0ms (6.4% of total)ival-sub: 2.0ms (2.6% of total)ival-true: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 564 |
| 1 | 558 | 553 |
| 2 | 2092 | 548 |
| 3 | 4738 | 548 |
| 0 | 22 | 29 |
| 0 | 38 | 27 |
| 1 | 67 | 27 |
| 2 | 182 | 27 |
| 3 | 1068 | 27 |
| 4 | 3452 | 27 |
| 5 | 6729 | 27 |
| 0 | 8398 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(abs D)
(abs M)
(sort M D)
Compiled 35 to 22 computations (37.1% saved)
Compiled 0 to 5 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 63.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 5824 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| cost-diff | 5824 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 132 |
| 0 | 38 | 126 |
| 1 | 67 | 126 |
| 2 | 182 | 126 |
| 3 | 1068 | 126 |
| 4 | 3452 | 126 |
| 5 | 6729 | 126 |
| 0 | 8398 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 (/.f64 (/.f64 M d) #s(literal 2 binary64)) D) |
(*.f64 M D) |
(*.f64 D M) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.50508610871428 | (*.f64 (*.f64 (pow.f64 (/.f64 d 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 | 8.97962061048339 | (*.f64 (*.f64 (/.f64 #s(literal 1 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 | 15.11752460104554 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 15.643377902282486 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 154.0ms | 256× | 0 | valid |
Compiled 310 to 46 computations (85.2% saved)
ival-div: 36.0ms (61.5% of total)ival-pow: 10.0ms (17.1% of total)ival-mult: 8.0ms (13.7% of total)ival-pow2: 2.0ms (3.4% of total)ival-sub: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d 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)) |
(* 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 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(/ (- 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(* (* 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))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | l | @ | inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))) |
| 6.0ms | l | @ | 0 | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))) |
| 5.0ms | d | @ | 0 | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))) |
| 5.0ms | d | @ | -inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))) |
| 3.0ms | h | @ | 0 | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 635 |
| 1 | 413 | 593 |
| 2 | 1514 | 584 |
| 3 | 4190 | 568 |
| 4 | 7941 | 568 |
| 0 | 8163 | 552 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(* 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 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* d (sqrt (/ 1 (* h l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(/ (- 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(* (* 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))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) 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 l)) |
(sqrt.f64 (/.f64 d l)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l)) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D 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 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 d h))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(* -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))))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))))) h) |
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 d l))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/8 binary64)) (/.f64 (/.f64 (*.f64 D D) d) d)) (*.f64 M M) #s(literal 1 binary64)) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 72 |
| 0 | 38 | 68 |
| 1 | 124 | 67 |
| 2 | 836 | 67 |
| 0 | 8760 | 65 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/8 binary64))) (pow.f64 (/.f64 h d) #s(literal -1/8 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 d #s(literal 1/4 binary64))) (pow.f64 h #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 h #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/8 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 h)))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) |
(*.f64 (sqrt.f64 d) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 h #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h))) |
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(fma.f64 (sqrt.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d h))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (sqrt.f64 d) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d l))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (sqrt.f64 d) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d l))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (sqrt.f64 d) (pow.f64 (/.f64 (/.f64 d l) h) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (sqrt.f64 d) (pow.f64 (/.f64 (/.f64 d l) h) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 h #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 h #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d l)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 l #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d h)))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (pow.f64 d #s(literal 1/4 binary64)) (*.f64 (pow.f64 l #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d h)))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (*.f64 (/.f64 h l) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d l))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d l))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d l))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d l))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d l))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (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))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (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))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (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))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (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 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (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 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 d h)) (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (neg.f64 h) l) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (/.f64 d h)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) #s(literal -1/2 binary64)) (*.f64 (/.f64 h l) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 (neg.f64 h) l) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(+.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(+.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))))) |
Compiled 20 228 to 1 520 computations (92.5% saved)
29 alts after pruning (29 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 447 | 29 | 476 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 448 | 29 | 477 |
| Status | Accuracy | Program |
|---|---|---|
| 38.5% | (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| ▶ | 21.8% | (fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
| 62.5% | (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 l d))) | |
| 34.7% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) | |
| 39.4% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h)) | |
| 31.2% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) | |
| 35.9% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 d)) (sqrt.f64 l)) | |
| 52.3% | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 52.2% | (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d l) h) d) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d l) h) d) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 63.2% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| 63.3% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) #s(literal 1 binary64))) | |
| 50.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) | |
| 60.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))) d))) | |
| ▶ | 66.4% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) |
| 60.6% | (*.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 (/.f64 h l) #s(literal 1/2 binary64)))))) | |
| 27.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l)))) | |
| 36.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) | |
| ▶ | 35.5% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 63.2% | (*.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)))) | |
| 63.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 39.4% | (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (pow.f64 h #s(literal -1/2 binary64))) | |
| 35.6% | (*.f64 (sqrt.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))))) | |
| 39.0% | (*.f64 (sqrt.f64 d) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))) | |
| 40.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 15.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) | |
| 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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) | |
| 17.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| ▶ | 28.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 22.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
Compiled 2 144 to 1 510 computations (29.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 5824 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (/.f64 d l) h) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (/.f64 d l) h)) | |
| cost-diff | 0 | (sqrt.f64 d) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| cost-diff | 0 | (*.f64 l h) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) | |
| cost-diff | 0 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 5824 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| cost-diff | 5824 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| cost-diff | 6848 | (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 636 |
| 0 | 136 | 625 |
| 1 | 234 | 605 |
| 2 | 590 | 605 |
| 3 | 2866 | 605 |
| 4 | 7170 | 605 |
| 0 | 8104 | 600 |
| 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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64))))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 D #s(literal 1/2 binary64)) |
D |
(/.f64 M d) |
M |
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 D d) M) |
(/.f64 D d) |
(pow.f64 h #s(literal -1 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
#s(literal 1 binary64) |
(*.f64 l h) |
l |
h |
d |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
#s(literal -1/2 binary64) |
(/.f64 h l) |
h |
l |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
(/.f64 #s(literal 2 binary64) M) |
#s(literal 2 binary64) |
M |
(/.f64 d D) |
d |
D |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(sqrt.f64 d) |
d |
(sqrt.f64 (/.f64 (/.f64 d l) h)) |
(/.f64 (/.f64 d l) h) |
(/.f64 d l) |
l |
h |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
#s(literal -1/2 binary64) |
(/.f64 h l) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
(/.f64 #s(literal 2 binary64) M) |
#s(literal 2 binary64) |
M |
(/.f64 d D) |
D |
#s(literal -2 binary64) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (/.f64 (/.f64 d l) h) d) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(/.f64 (sqrt.f64 d) (sqrt.f64 l)) |
(sqrt.f64 d) |
(sqrt.f64 l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) h) l) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) h) l) (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M D)) #s(literal 1/2 binary64)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) h) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) |
(*.f64 (/.f64 (*.f64 M #s(literal 1/4 binary64)) l) (/.f64 D d)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) |
(*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) D) |
(*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/4 binary64) D) |
#s(literal 1/2 binary64) |
(*.f64 D #s(literal 1/2 binary64)) |
D |
(/.f64 M d) |
M |
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) h) |
(*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 D d) M) |
(/.f64 D d) |
(pow.f64 h #s(literal -1 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(/.f64 (pow.f64 h #s(literal -1 binary64)) l) |
#s(literal 1 binary64) |
(*.f64 l h) |
l |
h |
d |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
(*.f64 (/.f64 h l) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 h l) |
h |
l |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
(*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) |
(/.f64 #s(literal 2 binary64) M) |
#s(literal 2 binary64) |
M |
(/.f64 d D) |
d |
D |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) #s(literal -2 binary64)) (*.f64 (sqrt.f64 (/.f64 (/.f64 d l) h)) (sqrt.f64 d))) |
(sqrt.f64 d) |
d |
(sqrt.f64 (/.f64 (/.f64 d l) h)) |
(/.f64 (/.f64 d l) h) |
(/.f64 d l) |
l |
h |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) #s(literal -2 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
(*.f64 (/.f64 h l) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 h l) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
(*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) |
(/.f64 #s(literal 2 binary64) M) |
#s(literal 2 binary64) |
M |
(/.f64 d D) |
D |
#s(literal -2 binary64) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (/.f64 (/.f64 d l) h) d) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) |
(*.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 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) |
(/.f64 (sqrt.f64 d) (sqrt.f64 l)) |
(sqrt.f64 d) |
(sqrt.f64 l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(*.f64 (*.f64 (/.f64 h l) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) |
(*.f64 M D) |
M |
D |
(*.f64 #s(literal 2 binary64) d) |
(/.f64 h l) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.4686499278455085 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| accuracy | 4.1079481554033155 | (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) | |
| accuracy | 5.019094617888965 | (*.f64 (*.f64 (/.f64 #s(literal 1 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 | 8.850757113104443 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 5.113553625339258 | (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) | |
| accuracy | 6.8485210977638085 | (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| accuracy | 8.997676281428973 | (sqrt.f64 (/.f64 (/.f64 d l) h)) | |
| accuracy | 11.594306124873105 | (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) | |
| accuracy | 2.234438532322495 | (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) | |
| accuracy | 3.885715278639667 | (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 8.854663363104443 | (sqrt.f64 (/.f64 d h)) | |
| accuracy | 9.33309705992232 | (sqrt.f64 (/.f64 d l)) | |
| accuracy | 0.11328125 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) | |
| accuracy | 0.5361342592344718 | (/.f64 #s(literal 1 binary64) (*.f64 l h)) | |
| accuracy | 8.434058275622546 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) | |
| accuracy | 15.788182077524574 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) | |
| accuracy | 3.4686499278455085 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) | |
| accuracy | 3.4769099428390935 | (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) | |
| accuracy | 8.850757113104443 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 9.33309705992232 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 116.0ms | 135× | 0 | valid |
| 100.0ms | 121× | 0 | invalid |
Compiled 1 341 to 150 computations (88.8% saved)
ival-sqrt: 57.0ms (31.7% of total)ival-mult: 47.0ms (26.1% of total)ival-div: 45.0ms (25% of total)ival-pow: 18.0ms (10% of total)ival-add: 7.0ms (3.9% of total)ival-sub: 2.0ms (1.1% of total)ival-pow2: 2.0ms (1.1% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(*.f64 l h) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(sqrt.f64 d) |
(sqrt.f64 (/.f64 (/.f64 d l) h)) |
(/.f64 (/.f64 d l) h) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt.f64 (/.f64 d h)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| Outputs |
|---|
(* 1/2 (/ (* D (* M h)) d)) |
(sqrt (/ d h)) |
(sqrt (/ 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) |
(* d (sqrt (/ 1 (* h l)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(* -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)) |
(sqrt d) |
(sqrt (/ d (* h l))) |
(/ d (* h l)) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(* 1/4 (/ (* D M) d)) |
(* 2 (/ d (* D M))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt d) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d (* h l))) (pow (sqrt -1) 2))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(sqrt (/ 1 (* h l))) |
(* h l) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
(* -1/2 (/ h l)) |
(/ 1 (* h 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 (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))) |
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))) |
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* (sqrt (/ d (* h l))) (pow (sqrt -1) 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)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l) |
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(+ (* -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))))) |
(* (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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) 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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | d | @ | inf | ((/ (* (* (/ D d) M) 1/2) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (sqrt d) (sqrt (/ (/ d l) h))) (* (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt d) (sqrt (/ (/ d l) h)) (/ (/ d l) h) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* (/ D d) M) 1/2) (pow h -1))))) (/ 1 (* l h)) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ 2 M) (/ d D)) (sqrt (* (/ (/ d l) h) d)) (* (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d))) |
| 27.0ms | D | @ | 0 | ((/ (* (* (/ D d) M) 1/2) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (sqrt d) (sqrt (/ (/ d l) h))) (* (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt d) (sqrt (/ (/ d l) h)) (/ (/ d l) h) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* (/ D d) M) 1/2) (pow h -1))))) (/ 1 (* l h)) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ 2 M) (/ d D)) (sqrt (* (/ (/ d l) h) d)) (* (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d))) |
| 25.0ms | h | @ | 0 | ((/ (* (* (/ D d) M) 1/2) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (sqrt d) (sqrt (/ (/ d l) h))) (* (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt d) (sqrt (/ (/ d l) h)) (/ (/ d l) h) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* (/ D d) M) 1/2) (pow h -1))))) (/ 1 (* l h)) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ 2 M) (/ d D)) (sqrt (* (/ (/ d l) h) d)) (* (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d))) |
| 16.0ms | M | @ | 0 | ((/ (* (* (/ D d) M) 1/2) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (sqrt d) (sqrt (/ (/ d l) h))) (* (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt d) (sqrt (/ (/ d l) h)) (/ (/ d l) h) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* (/ D d) M) 1/2) (pow h -1))))) (/ 1 (* l h)) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ 2 M) (/ d D)) (sqrt (* (/ (/ d l) h) d)) (* (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d))) |
| 14.0ms | l | @ | 0 | ((/ (* (* (/ D d) M) 1/2) (pow h -1)) (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ 1 (* l h))) d) (sqrt (/ 1 (* l h))) (* l h) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* -1/2 (/ h l)) (+ (* (sqrt d) (sqrt (/ (/ d l) h))) (* (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d)))) (sqrt d) (sqrt (/ (/ d l) h)) (/ (/ d l) h) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (* (* (pow (/ d h) (/ 1 2)) (/ (sqrt d) (sqrt l))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* (/ D d) M) 1/2) (pow h -1))))) (/ 1 (* l h)) (sqrt (/ d l)) (sqrt (/ d h)) (* (/ 2 M) (/ d D)) (sqrt (* (/ (/ d l) h) d)) (* (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) (sqrt (* (/ (/ d l) h) d))) (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)) (/ (* M D) (* 2 d))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 261 | 1214 |
| 1 | 739 | 1129 |
| 2 | 2574 | 1115 |
| 3 | 6173 | 1107 |
| 0 | 8812 | 1076 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ (* D (* M h)) d)) |
(sqrt (/ d h)) |
(sqrt (/ 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) |
(* d (sqrt (/ 1 (* h l)))) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(* -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)) |
(sqrt d) |
(sqrt (/ d (* h l))) |
(/ d (* h l)) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(* 1/4 (/ (* D M) d)) |
(* 2 (/ d (* D M))) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(* 1/2 (/ (* D M) d)) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt d) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d (* h l))) (pow (sqrt -1) 2))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(sqrt (/ 1 (* h l))) |
(* h l) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
(* -1/2 (/ h l)) |
(/ 1 (* h 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 (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))) |
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))) |
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* (sqrt (/ d (* h l))) (pow (sqrt -1) 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)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l) |
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(+ (* -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))))) |
(* (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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) 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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
| Outputs |
|---|
(* 1/2 (/ (* D (* M h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)) |
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(sqrt d) |
(sqrt.f64 d) |
(sqrt (/ d (* h l))) |
(sqrt.f64 (/.f64 (/.f64 d l) h)) |
(/ d (* h l)) |
(/.f64 (/.f64 d l) h) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* 1/4 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) |
(* 2 (/ d (* D M))) |
(*.f64 (/.f64 d (*.f64 M D)) #s(literal 2 binary64)) |
(* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) l) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) |
(* 1/2 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/2 binary64)) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)))) d) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64))))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) l)))) d) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) d) |
(* -1 (* (sqrt d) (pow (sqrt -1) 2))) |
(sqrt.f64 d) |
(* -1 (* (sqrt (/ d (* h l))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 (/.f64 d l) h)) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h) |
(sqrt (/ 1 (* h l))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(* h l) |
(*.f64 l h) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h) |
(* -1/2 (/ h l)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
(/ 1 (* h l)) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h) |
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) h))) (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64))))) h) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 d h))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) d))) |
(* -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))))))))) |
(*.f64 (neg.f64 h) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 D D)) (*.f64 (neg.f64 M) M)) (/.f64 #s(literal -1/8 binary64) l)) |
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))) |
(*.f64 (neg.f64 h) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) h))) (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64)))))) |
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* (sqrt (/ d (* h l))) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 (/.f64 d l) h))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 d h)) l)) l) |
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 d 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))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 372 |
| 0 | 136 | 346 |
| 1 | 403 | 329 |
| 2 | 2964 | 317 |
| 0 | 10489 | 317 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(*.f64 l h) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(sqrt.f64 d) |
(sqrt.f64 (/.f64 (/.f64 d l) h)) |
(/.f64 (/.f64 d l) h) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(sqrt.f64 (/.f64 d l)) |
(sqrt.f64 (/.f64 d h)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 M (/.f64 D d))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 M (/.f64 D d))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (/.f64 D d)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) M)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) h) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 h #s(literal -1/2 binary64))) (/.f64 (*.f64 M (/.f64 D d)) (pow.f64 h #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 M (/.f64 D d)) (pow.f64 h #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 h #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 D d) (pow.f64 h #s(literal -1/2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) M) (pow.f64 h #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 M (/.f64 D d))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M (/.f64 D d))) (pow.f64 (/.f64 #s(literal -1 binary64) h) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 h) (pow.f64 (/.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) h) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 M (/.f64 D d)))) |
(*.f64 h (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) |
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(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))))) |
(*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) (pow.f64 (pow.f64 M #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 D (/.f64 #s(literal 1/2 binary64) d)) M) |
(*.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (pow.f64 (pow.f64 (*.f64 M D) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) d) (*.f64 M D)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 D d)) |
(*.f64 (*.f64 (neg.f64 M) D) (pow.f64 (*.f64 #s(literal -2 binary64) d) #s(literal -1 binary64))) |
(*.f64 (/.f64 M d) (pow.f64 (/.f64 #s(literal 2 binary64) D) #s(literal -1 binary64))) |
(*.f64 (/.f64 M d) (/.f64 D #s(literal 2 binary64))) |
(*.f64 (/.f64 M d) (*.f64 #s(literal 1/2 binary64) D)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) D) (/.f64 M d)) |
(*.f64 (*.f64 M D) (/.f64 #s(literal 1/2 binary64) d)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (/.f64 d D) M) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 M (/.f64 D d)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) |
(*.f64 (*.f64 M (/.f64 D d)) #s(literal 1/2 binary64)) |
(*.f64 M (pow.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 M (*.f64 (/.f64 D d) #s(literal 1/2 binary64))) |
(*.f64 M (*.f64 D (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 (/.f64 D d) (*.f64 #s(literal 1/2 binary64) M)) |
(*.f64 D (/.f64 M (*.f64 #s(literal 2 binary64) d))) |
(*.f64 D (*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) M))) |
(*.f64 D (*.f64 M (/.f64 #s(literal 1/2 binary64) d))) |
(*.f64 D (*.f64 #s(literal 1/2 binary64) (/.f64 M d))) |
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 d (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal -1 binary64)) |
(/.f64 (exp.f64 (log.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) (exp.f64 (log.f64 d))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 M) D))) (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) d)))) |
(/.f64 (exp.f64 (log.f64 (*.f64 M D))) (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) d)))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M D)) d) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) (neg.f64 M)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) #s(literal 1 binary64)) (/.f64 d M)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) #s(literal 1 binary64)) (/.f64 d D)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) D) M) d) |
(/.f64 (neg.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 M) D)) (neg.f64 (*.f64 #s(literal -2 binary64) d))) |
(/.f64 (*.f64 (*.f64 M D) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 (*.f64 (neg.f64 D) (*.f64 #s(literal 1/2 binary64) M)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) (neg.f64 D)) (neg.f64 d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) M) D) d) |
(/.f64 (*.f64 M #s(literal 1 binary64)) (*.f64 (/.f64 d D) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) d) |
(/.f64 (*.f64 #s(literal 1/2 binary64) M) (/.f64 d D)) |
(/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal -2 binary64) d)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) D) (/.f64 d M)) |
(/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (*.f64 M D) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))))) |
(/.f64 (*.f64 M (/.f64 D d)) #s(literal 2 binary64)) |
(/.f64 (/.f64 D d) (/.f64 #s(literal 2 binary64) M)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 M) D) (*.f64 #s(literal 2 binary64) d))) |
(neg.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal -2 binary64) d))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))))) |
Compiled 38 445 to 3 901 computations (89.9% saved)
43 alts after pruning (42 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 948 | 31 | 979 |
| Fresh | 13 | 11 | 24 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 965 | 43 | 1 008 |
| Status | Accuracy | Program |
|---|---|---|
| 38.5% | (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 22.3% | (fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) (neg.f64 d)) l) (*.f64 #s(literal -1/2 binary64) (*.f64 M (/.f64 D d)))) (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) | |
| 22.6% | (fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) (neg.f64 d)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) | |
| ▶ | 22.4% | (fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
| 40.3% | (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l)) | |
| 34.7% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) | |
| 39.4% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (sqrt.f64 h)) | |
| 31.2% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) | |
| 36.5% | (*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 52.3% | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 62.8% | (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (/.f64 d h))) | |
| 65.4% | (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) (neg.f64 d)) l) (*.f64 M (/.f64 D d))) (*.f64 #s(literal 1/2 binary64) h) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 65.6% | (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 M d) l) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 63.7% | (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 63.9% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| ▶ | 65.7% | (*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
| 64.1% | (*.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 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) #s(approx (/ (* (* (/ D d) M) 1/2) (pow h -1)) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)))))) | |
| 34.8% | (*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) | |
| 37.7% | (*.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 1/2 binary64) h) (*.f64 M (/.f64 D d))) (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) D) M)) d)))) | |
| 38.6% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 M (/.f64 D d))) l)))) | |
| 63.2% | (*.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)))) | |
| 63.9% | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) | |
| 37.4% | (*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) | |
| 27.9% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| ▶ | 14.4% | (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
| 40.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) | |
| ▶ | 37.3% | #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 d l)) (sqrt.f64 (/.f64 h d)))) |
| 16.0% | #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 h) (neg.f64 d))) (sqrt.f64 (neg.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 (sqrt.f64 d) (sqrt.f64 (*.f64 h (/.f64 l d))))) | |
| ▶ | 28.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 29.7% | #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) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d))))) | |
| 2.7% | #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 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d)) | |
| 28.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) | |
| 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 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) | |
| 17.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) | |
| 36.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) | |
| ✓ | 28.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 22.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) | |
| 27.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)) | |
| 32.8% | #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 l) h) d))) | |
| 41.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
Compiled 3 352 to 2 298 computations (31.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) | |
| cost-diff | 0 | #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) | |
| cost-diff | 0 | (sqrt.f64 d) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) | |
| cost-diff | 320 | (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) | |
| cost-diff | 320 | (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) | |
| cost-diff | 0 | (/.f64 d l) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 d l)) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) | |
| cost-diff | 0 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) | |
| cost-diff | 0 | (*.f64 l h) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 l h)) | |
| cost-diff | 0 | (/.f64 d (sqrt.f64 (*.f64 l h))) | |
| cost-diff | 0 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| cost-diff | 448 | (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 5824 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| cost-diff | 5824 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 665 |
| 0 | 148 | 655 |
| 1 | 269 | 635 |
| 2 | 770 | 625 |
| 3 | 4234 | 625 |
| 0 | 8263 | 619 |
| 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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 D #s(literal 1/2 binary64)) |
D |
(/.f64 M d) |
M |
(/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d) |
(*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) |
(*.f64 M D) |
(*.f64 #s(literal 1/2 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 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
d |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
l |
h |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
(/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
d |
l |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h d) |
h |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(sqrt.f64 d) |
d |
(sqrt.f64 (/.f64 (/.f64 d l) h)) |
(/.f64 (/.f64 d l) h) |
(/.f64 d l) |
l |
h |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) |
(*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) |
(*.f64 (/.f64 h l) #s(literal -1/2 binary64)) |
(/.f64 h l) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) |
#s(literal 1/2 binary64) |
(*.f64 M (/.f64 D d)) |
M |
(/.f64 D d) |
D |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(*.f64 (/.f64 (/.f64 d l) h) d) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 M M)) |
#s(literal -1/8 binary64) |
(*.f64 M M) |
M |
(/.f64 (*.f64 D D) l) |
(*.f64 D D) |
D |
l |
(sqrt.f64 (*.f64 h d)) |
(*.f64 h d) |
h |
d |
(sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h)) |
(/.f64 (pow.f64 d #s(literal 5 binary64)) h) |
(pow.f64 d #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 d d) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (/.f64 D d))) (/.f64 h l) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
d |
h |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
l |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (/.f64 D d))) (/.f64 h l) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 M D)) M) l) (/.f64 (*.f64 (*.f64 (/.f64 h d) #s(literal 1/2 binary64)) D) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) |
(*.f64 (/.f64 (*.f64 M #s(literal 1/4 binary64)) l) (/.f64 D d)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) |
(*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) D) |
(*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/4 binary64) D) |
#s(literal 1/2 binary64) |
(*.f64 D #s(literal 1/2 binary64)) |
D |
(/.f64 M d) |
M |
(/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d) |
(*.f64 (*.f64 (*.f64 (/.f64 h d) #s(literal 1/2 binary64)) D) M) |
(*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) |
(*.f64 (*.f64 h M) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 M D) |
(*.f64 #s(literal 1/2 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 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
d |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
l |
h |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
(/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
d |
l |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h d) |
h |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) (/.f64 h l)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (/.f64 D d))) (*.f64 (sqrt.f64 (/.f64 (/.f64 d h) l)) (sqrt.f64 d))) |
(sqrt.f64 d) |
d |
(sqrt.f64 (/.f64 (/.f64 d l) h)) |
(sqrt.f64 (/.f64 (/.f64 d h) l)) |
(/.f64 (/.f64 d l) h) |
(/.f64 (/.f64 d h) l) |
(/.f64 d l) |
l |
h |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) (/.f64 h l)) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (/.f64 D d)))) |
(*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 (/.f64 D d) M) M) (/.f64 D d))) (/.f64 h l)) |
(*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 h l)) D) (/.f64 M d)) |
(*.f64 (/.f64 h l) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
(/.f64 h l) |
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) |
(*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 M (/.f64 D d)) |
(*.f64 (/.f64 D d) M) |
M |
(/.f64 D d) |
D |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d h) l) d)) |
(*.f64 (/.f64 (/.f64 d l) h) d) |
(*.f64 (/.f64 (/.f64 d h) l) d) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (*.f64 M M) #s(literal -1/8 binary64))) (/.f64 D l)) D (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) |
#s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (*.f64 M M) #s(literal -1/8 binary64))) (/.f64 D l)) D (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (*.f64 M M) #s(literal -1/8 binary64))) (/.f64 D l)) D (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 h d)) (*.f64 (*.f64 M M) #s(literal -1/8 binary64))) (/.f64 D l)) D (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) D) l) D) |
(*.f64 #s(literal -1/8 binary64) (*.f64 M M)) |
(*.f64 (*.f64 M M) #s(literal -1/8 binary64)) |
#s(literal -1/8 binary64) |
(*.f64 M M) |
M |
(/.f64 (*.f64 D D) l) |
(*.f64 D D) |
D |
l |
(sqrt.f64 (*.f64 h d)) |
(*.f64 h d) |
h |
d |
(sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h)) |
(/.f64 (pow.f64 d #s(literal 5 binary64)) h) |
(pow.f64 d #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(*.f64 d d) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.356337141048805 | (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h)) | |
| accuracy | 7.773029360071536 | (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) | |
| accuracy | 9.33309705992232 | (sqrt.f64 (/.f64 d l)) | |
| accuracy | 13.736118081960095 | (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) | |
| accuracy | 5.391062226594918 | (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) | |
| accuracy | 6.8485210977638085 | (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| accuracy | 8.997676281428973 | (sqrt.f64 (/.f64 (/.f64 d l) h)) | |
| accuracy | 11.594306124873105 | (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) | |
| accuracy | 0.1171875 | (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) | |
| accuracy | 8.930465423084383 | (sqrt.f64 (/.f64 h d)) | |
| accuracy | 9.33309705992232 | (sqrt.f64 (/.f64 d l)) | |
| accuracy | 15.788182077524574 | #s(approx (* (* (pow (/ 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 h d)))) | |
| accuracy | 0.0 | (*.f64 l h) | |
| accuracy | 0.11328125 | (/.f64 d (sqrt.f64 (*.f64 l h))) | |
| accuracy | 8.792463379802802 | (sqrt.f64 (*.f64 l h)) | |
| accuracy | 15.788182077524574 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| accuracy | 3.4686499278455085 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) | |
| accuracy | 3.4769099428390935 | (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) | |
| accuracy | 8.850757113104443 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 9.33309705992232 | (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
| 91.0ms | 121× | 0 | invalid |
| 85.0ms | 135× | 0 | valid |
Compiled 1 316 to 180 computations (86.3% saved)
ival-mult: 73.0ms (51.2% of total)ival-div: 29.0ms (20.3% of total)ival-pow: 18.0ms (12.6% of total)ival-sqrt: 13.0ms (9.1% of total)ival-add: 3.0ms (2.1% of total)ival-pow2: 3.0ms (2.1% of total)ival-sub: 2.0ms (1.4% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) 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 (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
(/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
(*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) |
(*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(sqrt.f64 d) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(sqrt.f64 (/.f64 h d)) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(sqrt.f64 (/.f64 (/.f64 d l) h)) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) |
(sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h)) |
| Outputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(* -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) |
(* d (sqrt (/ 1 (* h l)))) |
(/ d l) |
(* -1/4 (/ (* D (* M h)) (* d l))) |
(sqrt d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h)))) |
(+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) |
(* 1/4 (/ (* D M) d)) |
(sqrt (/ h d)) |
(sqrt (/ d (* h l))) |
(sqrt (/ (pow d 5) h)) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* (pow d 3) (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt d) (pow (sqrt -1) 2))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (/ (pow d 5) h)) (pow (sqrt -1) 2))) |
(* -1 (* (pow d 3) (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt (/ d (* h l))) (pow (sqrt -1) 2))) |
(* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(sqrt (* h l)) |
(* h l) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
(/ (+ (sqrt (* (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d (pow h 3)))))) h) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) 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 (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))) |
(* h (+ (sqrt (/ (pow d 5) (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ d h)))))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))) |
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))) |
(* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))) |
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))) |
(* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (* d h)))) |
(* -1 (* h (+ (* -1 (* (sqrt (/ (pow d 5) (pow h 3))) (pow (sqrt -1) 2))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ d h))))))) |
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (sqrt (/ d (* h l))) (pow (sqrt -1) 2)) |
(* (sqrt (/ (pow d 5) h)) (pow (sqrt -1) 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (* d h)))) (* (sqrt (/ (pow d 5) h)) l)) l) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) l)) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(+ (* -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))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) 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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (* d h)))) (* (/ 1 (pow M 2)) (sqrt (/ (pow d 5) h))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) 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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (* d h)))) (* (/ 1 (pow D 2)) (sqrt (/ (pow d 5) h))))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | d | @ | 0 | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ d l)) (sqrt (/ h d))) (sqrt (/ d l)) (/ d l) (* (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (* 1/2 (* M (/ D d)))) (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (+ (* (sqrt d) (sqrt (/ (/ d l) h))) (* (* (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (* 1/2 (* M (/ D d)))) (sqrt (* (/ (/ d l) h) d)))) (sqrt d) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (* d d)) (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d)))) (sqrt (/ h d)) (sqrt (* (/ (/ d l) h) d)) (sqrt (/ (/ d l) h)) (* (* (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (* 1/2 (* M (/ D d)))) (sqrt (* (/ (/ d l) h) d))) (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (/ (pow d 5) h))) |
| 17.0ms | d | @ | -inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ d l)) (sqrt (/ h d))) (sqrt (/ d l)) (/ d l) (* (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (* 1/2 (* M (/ D d)))) (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (+ (* (sqrt d) (sqrt (/ (/ d l) h))) (* (* (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (* 1/2 (* M (/ D d)))) (sqrt (* (/ (/ d l) h) d)))) (sqrt d) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (* d d)) (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d)))) (sqrt (/ h d)) (sqrt (* (/ (/ d l) h) d)) (sqrt (/ (/ d l) h)) (* (* (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (* 1/2 (* M (/ D d)))) (sqrt (* (/ (/ d l) h) d))) (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (/ (pow d 5) h))) |
| 12.0ms | l | @ | 0 | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ d l)) (sqrt (/ h d))) (sqrt (/ d l)) (/ d l) (* (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (* 1/2 (* M (/ D d)))) (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (+ (* (sqrt d) (sqrt (/ (/ d l) h))) (* (* (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (* 1/2 (* M (/ D d)))) (sqrt (* (/ (/ d l) h) d)))) (sqrt d) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (* d d)) (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d)))) (sqrt (/ h d)) (sqrt (* (/ (/ d l) h) d)) (sqrt (/ (/ d l) h)) (* (* (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (* 1/2 (* M (/ D d)))) (sqrt (* (/ (/ d l) h) d))) (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (/ (pow d 5) h))) |
| 10.0ms | l | @ | -inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ d l)) (sqrt (/ h d))) (sqrt (/ d l)) (/ d l) (* (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (* 1/2 (* M (/ D d)))) (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (+ (* (sqrt d) (sqrt (/ (/ d l) h))) (* (* (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (* 1/2 (* M (/ D d)))) (sqrt (* (/ (/ d l) h) d)))) (sqrt d) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (* d d)) (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d)))) (sqrt (/ h d)) (sqrt (* (/ (/ d l) h) d)) (sqrt (/ (/ d l) h)) (* (* (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (* 1/2 (* M (/ D d)))) (sqrt (* (/ (/ d l) h) d))) (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (/ (pow d 5) h))) |
| 9.0ms | D | @ | inf | ((pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2)) (/ 1 2) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* l h) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ d l)) (sqrt (/ h d))) (sqrt (/ d l)) (/ d l) (* (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (* 1/2 (* M (/ D d)))) (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (+ (* (sqrt d) (sqrt (/ (/ d l) h))) (* (* (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (* 1/2 (* M (/ D d)))) (sqrt (* (/ (/ d l) h) d)))) (sqrt d) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (/ d l))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/ (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (* d d)) (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (* (* 1/2 (* D 1/2)) (/ M d)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d)))) (sqrt (/ h d)) (sqrt (* (/ (/ d l) h) d)) (sqrt (/ (/ d l) h)) (* (* (* (* (/ h l) -1/2) (* 1/2 (* M (/ D d)))) (* 1/2 (* M (/ D d)))) (sqrt (* (/ (/ d l) h) d))) (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (/ (pow d 5) h))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 296 | 1470 |
| 1 | 873 | 1363 |
| 2 | 3173 | 1339 |
| 3 | 6934 | 1326 |
| 0 | 8251 | 1293 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ d h)) |
(sqrt (/ d l)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(* -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) |
(* d (sqrt (/ 1 (* h l)))) |
(/ d l) |
(* -1/4 (/ (* D (* M h)) (* d l))) |
(sqrt d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h)))) |
(+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) |
(* 1/4 (/ (* D M) d)) |
(sqrt (/ h d)) |
(sqrt (/ d (* h l))) |
(sqrt (/ (pow d 5) h)) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* (pow d 3) (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt d) (pow (sqrt -1) 2))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt (/ (pow d 5) h)) (pow (sqrt -1) 2))) |
(* -1 (* (pow d 3) (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(* -1 (* (sqrt (/ d (* h l))) (pow (sqrt -1) 2))) |
(* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(sqrt (* h l)) |
(* h l) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
(/ (+ (sqrt (* (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d (pow h 3)))))) h) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) 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 (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))) |
(* h (+ (sqrt (/ (pow d 5) (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ d h)))))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))) |
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))) |
(* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))) |
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))) |
(* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (* d h)))) |
(* -1 (* h (+ (* -1 (* (sqrt (/ (pow d 5) (pow h 3))) (pow (sqrt -1) 2))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ d h))))))) |
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (sqrt (/ d (* h l))) (pow (sqrt -1) 2)) |
(* (sqrt (/ (pow d 5) h)) (pow (sqrt -1) 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (* d h)))) (* (sqrt (/ (pow d 5) h)) l)) l) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) l)) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(+ (* -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))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) 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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (* d h)))) (* (/ 1 (pow M 2)) (sqrt (/ (pow d 5) h))))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) 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) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (* d h)))) (* (/ 1 (pow D 2)) (sqrt (/ (pow d 5) h))))) |
| Outputs |
|---|
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) (/.f64 (*.f64 D D) l)) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(/ d l) |
(/.f64 d l) |
(* -1/4 (/ (* D (* M h)) (* d l))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 M D)) l) (/.f64 h d)) |
(sqrt d) |
(sqrt.f64 d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) l) #s(literal -1/8 binary64))) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h)))) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (*.f64 h d)))) |
(+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) l) #s(literal -1/8 binary64))) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) |
(* 1/4 (/ (* D M) d)) |
(*.f64 (/.f64 (*.f64 M D) d) #s(literal 1/4 binary64)) |
(sqrt (/ h d)) |
(sqrt.f64 (/.f64 h d)) |
(sqrt (/ d (* h l))) |
(sqrt.f64 (/.f64 (/.f64 d l) h)) |
(sqrt (/ (pow d 5) h)) |
(sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)))) d) |
(* (pow d 3) (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d)))) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) d) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) d) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) d) |
(* -1 (* (sqrt d) (pow (sqrt -1) 2))) |
(sqrt.f64 d) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64))))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) l)))) d) |
(* -1 (* (sqrt (/ (pow d 5) h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h)) |
(* -1 (* (pow d 3) (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 h d))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64))))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) l)))) (pow.f64 d #s(literal 3 binary64))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
(* -1 (* (sqrt (/ d (* h l))) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 (/.f64 d l) h)) |
(* 1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 l h)) |
(* h l) |
(*.f64 l h) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h) |
(/ (+ (sqrt (* (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d (pow h 3)))))) h) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) d)) (sqrt.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) h))) h) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h) |
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) h))) (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64))))) h) |
(* h (+ (sqrt (/ (pow d 5) (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ d h)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 h #s(literal 3 binary64))))) h) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 d h))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) d))) |
(* -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))))))))) |
(*.f64 (neg.f64 h) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d))) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 l h)) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))) |
(*.f64 (*.f64 (*.f64 (neg.f64 M) M) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 D D))) (/.f64 #s(literal -1/8 binary64) l)) |
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))) |
(*.f64 (neg.f64 h) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) h))) (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64)))))) |
(* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))) |
(*.f64 (neg.f64 h) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) h))) (*.f64 D D)) (*.f64 (neg.f64 M) (/.f64 M l))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64)))))) |
(* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (* d h)))) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (*.f64 h d)))) |
(* -1 (* h (+ (* -1 (* (sqrt (/ (pow d 5) (pow h 3))) (pow (sqrt -1) 2))) (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ d h))))))) |
(*.f64 (neg.f64 h) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 d h))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) l)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 h #s(literal 3 binary64)))))) |
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 h d)) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* (sqrt (/ d (* h l))) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 (/.f64 d l) h))) |
(* (sqrt (/ (pow d 5) h)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) |
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 d h)) l)) l) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (* d h)))) (* (sqrt (/ (pow d 5) h)) l)) l) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (*.f64 h d)) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h)) l)) l) |
(* -1/8 (/ (* (pow D 2) (pow M 2)) l)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 d 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))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 l d)) (*.f64 h (/.f64 (*.f64 D D) d))) (*.f64 M M) #s(literal 1 binary64)) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (* d h)))) (* (/ 1 (pow M 2)) (sqrt (/ (pow d 5) h))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) l) #s(literal -1/8 binary64))) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h)) (/.f64 (*.f64 D D) l) #s(literal 1 binary64)) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (* d h)))) (* (/ 1 (pow D 2)) (sqrt (/ (pow d 5) h))))) |
(fma.f64 (*.f64 (*.f64 M M) (*.f64 (/.f64 (*.f64 D D) l) #s(literal -1/8 binary64))) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 473 |
| 0 | 148 | 457 |
| 1 | 483 | 421 |
| 2 | 3407 | 401 |
| 0 | 10002 | 394 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) 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 (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d)))) |
(/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 h d))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
(*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) |
(*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(sqrt.f64 d) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(sqrt.f64 (/.f64 h d)) |
(sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)) |
(sqrt.f64 (/.f64 (/.f64 d l) h)) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) |
(sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 d))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 d) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h))) |
(pow.f64 (/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 h)))) |
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 h)) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d)))) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(/.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 d #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 h d)))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h d) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (/.f64 h d)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) |
(sqrt.f64 (/.f64 d h)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 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 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64))) #s(literal 1/4 binary64))) |
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(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/2 binary64)) (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (/.f64 d h) l)) #s(literal 1/2 binary64) (*.f64 (log.f64 d) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 d) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 (/.f64 d h) l)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(*.f64 (pow.f64 (*.f64 (/.f64 h d) l) #s(literal -1/4 binary64)) (pow.f64 (*.f64 (/.f64 h d) l) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (neg.f64 d) l)) (sqrt.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d l))) |
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (/.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (sqrt.f64 h))) |
(*.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (pow.f64 l #s(literal -1 binary64)) h))) |
(*.f64 (sqrt.f64 d) (sqrt.f64 (pow.f64 (*.f64 l h) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 d h) l))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 d h) l))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 d h) l) (/.f64 (/.f64 d h) l)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 h d) l)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (/.f64 h d) l) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 h d) l) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (/.f64 d h) l) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) (pow.f64 h #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 l))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 d l) #s(literal 1 binary64))) (sqrt.f64 h)) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (neg.f64 l) h))) |
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 (*.f64 l h))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (*.f64 (/.f64 h d) l)))) |
(/.f64 (sqrt.f64 (/.f64 (neg.f64 d) l)) (sqrt.f64 (neg.f64 h))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 (*.f64 l h)))) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (*.f64 h (neg.f64 l)))) |
(/.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 l d))) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 d l))) (neg.f64 (sqrt.f64 h))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 (*.f64 l h))) |
(/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (neg.f64 (neg.f64 h)))) |
(/.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 h)) |
(/.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 l)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (/.f64 h d) l) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 l h) d))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 l d) h))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (/.f64 h d) l))) |
(sqrt.f64 (/.f64 (/.f64 d h) l)) |
(exp.f64 (-.f64 (*.f64 (log.f64 d) #s(literal 1/2 binary64)) (*.f64 (log.f64 (*.f64 l h)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 d h) l)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M))) (*.f64 (/.f64 D d) M)) |
(*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)) M) (/.f64 D d))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M)) |
(*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 #s(literal -1/2 binary64) (/.f64 h l))) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 (/.f64 d h) l))) (sqrt.f64 d)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 d)) (sqrt.f64 (/.f64 (/.f64 d h) l))) |
(*.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M)) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)) M) (/.f64 D d))) |
(*.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)) (*.f64 (*.f64 (/.f64 D d) M) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M)))) |
(*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M)) (*.f64 (*.f64 (/.f64 D d) M) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (/.f64 d h) l)) (*.f64 (sqrt.f64 d) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 (/.f64 d h) l)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)) M) (/.f64 D d)) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M)))) |
(*.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M)))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)) M) (/.f64 D d)) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M)))) |
(*.f64 (*.f64 (/.f64 (*.f64 D D) l) (*.f64 #s(literal -1/8 binary64) M)) M) |
(*.f64 (*.f64 (/.f64 (*.f64 D D) l) #s(literal -1/8 binary64)) (*.f64 M M)) |
(*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) D) (/.f64 D l)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) #s(literal -1/8 binary64)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) M) (*.f64 M (/.f64 (*.f64 D D) l))) |
(*.f64 (/.f64 (*.f64 D D) l) (*.f64 (*.f64 M M) #s(literal -1/8 binary64))) |
(*.f64 (*.f64 D D) (*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (*.f64 M M) #s(literal -1/8 binary64)))) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l)) |
(*.f64 (*.f64 M M) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 D D) l))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l)) |
(*.f64 D (*.f64 (/.f64 D l) (*.f64 (*.f64 M M) #s(literal -1/8 binary64)))) |
(pow.f64 (/.f64 l (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 D) D) (*.f64 (*.f64 M M) #s(literal -1/8 binary64))) (neg.f64 l)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 M M) #s(literal -1/8 binary64))) (/.f64 l (*.f64 D D))) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (neg.f64 D) D)) (neg.f64 l)) |
(/.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (/.f64 l (*.f64 D D))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64)))) (neg.f64 l)) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) l) |
(/.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 l (*.f64 D D))) |
(/.f64 #s(literal 1 binary64) (/.f64 l (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5/2 binary64)) (sqrt.f64 h))) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5/2 binary64)) (sqrt.f64 h)))) |
(*.f64 (pow.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64))) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (pow.f64 (neg.f64 h) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 d #s(literal 5/4 binary64)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5/2 binary64)) h))) |
(*.f64 (pow.f64 d #s(literal 5/4 binary64)) (sqrt.f64 (*.f64 (pow.f64 d #s(literal 5/2 binary64)) (pow.f64 h #s(literal -1 binary64))))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 d #s(literal 5/2 binary64))) |
(*.f64 (pow.f64 d #s(literal 5/2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 5/2 binary64)) (sqrt.f64 h))) |
(pow.f64 (pow.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 5/2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64))) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (pow.f64 d #s(literal 5/2 binary64)) (sqrt.f64 h)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 d #s(literal 5/2 binary64)) (/.f64 (pow.f64 d #s(literal 5/2 binary64)) (sqrt.f64 h)))) (sqrt.f64 (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (*.f64 (/.f64 (pow.f64 d #s(literal 5/2 binary64)) (sqrt.f64 h)) (pow.f64 d #s(literal 5/2 binary64)))) (sqrt.f64 (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) #s(literal 1 binary64))) (sqrt.f64 h)) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (pow.f64 d #s(literal 5 binary64))))) (sqrt.f64 (neg.f64 (neg.f64 h)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))))) |
(/.f64 (neg.f64 (pow.f64 d #s(literal 5/2 binary64))) (neg.f64 (sqrt.f64 h))) |
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (neg.f64 h))) |
(/.f64 (pow.f64 d #s(literal 5/2 binary64)) (sqrt.f64 h)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 h) (pow.f64 d #s(literal 5/2 binary64)))) |
(sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h)) |
(fabs.f64 (/.f64 (pow.f64 d #s(literal 5/2 binary64)) (sqrt.f64 h))) |
(exp.f64 (log.f64 (/.f64 (pow.f64 d #s(literal 5/2 binary64)) (sqrt.f64 h)))) |
Compiled 35 331 to 2 773 computations (92.2% saved)
51 alts after pruning (49 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 719 | 24 | 743 |
| Fresh | 12 | 25 | 37 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 735 | 51 | 786 |
| Status | Accuracy | Program |
|---|---|---|
| 38.5% | (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 31.1% | (fma.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)) M) (/.f64 D d))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 30.7% | (fma.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M)) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)) M) (/.f64 D d)) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 22.3% | (fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) (neg.f64 d)) l) (*.f64 #s(literal -1/2 binary64) (*.f64 M (/.f64 D d)))) (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) | |
| 23.4% | (fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M))) l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) | |
| 40.3% | (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l)) | |
| 24.0% | (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) #s(literal 1 binary64))) | |
| 34.7% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) | |
| ▶ | 31.2% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
| 36.9% | (/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)))) (sqrt.f64 h)) | |
| 37.3% | (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 52.3% | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 20.8% | (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (*.f64 (pow.f64 d #s(literal -2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (*.f64 h d)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) (/.f64 (pow.f64 d #s(literal 5/2 binary64)) (sqrt.f64 h))))))) | |
| 63.4% | (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 65.4% | (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) (neg.f64 d)) l) (*.f64 M (/.f64 D d))) (*.f64 #s(literal 1/2 binary64) h) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 65.6% | (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 M d) l) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 63.7% | (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 63.9% | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 34.8% | (*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) | |
| 37.4% | (*.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 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) | |
| 64.9% | (*.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 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) | |
| ▶ | 65.7% | (*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
| 37.4% | (*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) | |
| 62.8% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) | |
| 27.9% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 18.0% | (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) l) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) | |
| 16.3% | (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) D) (/.f64 D l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) | |
| 17.6% | (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) d)) (sqrt.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) h))) h)) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) | |
| 11.4% | (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (*.f64 h d))))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) | |
| 40.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) | |
| 36.8% | #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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))))) | |
| ▶ | 7.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) |
| 16.0% | #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 h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) | |
| 19.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) | |
| 28.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (pow.f64 (pow.f64 (*.f64 l h) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) | |
| 27.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) | |
| ✓ | 28.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 28.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) | |
| 29.7% | #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) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d))))) | |
| 2.7% | #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 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d)) | |
| 28.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) | |
| 17.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| ▶ | 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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) |
| 36.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) | |
| ✓ | 28.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 22.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) | |
| 27.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)) | |
| 32.8% | #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 l) h) d))) | |
| 33.6% | #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) l) d))) | |
| ▶ | 41.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
Compiled 4 224 to 2 840 computations (32.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) | |
| cost-diff | 0 | (/.f64 (pow.f64 h #s(literal -1 binary64)) l) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) 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 (pow.f64 h #s(literal -1 binary64)) l)) d)) | |
| cost-diff | 0 | (/.f64 d l) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 d l)) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d))))) | |
| cost-diff | 0 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 l h)) | |
| cost-diff | 0 | (/.f64 d (sqrt.f64 (*.f64 l h))) | |
| cost-diff | 0 | (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| cost-diff | 0 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d))) | |
| cost-diff | 320 | (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) | |
| cost-diff | 5824 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 528 |
| 0 | 123 | 519 |
| 1 | 216 | 507 |
| 2 | 531 | 507 |
| 3 | 2702 | 507 |
| 4 | 5604 | 507 |
| 0 | 8440 | 502 |
| 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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 D #s(literal 1/2 binary64)) |
D |
(/.f64 M d) |
M |
(/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d) |
(*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) |
(*.f64 M D) |
(*.f64 #s(literal 1/2 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
d |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
l |
h |
#s(approx (* (* (pow (/ 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)) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) |
(/.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
d |
l |
#s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h 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 (pow.f64 h #s(literal -1 binary64)) l)) d)) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d) |
(sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) |
(/.f64 (pow.f64 h #s(literal -1 binary64)) l) |
(pow.f64 h #s(literal -1 binary64)) |
h |
#s(literal -1 binary64) |
l |
d |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
#s(literal -1/2 binary64) |
(/.f64 h l) |
h |
l |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
(/.f64 #s(literal 2 binary64) M) |
#s(literal 2 binary64) |
M |
(/.f64 d D) |
d |
D |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(sqrt.f64 (neg.f64 d)) |
(neg.f64 d) |
(sqrt.f64 (neg.f64 l)) |
(neg.f64 l) |
| 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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (/.f64 (/.f64 M d) l) M)) (*.f64 (*.f64 (/.f64 h d) #s(literal 1/2 binary64)) D) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) |
(*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) D) (*.f64 (/.f64 (/.f64 M d) l) M)) (*.f64 (*.f64 (/.f64 h d) #s(literal 1/2 binary64)) D) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)) |
(*.f64 (*.f64 (*.f64 (/.f64 h d) #s(literal 1/2 binary64)) (/.f64 (*.f64 M D) l)) (*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) D)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) |
(*.f64 (*.f64 (/.f64 (/.f64 M d) l) #s(literal 1/4 binary64)) D) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) |
(*.f64 (*.f64 (/.f64 M d) #s(literal 1/4 binary64)) D) |
(*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/4 binary64) D) |
#s(literal 1/2 binary64) |
(*.f64 D #s(literal 1/2 binary64)) |
D |
(/.f64 M d) |
M |
(/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d) |
(*.f64 (*.f64 (*.f64 (/.f64 h d) #s(literal 1/2 binary64)) D) M) |
(*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) |
(*.f64 (*.f64 h M) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 M D) |
(*.f64 #s(literal 1/2 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
d |
(sqrt.f64 (*.f64 l h)) |
(*.f64 l h) |
l |
h |
#s(approx (* (* (pow (/ 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)) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) |
(/.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
d |
l |
#s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
(sqrt.f64 (/.f64 h d)) |
(/.f64 h 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 (pow.f64 h #s(literal -1 binary64)) l)) d)) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d) |
(sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) |
(/.f64 (pow.f64 h #s(literal -1 binary64)) l) |
(pow.f64 h #s(literal -1 binary64)) |
h |
#s(literal -1 binary64) |
l |
d |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) (sqrt.f64 (/.f64 d h))) (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) |
(*.f64 (*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 d h))) (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 h l)) |
(*.f64 (/.f64 h l) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 h l) |
h |
l |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
(*.f64 (/.f64 (/.f64 d D) M) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) M) |
#s(literal 2 binary64) |
M |
(/.f64 d D) |
d |
D |
#s(literal -2 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 d h)) |
(/.f64 d h) |
(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 | 1.6881307812297148 | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) | |
| accuracy | 1.9327700952774582 | (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) | |
| accuracy | 3.3898286836446627 | (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) | |
| accuracy | 6.266767487941097 | (sqrt.f64 (/.f64 d h)) | |
| accuracy | 0.09375 | (/.f64 (pow.f64 h #s(literal -1 binary64)) l) | |
| accuracy | 0.109375 | (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d) | |
| accuracy | 6.644456451634789 | (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) | |
| accuracy | 28.535294060617257 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) | |
| accuracy | 6.310280842360166 | (sqrt.f64 (/.f64 d l)) | |
| accuracy | 6.445902586993963 | (sqrt.f64 (/.f64 h d)) | |
| accuracy | 16.898066809906684 | #s(approx (* (* (pow (/ 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)) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) | |
| accuracy | 29.74194538064448 | #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) | |
| accuracy | 0.0 | (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| accuracy | 0.08984375 | (/.f64 d (sqrt.f64 (*.f64 l h))) | |
| accuracy | 6.625042538881471 | (sqrt.f64 (*.f64 l h)) | |
| accuracy | 16.898066809906684 | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) | |
| accuracy | 3.7755070369447727 | (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) | |
| accuracy | 4.036436180868772 | (*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) | |
| accuracy | 6.266767487941097 | (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) | |
| accuracy | 6.310280842360166 | (sqrt.f64 (/.f64 d l)) |
| 81.0ms | 135× | 0 | invalid |
| 68.0ms | 121× | 0 | valid |
Compiled 1 069 to 147 computations (86.2% saved)
ival-mult: 47.0ms (40.7% of total)ival-div: 28.0ms (24.3% of total)ival-pow: 18.0ms (15.6% of total)ival-sqrt: 11.0ms (9.5% of total)ival-neg: 3.0ms (2.6% of total)ival-sub: 2.0ms (1.7% of total)ival-pow2: 2.0ms (1.7% of total)ival-add: 1.0ms (0.9% of total)ival-fabs: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (*.f64 l h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) |
(/.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d) |
(sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) |
(/.f64 (pow.f64 h #s(literal -1 binary64)) l) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) |
#s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) |
(sqrt.f64 (/.f64 h d)) |
(sqrt.f64 (/.f64 d h)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
| Outputs |
|---|
(sqrt (/ d h)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(* -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) |
(fabs (* d (sqrt (/ 1 (* h l))))) |
(* d (sqrt (/ 1 (* h l)))) |
(sqrt (/ d l)) |
(/ d l) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) (* d l)) (sqrt h))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) l) (sqrt h))) (* (* (pow d 2) (sqrt -1)) (sqrt (/ 1 h)))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(* 1/4 (/ (* D M) (* d l))) |
(sqrt (/ h d)) |
(* 2 (/ d (* D M))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* (* d (sqrt -1)) (sqrt (/ 1 h))) |
(* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) (* (pow d 2) l)) (sqrt h))) (* (sqrt (/ 1 h)) (sqrt -1)))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 h)))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) (* (pow d 2) l)) (sqrt h))) (* (sqrt (/ 1 h)) (sqrt -1))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(sqrt (* h l)) |
(sqrt (/ 1 (* h l))) |
(/ 1 (* h l)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) (* d l)) (sqrt (pow h 3)))) (* (* d (sqrt -1)) (sqrt h))) h) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) 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) (sqrt -1))) (* d l)) (sqrt (/ 1 h)))) (* (* d (sqrt -1)) (sqrt (/ 1 (pow h 3)))))) |
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 3))) (* d l)) (sqrt h))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 3)) (sqrt (/ 1 (pow h 3))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 3))) (* d l)) (sqrt (/ 1 h))))))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))) |
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))) |
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) d) (sqrt h))) (* (* d (* l (sqrt -1))) (sqrt (/ 1 h)))) l) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l) |
(/ (+ 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))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) (* d l)) (sqrt h))) (* (* d (sqrt -1)) (sqrt (/ 1 h)))) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
(+ (* -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))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) 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) (sqrt -1)) (* d l)) (sqrt h))) (* (/ (* d (sqrt -1)) (pow M 2)) (sqrt (/ 1 h))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* 1/4 D) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) 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) (sqrt -1)) (* d l)) (sqrt h))) (* (/ (* d (sqrt -1)) (pow D 2)) (sqrt (/ 1 h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | h | @ | -inf | ((pow (/ d h) (/ 1 2)) (/ 1 2) (* 1/2 (* D 1/2)) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ d l)) (sqrt (/ h d))) (sqrt (/ d l)) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ (pow h -1) l)) d) (sqrt (/ (pow h -1) l)) (/ (pow h -1) l) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d)))) (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (sqrt (/ h d)) (sqrt (/ h d)) (sqrt (/ d h)) (* (/ 2 M) (/ d D))) |
| 21.0ms | D | @ | 0 | ((pow (/ d h) (/ 1 2)) (/ 1 2) (* 1/2 (* D 1/2)) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ d l)) (sqrt (/ h d))) (sqrt (/ d l)) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ (pow h -1) l)) d) (sqrt (/ (pow h -1) l)) (/ (pow h -1) l) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d)))) (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (sqrt (/ h d)) (sqrt (/ h d)) (sqrt (/ d h)) (* (/ 2 M) (/ d D))) |
| 6.0ms | d | @ | 0 | ((pow (/ d h) (/ 1 2)) (/ 1 2) (* 1/2 (* D 1/2)) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ d l)) (sqrt (/ h d))) (sqrt (/ d l)) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ (pow h -1) l)) d) (sqrt (/ (pow h -1) l)) (/ (pow h -1) l) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d)))) (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (sqrt (/ h d)) (sqrt (/ h d)) (sqrt (/ d h)) (* (/ 2 M) (/ d D))) |
| 6.0ms | d | @ | -inf | ((pow (/ d h) (/ 1 2)) (/ 1 2) (* 1/2 (* D 1/2)) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ d l)) (sqrt (/ h d))) (sqrt (/ d l)) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ (pow h -1) l)) d) (sqrt (/ (pow h -1) l)) (/ (pow h -1) l) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d)))) (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (sqrt (/ h d)) (sqrt (/ h d)) (sqrt (/ d h)) (* (/ 2 M) (/ d D))) |
| 5.0ms | l | @ | -inf | ((pow (/ d h) (/ 1 2)) (/ 1 2) (* 1/2 (* D 1/2)) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d))) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs (/ d (sqrt (* l h)))) (/ d (sqrt (* l h))) (sqrt (* l h)) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/ (sqrt (/ d l)) (sqrt (/ h d))) (sqrt (/ d l)) (/ d l) (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (* (sqrt (/ (pow h -1) l)) d) (sqrt (/ (pow h -1) l)) (/ (pow h -1) l) (/ (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (sqrt (neg l))) (* (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (sqrt (neg d))) (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (* (* (pow (/ d h) (/ 1 2)) (sqrt (/ d l))) (- 1 (* (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (/ (* (* M D) (* 1/2 h)) d)))) (/ (* (* 1/2 (* D 1/2)) (/ M d)) l) (sqrt (/ h d)) (sqrt (/ h d)) (sqrt (/ d h)) (* (/ 2 M) (/ d D))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 326 | 1565 |
| 1 | 970 | 1475 |
| 2 | 3624 | 1457 |
| 3 | 7228 | 1449 |
| 0 | 8108 | 1408 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt (/ d h)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(* -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) |
(fabs (* d (sqrt (/ 1 (* h l))))) |
(* d (sqrt (/ 1 (* h l)))) |
(sqrt (/ d l)) |
(/ d l) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) (* d l)) (sqrt h))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) l) (sqrt h))) (* (* (pow d 2) (sqrt -1)) (sqrt (/ 1 h)))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(* 1/4 (/ (* D M) (* d l))) |
(sqrt (/ h d)) |
(* 2 (/ d (* D M))) |
1 |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(* (* d (sqrt -1)) (sqrt (/ 1 h))) |
(* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) (* (pow d 2) l)) (sqrt h))) (* (sqrt (/ 1 h)) (sqrt -1)))) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 h)))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) (* (pow d 2) l)) (sqrt h))) (* (sqrt (/ 1 h)) (sqrt -1))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(sqrt (* h l)) |
(sqrt (/ 1 (* h l))) |
(/ 1 (* h l)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) (* d l)) (sqrt (pow h 3)))) (* (* d (sqrt -1)) (sqrt h))) h) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) 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) (sqrt -1))) (* d l)) (sqrt (/ 1 h)))) (* (* d (sqrt -1)) (sqrt (/ 1 (pow h 3)))))) |
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow h 3) l))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ 1 (* h (pow l 3))))))))) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 3))) (* d l)) (sqrt h))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 3)) (sqrt (/ 1 (pow h 3))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 3))) (* d l)) (sqrt (/ 1 h))))))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))) |
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))) |
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 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 l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) d) (sqrt h))) (* (* d (* l (sqrt -1))) (sqrt (/ 1 h)))) l) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l) |
(/ (+ 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))))) (* d (sqrt (/ 1 (* h l))))) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) (* d l)) (sqrt h))) (* (* d (sqrt -1)) (sqrt (/ 1 h)))) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
(+ (* -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))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) 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) (sqrt -1)) (* d l)) (sqrt h))) (* (/ (* d (sqrt -1)) (pow M 2)) (sqrt (/ 1 h))))) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(* 1/4 D) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) 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) (sqrt -1)) (* d l)) (sqrt h))) (* (/ (* d (sqrt -1)) (pow D 2)) (sqrt (/ 1 h))))) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
| Outputs |
|---|
(sqrt (/ d h)) |
(sqrt.f64 (/.f64 d h)) |
(* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) l) d)) |
(/ (- (pow d 2) (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) l))) (pow d 2)) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) l) d) #s(literal 1 binary64)) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow l 3))))) (* (pow d 2) (sqrt (/ 1 (* h l))))) d) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d) |
(fabs (* d (sqrt (/ 1 (* h l))))) |
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(* d (sqrt (/ 1 (* h l)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(sqrt (/ d l)) |
(sqrt.f64 (/.f64 d l)) |
(/ d l) |
(/.f64 d l) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) (* d l)) (sqrt h))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) l) (*.f64 (/.f64 (*.f64 M M) d) (*.f64 D D)))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) l) (sqrt h))) (* (* (pow d 2) (sqrt -1)) (sqrt (/ 1 h)))) d) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (*.f64 d d)) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) M) M) (/.f64 (*.f64 D D) l)))) d) |
(* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3))))) |
(*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))))) |
(/ (+ (sqrt (/ (pow d 5) h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (* d h))))) (pow d 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d)) |
(/ (+ (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) l)) (pow d 2)) (pow d 2)) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) l) d) #s(literal 1 binary64)) |
(* 1/4 (/ (* D M) (* d l))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) M) l) (/.f64 D d)) |
(sqrt (/ h d)) |
(sqrt.f64 (/.f64 h d)) |
(* 2 (/ d (* D M))) |
(*.f64 (/.f64 d (*.f64 M D)) #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (* (pow d 2) l)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) l) d) #s(literal 1 binary64)) |
(* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) d) |
(* (* d (sqrt -1)) (sqrt (/ 1 h))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) |
(* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) (* (pow d 2) l)) (sqrt h))) (* (sqrt (/ 1 h)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) d) d) (*.f64 (/.f64 (*.f64 M M) l) (*.f64 D D))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 #s(literal -1 binary64)))) d) |
(* d (+ (sqrt (/ 1 (* d h))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 5))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) d))) d) |
(* -1 (* (sqrt (/ d h)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d h)) |
(* -1 (* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) (pow d 2)) (sqrt (/ h (pow l 3))))) (* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) d) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) d))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) d) |
(* -1 (* d (sqrt (/ 1 (* h l))))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1 (* (sqrt (/ d l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 d l)) |
(* -1 (* d (+ (sqrt (/ 1 (* h l))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) (pow d 2)) (sqrt (/ h (pow l 3)))))))) |
(*.f64 (neg.f64 d) (fma.f64 (/.f64 #s(literal -1/8 binary64) d) (*.f64 (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(* -1 (* (* d (sqrt -1)) (sqrt (/ 1 h)))) |
(*.f64 (neg.f64 d) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) (* (pow d 2) l)) (sqrt h))) (* (sqrt (/ 1 h)) (sqrt -1))))) |
(*.f64 (neg.f64 d) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) d) d) (*.f64 (/.f64 (*.f64 M M) l) (*.f64 D D))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) h)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* d (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 5))))) (* (sqrt (/ 1 (* d h))) (pow (sqrt -1) 2))))) |
(*.f64 (-.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) h) d)) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 5 binary64))))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) l)))) d) |
(* (sqrt (/ h d)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 h d))) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ (pow h 3) (pow l 3))))) (* d (sqrt (/ h l)))) h) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h) |
(sqrt (* h l)) |
(sqrt.f64 (*.f64 l h)) |
(sqrt (/ 1 (* h l))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) |
(/ 1 (* h l)) |
(/.f64 #s(literal 1 binary64) (*.f64 l h)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) (* d l)) (sqrt (pow h 3)))) (* (* d (sqrt -1)) (sqrt h))) h) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 h) (sqrt.f64 #s(literal -1 binary64))) d (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) M) l) (/.f64 M d))) (sqrt.f64 (pow.f64 h #s(literal 3 binary64))))) h) |
(/ (+ (sqrt (* d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ (pow h 3) (pow d 3)))))) h) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (pow.f64 (/.f64 h d) #s(literal 3 binary64))) (sqrt.f64 (*.f64 h d))) h) |
(* h (- (/ 1 h) (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) l) d) #s(literal 1 binary64)) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ 1 (* h (pow l 3)))))) (* d (sqrt (/ 1 (* (pow h 3) l)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d)) h) |
(* h (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) (* d l)) (sqrt (/ 1 h)))) (* (* d (sqrt -1)) (sqrt (/ 1 (pow h 3)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 h #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) d (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) M) l) (/.f64 M d))) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))) h) |
(* h (+ (sqrt (/ d (pow h 3))) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ 1 (* (pow d 3) h))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) h))) (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64))))) h) |
(* h (+ (* -1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) l) d) #s(literal 1 binary64)) |
(* (sqrt (/ d h)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 d h))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) d) (sqrt (/ h (pow l 3))))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) d))) |
(* -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))))))))) |
(*.f64 (neg.f64 h) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 l #s(literal 3 binary64)) h))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 h #s(literal 3 binary64)) l))) d))) |
(* -1 (* (sqrt (* h l)) (pow (sqrt -1) 2))) |
(sqrt.f64 (*.f64 l h)) |
(* (* d (pow (sqrt -1) 2)) (sqrt (/ 1 (* h l)))) |
(*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* (sqrt (/ 1 (* h l))) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h)))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 3))) (* d l)) (sqrt h))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 M M)) (/.f64 (/.f64 (*.f64 D D) l) d))) |
(* -1 (* h (+ (* -1 (* (* d (pow (sqrt -1) 3)) (sqrt (/ 1 (pow h 3))))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 3))) (* d l)) (sqrt (/ 1 h))))))) |
(*.f64 (neg.f64 h) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 h #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) d (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 D D) d)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (*.f64 M M) l))) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))))) |
(* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ h (pow d 3))))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) l))) |
(* -1 (* h (+ (* -1 (* (sqrt (/ d (pow h 3))) (pow (sqrt -1) 2))) (* 1/8 (* (/ (* (pow D 2) (* (pow M 2) (pow (sqrt -1) 2))) l) (sqrt (/ 1 (* (pow d 3) h)))))))) |
(*.f64 (neg.f64 h) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 d #s(literal 3 binary64)) h))) (sqrt.f64 (/.f64 d (pow.f64 h #s(literal 3 binary64)))))) |
(* -1 (* h (- (* 1/8 (/ (* (pow D 2) (pow M 2)) (* (pow d 2) l))) (/ 1 h)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) l) d) #s(literal 1 binary64)) |
(* -1 (* (sqrt (/ h d)) (pow (sqrt -1) 2))) |
(sqrt.f64 (/.f64 h d)) |
(/ (- l (* 1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) l) d) #s(literal 1 binary64)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (* h l)))) (* d (sqrt (/ (pow l 3) h)))) (pow l 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (*.f64 l h)) (*.f64 (sqrt.f64 (/.f64 (pow.f64 l #s(literal 3 binary64)) h)) d)) (*.f64 l l)) |
(/ (+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) d) (sqrt h))) (* (* d (* l (sqrt -1))) (sqrt (/ 1 h)))) l) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (*.f64 (/.f64 (*.f64 D D) d) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) M) M)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) l) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))) l) |
(/ (+ (* -1/8 (* (* (pow D 2) (pow M 2)) (sqrt (/ h (pow d 3))))) (* (sqrt (/ d h)) l)) l) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 d h)) l)) l) |
(/ (+ l (* -1/8 (/ (* (pow D 2) (* (pow M 2) h)) (pow d 2)))) l) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) l) d) #s(literal 1 binary64)) |
(+ (* -1/8 (* (/ (* (pow D 2) (pow M 2)) d) (sqrt (/ h (pow l 3))))) (* d (sqrt (/ 1 (* h l))))) |
(fma.f64 (*.f64 (*.f64 D D) (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64))) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
(+ (* -1/8 (* (/ (* (pow D 2) (* (pow M 2) (sqrt -1))) (* d l)) (sqrt h))) (* (* d (sqrt -1)) (sqrt (/ 1 h)))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) l) (*.f64 (/.f64 (*.f64 M M) d) (*.f64 D D))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h)))) |
(+ (sqrt (/ d h)) (* -1/8 (* (/ (* (pow D 2) (pow M 2)) l) (sqrt (/ h (pow d 3)))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(+ (* -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))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))) (*.f64 (*.f64 (neg.f64 M) M) (/.f64 (*.f64 D D) d)) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
(* (sqrt (/ d l)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 d l))) |
(* (pow M 2) (- (/ 1 (pow M 2)) (* 1/8 (/ (* (pow D 2) h) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) l) d) #s(literal 1 binary64)) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow M 2)) (sqrt (/ 1 (* h l)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 D D) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 M M)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 M M)) |
(* (pow M 2) (+ (* -1/8 (* (/ (* (pow D 2) (sqrt -1)) (* d l)) (sqrt h))) (* (/ (* d (sqrt -1)) (pow M 2)) (sqrt (/ 1 h))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) D) l) (/.f64 D d)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) (*.f64 M M))) (*.f64 M M)) |
(* (pow M 2) (+ (* -1/8 (* (/ (pow D 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow M 2)) (sqrt (/ d h))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(* (pow M 2) (+ (* -1/8 (/ (* (pow D 2) h) (* (pow d 2) l))) (/ 1 (pow M 2)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) l) d) #s(literal 1 binary64)) |
(* 1/4 D) |
(*.f64 #s(literal 1/4 binary64) D) |
(* (pow D 2) (- (/ 1 (pow D 2)) (* 1/8 (/ (* (pow M 2) h) (* (pow d 2) l))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) l) d) #s(literal 1 binary64)) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) d) (sqrt (/ h (pow l 3))))) (* (/ d (pow D 2)) (sqrt (/ 1 (* h l)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 M M) d) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 D D)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) (*.f64 D D)) |
(* (pow D 2) (+ (* -1/8 (* (/ (* (pow M 2) (sqrt -1)) (* d l)) (sqrt h))) (* (/ (* d (sqrt -1)) (pow D 2)) (sqrt (/ 1 h))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 h)) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) M) l) (/.f64 M d)) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) d) (sqrt.f64 (/.f64 #s(literal 1 binary64) h))) (*.f64 D D))) (*.f64 D D)) |
(* (pow D 2) (+ (* -1/8 (* (/ (pow M 2) l) (sqrt (/ h (pow d 3))))) (* (/ 1 (pow D 2)) (sqrt (/ d h))))) |
(fma.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (/.f64 h (pow.f64 d #s(literal 3 binary64))))) (sqrt.f64 (/.f64 d h))) |
(* (pow D 2) (+ (* -1/8 (/ (* (pow M 2) h) (* (pow d 2) l))) (/ 1 (pow D 2)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) l) d) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 373 |
| 0 | 123 | 363 |
| 1 | 377 | 343 |
| 2 | 2528 | 330 |
| 0 | 8195 | 330 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 d (sqrt.f64 (*.f64 l h))) |
(sqrt.f64 (*.f64 l h)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) |
(/.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d))))) |
(sqrt.f64 (/.f64 d l)) |
(/.f64 d l) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d) |
(sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) |
(/.f64 (pow.f64 h #s(literal -1 binary64)) l) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) |
#s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) |
(sqrt.f64 (/.f64 h d)) |
(sqrt.f64 (/.f64 d h)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (*.f64 d (pow.f64 h #s(literal -1/2 binary64)))) (pow.f64 h #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 d (pow.f64 h #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 d))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 d (neg.f64 h)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 d (neg.f64 h)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 d) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h))) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 h)))) |
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 h)) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h))) |
(/.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 d #s(literal -1/2 binary64))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d)))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h d) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) |
(sqrt.f64 (/.f64 d h)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 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 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/4 binary64) D) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 D #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 2 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) M) D)) (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D))) (*.f64 (/.f64 (/.f64 M d) l) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 (/.f64 M d) l) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D))) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l))) |
(+.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.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 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) |
(*.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (fabs.f64 d)) |
(*.f64 (fabs.f64 d) (fabs.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) #s(literal -1 binary64)))) |
(*.f64 (fabs.f64 d) (pow.f64 (*.f64 l h) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h)))) |
(pow.f64 (/.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d)) #s(literal -1 binary64)) |
(/.f64 (fabs.f64 (/.f64 d (sqrt.f64 l))) (fabs.f64 (sqrt.f64 h))) |
(/.f64 (fabs.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 (*.f64 l h))) |
(/.f64 (neg.f64 (fabs.f64 d)) (neg.f64 (sqrt.f64 (*.f64 l h)))) |
(/.f64 (fabs.f64 d) (sqrt.f64 (*.f64 l h))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 l h)) d) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) (fabs.f64 d))) |
(fabs.f64 (-.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 0 binary64))) |
(fabs.f64 (-.f64 (/.f64 (neg.f64 d) (sqrt.f64 (*.f64 l h))) (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (*.f64 l h)))))) |
(fabs.f64 (/.f64 (neg.f64 d) (sqrt.f64 (*.f64 l h)))) |
(fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (pow.f64 l #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) |
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(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 d l)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 l)) (/.f64 d (neg.f64 l))) |
(exp.f64 (*.f64 (log.f64 (/.f64 l d)) #s(literal -1 binary64))) |
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(fma.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 d h))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) d (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (pow.f64 (*.f64 h (/.f64 l d)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (sqrt.f64 d) (pow.f64 (pow.f64 (*.f64 h (/.f64 l d)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))))) |
(fma.f64 (neg.f64 d) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 l h))) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l)) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(fma.f64 d (pow.f64 (*.f64 l h) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(+.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) #s(literal 1 binary64)) (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))))) |
(+.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d))) (/.f64 d (sqrt.f64 (*.f64 l h))))) |
(*.f64 (pow.f64 (/.f64 l (*.f64 M (*.f64 #s(literal 1/4 binary64) D))) #s(literal -1 binary64)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 M d) l) (*.f64 #s(literal 1/4 binary64) D)) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 l #s(literal -1 binary64)) (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D))) |
(*.f64 (/.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (pow.f64 (neg.f64 l) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (pow.f64 l #s(literal -1 binary64))) |
(*.f64 (/.f64 M d) (/.f64 (*.f64 #s(literal 1/4 binary64) D) l)) |
(*.f64 (/.f64 M d) (*.f64 (*.f64 #s(literal 1/4 binary64) D) (pow.f64 l #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) D) (/.f64 (/.f64 M d) l)) |
(*.f64 (*.f64 D #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 M d) l))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 M d) (*.f64 D #s(literal 1/2 binary64))) l)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 M d) (*.f64 D #s(literal 1/2 binary64))) (pow.f64 l #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 D #s(literal 1/2 binary64)) (/.f64 (/.f64 M d) l))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 M d) l) (*.f64 #s(literal 1/4 binary64) D))) |
(pow.f64 (/.f64 (*.f64 (/.f64 l (*.f64 M (*.f64 #s(literal 1/4 binary64) D))) d) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 l (*.f64 M (*.f64 #s(literal 1/4 binary64) D))) d) #s(literal -1 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) #s(literal -1 binary64)) l) |
(/.f64 (*.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) (pow.f64 l #s(literal -1 binary64))) d) |
(/.f64 (neg.f64 (/.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 d))) (neg.f64 (neg.f64 l))) |
(/.f64 (*.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) (*.f64 l d)) |
(/.f64 (*.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) #s(literal 1 binary64)) l) |
(/.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) (*.f64 l d)) |
(/.f64 (/.f64 (*.f64 M (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 d)) (neg.f64 l)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 l (*.f64 M (*.f64 #s(literal 1/4 binary64) D))) d))) |
(/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) l) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 l (*.f64 M (*.f64 #s(literal 1/4 binary64) D))) d) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 l (*.f64 M (*.f64 #s(literal 1/4 binary64) D))) d)) |
(neg.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 l (*.f64 M (*.f64 #s(literal 1/4 binary64) D))) d)) #s(literal -1 binary64))) |
#s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) |
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 h))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 h))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 h d))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal 1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 h)) (pow.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 d #s(literal -1/2 binary64)) (sqrt.f64 h)) |
(*.f64 (sqrt.f64 h) (pow.f64 d #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 h d))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 h d) (/.f64 h d)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 h d) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 d h)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 d h) #s(literal -1/2 binary64)) |
(/.f64 (sqrt.f64 (/.f64 (neg.f64 h) #s(literal -1 binary64))) (sqrt.f64 d)) |
(/.f64 (sqrt.f64 (*.f64 h #s(literal 1 binary64))) (sqrt.f64 d)) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 h))) (sqrt.f64 (neg.f64 (neg.f64 d)))) |
(/.f64 (neg.f64 (sqrt.f64 h)) (neg.f64 (sqrt.f64 d))) |
(/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))) |
(/.f64 (pow.f64 d #s(literal -1/2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 d h)))) |
(/.f64 (sqrt.f64 h) (sqrt.f64 d)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 d h) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))) |
(sqrt.f64 (/.f64 h d)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 d (pow.f64 h #s(literal -1/2 binary64)))) (pow.f64 h #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 d #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 d (pow.f64 h #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 d))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 d h))) |
(*.f64 (pow.f64 h #s(literal -1/2 binary64)) (sqrt.f64 d)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 d (neg.f64 h)))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 d (neg.f64 h)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) |
(*.f64 (sqrt.f64 d) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (/.f64 #s(literal -1 binary64) h))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 d h))) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 h d)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 d h) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 (neg.f64 h)))) |
(/.f64 (sqrt.f64 (*.f64 d #s(literal 1 binary64))) (sqrt.f64 h)) |
(/.f64 (neg.f64 (sqrt.f64 d)) (neg.f64 (sqrt.f64 h))) |
(/.f64 (pow.f64 h #s(literal -1/2 binary64)) (pow.f64 d #s(literal -1/2 binary64))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 h d)))) |
(/.f64 (sqrt.f64 d) (sqrt.f64 h)) |
(/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 h d) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) |
(sqrt.f64 (/.f64 d h)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 h d)) #s(literal 1/2 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 (*.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 h d) #s(literal -1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d h)) #s(literal 1/2 binary64))) |
(*.f64 (exp.f64 (log.f64 (/.f64 d D))) (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) M)))) |
(*.f64 (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) M))) (exp.f64 (log.f64 (/.f64 d D)))) |
(*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) |
(*.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)) (pow.f64 M #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d) (pow.f64 D #s(literal -1 binary64))) |
(*.f64 (/.f64 d M) (/.f64 #s(literal 2 binary64) D)) |
(*.f64 (/.f64 d D) (/.f64 #s(literal 2 binary64) M)) |
(*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) |
(*.f64 (*.f64 #s(literal 2 binary64) d) (pow.f64 (*.f64 M D) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 d D) M)) |
(*.f64 #s(literal 2 binary64) (/.f64 d (*.f64 M D))) |
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 M (/.f64 D d)) #s(literal -1 binary64))) |
(*.f64 d (pow.f64 (*.f64 (*.f64 M D) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 d (/.f64 #s(literal 2 binary64) (*.f64 M D))) |
(pow.f64 (/.f64 M (*.f64 (/.f64 d D) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 D (*.f64 (/.f64 #s(literal 2 binary64) M) d)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d)) #s(literal -1 binary64)) |
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)))) (exp.f64 (log.f64 M))) |
(/.f64 (exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d))) (exp.f64 (log.f64 D))) |
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) d))) (exp.f64 (log.f64 (*.f64 M D)))) |
(/.f64 (*.f64 (neg.f64 d) (/.f64 #s(literal 2 binary64) M)) (neg.f64 D)) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 d D)) (neg.f64 M)) |
(/.f64 (*.f64 (/.f64 d D) #s(literal -2 binary64)) (neg.f64 M)) |
(/.f64 (*.f64 (/.f64 d D) #s(literal 1 binary64)) (*.f64 M #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (neg.f64 d)) (neg.f64 D)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) #s(literal 1 binary64)) (/.f64 D d)) |
(/.f64 (neg.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64))) (neg.f64 M)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d)) (neg.f64 D)) |
(/.f64 (*.f64 (neg.f64 d) #s(literal -2 binary64)) (*.f64 (neg.f64 D) (neg.f64 M))) |
(/.f64 (*.f64 (neg.f64 d) #s(literal 1 binary64)) (*.f64 (neg.f64 D) (*.f64 M #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 d #s(literal 1 binary64)) (*.f64 (*.f64 M D) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 d)) (*.f64 (neg.f64 M) (neg.f64 D))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 d)) (*.f64 (*.f64 M #s(literal 1/2 binary64)) (neg.f64 D))) |
(/.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 M #s(literal 1/2 binary64)) D)) |
(/.f64 (*.f64 (/.f64 d D) #s(literal 2 binary64)) M) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) d) D) |
(/.f64 (*.f64 #s(literal -2 binary64) d) (*.f64 (neg.f64 D) M)) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 D d) (neg.f64 M))) |
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 M) (/.f64 D d))) |
(/.f64 (/.f64 d D) (*.f64 M #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 D d)) |
(/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) |
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 D d) M)) |
(/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) |
(/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 (/.f64 d D) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 D (*.f64 (/.f64 #s(literal 2 binary64) M) d))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 D #s(literal 2 binary64)) (/.f64 M d))) |
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 2 binary64) D) (/.f64 d M)))) |
Compiled 32 653 to 2 985 computations (90.9% saved)
59 alts after pruning (55 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 699 | 23 | 722 |
| Fresh | 12 | 32 | 44 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 714 | 59 | 773 |
| Status | Accuracy | Program |
|---|---|---|
| 38.5% | (fma.f64 (/.f64 h l) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) | |
| 31.1% | (fma.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)) M) (/.f64 D d))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 30.7% | (fma.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M)) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)) M) (/.f64 D d)) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 23.4% | (fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M))) l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) | |
| 40.3% | (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l)) | |
| 24.4% | (/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 2 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64))) | |
| 34.7% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 h))) | |
| 27.4% | (/.f64 (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) l) d) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) | |
| 36.9% | (/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)))) (sqrt.f64 h)) | |
| 37.3% | (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 37.0% | (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) | |
| 20.8% | (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (*.f64 (pow.f64 d #s(literal -2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (*.f64 h d)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) (/.f64 (pow.f64 d #s(literal 5/2 binary64)) (sqrt.f64 h))))))) | |
| 63.4% | (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 65.4% | (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) (neg.f64 d)) l) (*.f64 M (/.f64 D d))) (*.f64 #s(literal 1/2 binary64) h) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 65.6% | (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 M d) l) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 64.5% | (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 63.7% | (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 65.4% | (*.f64 (*.f64 (pow.f64 (/.f64 h d) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) | |
| 37.4% | (*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) | |
| 37.4% | (*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) | |
| 65.4% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) | |
| 64.1% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) | |
| 65.7% | (*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) | |
| 27.9% | (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) | |
| 16.3% | (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) D) (/.f64 D l)) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) | |
| 17.6% | (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) d)) (sqrt.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) h))) h)) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) | |
| 11.4% | (*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (*.f64 h d))))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) | |
| 41.3% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) | |
| 2.7% | #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 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) | |
| 3.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h 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 (/.f64 d (sqrt.f64 l)) (sqrt.f64 h))) | |
| 7.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) | |
| 9.0% | #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 (*.f64 #s(literal 0 binary64) (neg.f64 l)) (*.f64 (neg.f64 l) d)) (*.f64 (neg.f64 l) (neg.f64 l)))) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) | |
| 36.8% | #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)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))))) | |
| 3.8% | #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)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (neg.f64 d))))))) | |
| 3.8% | #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)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 d)))))) | |
| 7.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 d h))))))) | |
| ✓ | 7.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) |
| 7.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) | |
| 16.0% | #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 h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) | |
| 19.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (*.f64 (/.f64 d h) d)) (sqrt.f64 l))) | |
| 3.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 d) (*.f64 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) (sqrt.f64 l)))) | |
| 27.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) | |
| ✓ | 28.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| 28.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) | |
| 7.6% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) (sqrt.f64 (/.f64 d l))))) | |
| 29.7% | #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) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d l) d))))) | |
| 2.7% | #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 (sqrt.f64 (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (neg.f64 l))) d)) | |
| 28.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) | |
| 17.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) | |
| 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 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.f64 l))) d)) | |
| 36.9% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 d l)) (sqrt.f64 (/.f64 d h)))) | |
| ✓ | 28.5% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
| 22.4% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) | |
| 27.1% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (exp.f64 (*.f64 (log.f64 (*.f64 l h)) #s(literal -1/2 binary64))) d)) | |
| 32.8% | #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 l) h) d))) | |
| 33.6% | #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) l) d))) | |
| ✓ | 41.7% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
| 33.2% | #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.f64 d h))))) |
Compiled 7 080 to 2 296 computations (67.6% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#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) 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.f64 l))) d)) |
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(*.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 1/2 binary64) h) (*.f64 M (/.f64 D d))) (*.f64 (/.f64 l (*.f64 (*.f64 #s(literal 1/4 binary64) D) M)) 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 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(*.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 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 2 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 d) (*.f64 (pow.f64 h #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))))) |
(*.f64 (sqrt.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) l) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) (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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) d)) (sqrt.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) h))) h)) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) #s(approx (/ (* (* (/ D d) M) 1/2) (pow h -1)) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))) (*.f64 #s(literal 4 binary64) (*.f64 d d))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 D M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64))) d))) |
(*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d l) h) d) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d l) h) d) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) |
(*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 l d) #s(literal -1/4 binary64)) #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (*.f64 (pow.f64 d #s(literal -2 binary64)) (fma.f64 (*.f64 (sqrt.f64 (*.f64 h d)) #s(literal -1/8 binary64)) (/.f64 (pow.f64 (*.f64 M D) #s(literal 2 binary64)) l) (/.f64 (pow.f64 d #s(literal 5/2 binary64)) (sqrt.f64 h))))))) |
| Outputs |
|---|
(*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l)) |
7 calls:
| 60.0ms | M |
| 37.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 34.0ms | (*.f64 M D) |
| 29.0ms | d |
| 29.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 2 | d |
| 79.3% | 3 | h |
| 80.1% | 3 | l |
| 70.3% | 2 | M |
| 69.2% | 2 | D |
| 76.2% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 71.1% | 3 | (*.f64 M D) |
Compiled 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (*.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 d) (sqrt.f64 (*.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 (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d 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 #s(literal -1 binary64) h)) (sqrt.f64 (neg.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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 d) (*.f64 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 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 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 h) (sqrt.f64 d)))))) |
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(*.f64 (sqrt.f64 d) (*.f64 (pow.f64 l #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d l))) (sqrt.f64 d)) (pow.f64 h #s(literal -1/2 binary64))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 M D) #s(literal 2 binary64))) l) (sqrt.f64 (*.f64 h d)) (sqrt.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) h))) (*.f64 d d))) (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 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) #s(approx (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 (sqrt.f64 d) (sqrt.f64 l))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 M M)) (/.f64 (*.f64 D D) l)) (sqrt.f64 (*.f64 (pow.f64 h #s(literal 3 binary64)) d)) (sqrt.f64 (*.f64 (pow.f64 d #s(literal 5 binary64)) h))) h)) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 D d) (*.f64 (*.f64 M M) #s(literal 1/4 binary64))) (*.f64 (/.f64 D d) (*.f64 (/.f64 h l) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 D d) #s(literal 1/2 binary64)) (*.f64 M (/.f64 h l))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) #s(approx (/ (* (* (/ D d) M) 1/2) (pow h -1)) (*.f64 (/.f64 (*.f64 (*.f64 h M) D) d) #s(literal 1/2 binary64)))))) |
(*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(/.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) (*.f64 #s(literal 1/4 binary64) D)) (/.f64 (/.f64 M d) l) #s(literal 1 binary64)) #s(literal 1 binary64))) |
| 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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l)) |
1 calls:
| 57.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 3 | l |
Compiled 1 to 5 computations (-400% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (*.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 d) (sqrt.f64 (*.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 (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d 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 #s(literal -1 binary64) h)) (sqrt.f64 (neg.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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 d) (*.f64 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 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 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 h) (sqrt.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 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) (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 #s(literal 1 binary64) (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) #s(approx (sqrt (/ h d)) (neg.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 l)) (*.f64 (neg.f64 l) d)) (*.f64 (neg.f64 l) (neg.f64 l)))) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (*.f64 h d))))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 M d) l) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) (neg.f64 d)) l) (*.f64 M (/.f64 D d))) (*.f64 #s(literal 1/2 binary64) h) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(fma.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M)) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)) M) (/.f64 D d)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(fma.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)) M) (/.f64 D d))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) l) d) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)))) (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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d)) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M))) l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) (neg.f64 d)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) (neg.f64 d)) l) (*.f64 #s(literal -1/2 binary64) (*.f64 M (/.f64 D d)))) (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) 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 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -2 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
4 calls:
| 25.0ms | d |
| 19.0ms | h |
| 16.0ms | l |
| 14.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 76.4% | 3 | d |
| 74.3% | 2 | h |
| 78.9% | 4 | l |
Compiled 38 to 37 computations (2.6% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#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) 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (*.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 d) (sqrt.f64 (*.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 (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d 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 #s(literal -1 binary64) h)) (sqrt.f64 (neg.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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 d) (*.f64 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 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 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 h) (sqrt.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 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) (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 #s(literal 1 binary64) (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) #s(approx (sqrt (/ h d)) (neg.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 l)) (*.f64 (neg.f64 l) d)) (*.f64 (neg.f64 l) (neg.f64 l)))) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (*.f64 h d))))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 M d) l) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) (neg.f64 d)) l) (*.f64 M (/.f64 D d))) (*.f64 #s(literal 1/2 binary64) h) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(fma.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M)) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)) M) (/.f64 D d)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(fma.f64 (*.f64 (/.f64 d (sqrt.f64 (*.f64 l h))) (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/4 binary64)) M) (/.f64 D d))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 D d)) M) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d h)) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 D D) h) #s(literal -1/8 binary64)) d) (/.f64 (/.f64 (*.f64 M M) l) d) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (neg.f64 d))) (sqrt.f64 (neg.f64 l))) |
(/.f64 (*.f64 (sqrt.f64 d) (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)))) (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 (sqrt.f64 (/.f64 (pow.f64 h #s(literal -1 binary64)) l)) d)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 h d))) (sqrt.f64 (/.f64 d l))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
(*.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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 l #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 h))) d)) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (/.f64 (*.f64 h (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M))) l) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) (neg.f64 d)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) d) (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64))))))) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(fma.f64 (sqrt.f64 d) (sqrt.f64 (/.f64 (/.f64 d l) h)) (*.f64 (/.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) (neg.f64 d)) l) (*.f64 #s(literal -1/2 binary64) (*.f64 M (/.f64 D d)))) (/.f64 #s(literal -1 binary64) h)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d)))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) M) (/.f64 d D)) #s(literal -2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 (/.f64 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 D D) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 (/.f64 h (pow.f64 l #s(literal 3 binary64)))) (*.f64 M M)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) (*.f64 d d))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 D D)) (/.f64 (*.f64 M M) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) 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 (fma.f64 (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) d)) (sqrt.f64 (pow.f64 (/.f64 h l) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 h l)) d)) h)) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (*.f64 (pow.f64 (*.f64 (/.f64 D d) M) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 14.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.0% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (*.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 d) (sqrt.f64 (*.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 (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d 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 #s(literal -1 binary64) h)) (sqrt.f64 (neg.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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 d) (*.f64 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 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 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 h) (sqrt.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 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) (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 #s(literal 1 binary64) (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) #s(approx (sqrt (/ h d)) (neg.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 l)) (*.f64 (neg.f64 l) d)) (*.f64 (neg.f64 l) (neg.f64 l)))) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (*.f64 h d))))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 M d) l) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) D) M) (neg.f64 d)) l) (*.f64 M (/.f64 D d))) (*.f64 #s(literal 1/2 binary64) h) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 M d) l) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
4 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)))) |
| 22.0ms | h |
| 11.0ms | d |
| 11.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.5% | 3 | h |
| 70.1% | 2 | d |
| 73.5% | 3 | l |
| 74.2% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 38 to 37 computations (2.6% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (*.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 d) (sqrt.f64 (*.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 (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d 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 #s(literal -1 binary64) h)) (sqrt.f64 (neg.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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 d) (*.f64 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 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 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 h) (sqrt.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 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) (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 #s(literal 1 binary64) (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) #s(approx (sqrt (/ h d)) (neg.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 l)) (*.f64 (neg.f64 l) d)) (*.f64 (neg.f64 l) (neg.f64 l)))) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (*.f64 h d))))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 35.0ms | (*.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 |
|---|---|---|
| 73.5% | 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)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (*.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 d) (sqrt.f64 (*.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 (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d 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 #s(literal -1 binary64) h)) (sqrt.f64 (neg.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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 d) (*.f64 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 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 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 h) (sqrt.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 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) (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 #s(literal 1 binary64) (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) #s(approx (sqrt (/ h d)) (neg.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 l)) (*.f64 (neg.f64 l) d)) (*.f64 (neg.f64 l) (neg.f64 l)))) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (*.f64 h d))))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 9.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.1% | 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 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (*.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 d) (sqrt.f64 (*.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 (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d 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 #s(literal -1 binary64) h)) (sqrt.f64 (neg.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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 d) (*.f64 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 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 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 h) (sqrt.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 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) (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 #s(literal 1 binary64) (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) #s(approx (sqrt (/ h d)) (neg.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 l)) (*.f64 (neg.f64 l) d)) (*.f64 (neg.f64 l) (neg.f64 l)))) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (*.f64 h d))))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #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 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 8.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 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)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (*.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 d) (sqrt.f64 (*.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 (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d 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 #s(literal -1 binary64) h)) (sqrt.f64 (neg.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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 d) (*.f64 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 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 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 h) (sqrt.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 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) (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 #s(literal 1 binary64) (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) #s(approx (sqrt (/ h d)) (neg.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 l)) (*.f64 (neg.f64 l) d)) (*.f64 (neg.f64 l) (neg.f64 l)))) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (*.f64 h d))))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D D) l))) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 (*.f64 M M) d) d) h) #s(literal -1/8 binary64)) (/.f64 (*.f64 D 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 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
7 calls:
| 38.0ms | (*.f64 M D) |
| 11.0ms | h |
| 9.0ms | l |
| 9.0ms | D |
| 9.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.9% | 3 | D |
| 58.4% | 2 | (*.f64 M D) |
| 59.4% | 3 | d |
| 59.3% | 2 | M |
| 56.4% | 3 | h |
| 57.8% | 3 | l |
| 71.7% | 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)))) |
Compiled 43 to 53 computations (-23.3% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (*.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 d) (sqrt.f64 (*.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 (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d 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 #s(literal -1 binary64) h)) (sqrt.f64 (neg.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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 d) (*.f64 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 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 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 h) (sqrt.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 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) (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 #s(literal 1 binary64) (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) #s(approx (sqrt (/ h d)) (neg.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 l)) (*.f64 (neg.f64 l) d)) (*.f64 (neg.f64 l) (neg.f64 l)))) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (*.f64 h d))))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| Outputs |
|---|
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
4 calls:
| 43.0ms | M |
| 15.0ms | d |
| 9.0ms | (*.f64 M D) |
| 8.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.8% | 2 | d |
| 51.2% | 2 | (*.f64 M D) |
| 50.9% | 2 | M |
| 59.8% | 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 40 to 38 computations (5% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (*.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 d) (sqrt.f64 (*.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 (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d 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 #s(literal -1 binary64) h)) (sqrt.f64 (neg.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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 d) (*.f64 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 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 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 h) (sqrt.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 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) (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 #s(literal 1 binary64) (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) #s(approx (sqrt (/ h d)) (neg.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 l)) (*.f64 (neg.f64 l) d)) (*.f64 (neg.f64 l) (neg.f64 l)))) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) |
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (*.f64 h d))))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
| Outputs |
|---|
(*.f64 #s(approx (* (+ (* (* -1/2 (/ h l)) (pow (* (/ 2 M) (/ d D)) -2)) 1) (sqrt (/ d h))) (/.f64 #s(approx (+ (* (* (* -1/8 (* M M)) (/ (* D D) l)) (sqrt (* h d))) (sqrt (/ (pow d 5) h))) (*.f64 (*.f64 (*.f64 M M) #s(literal -1/8 binary64)) (*.f64 (/.f64 (*.f64 D D) l) (sqrt.f64 (*.f64 h d))))) (*.f64 d d))) (sqrt.f64 (/.f64 d l))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
5 calls:
| 18.0ms | D |
| 11.0ms | h |
| 9.0ms | d |
| 9.0ms | l |
| 8.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.5% | 2 | D |
| 47.8% | 3 | d |
| 46.1% | 2 | h |
| 46.1% | 2 | l |
| 56.3% | 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 39 to 42 computations (-7.7% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (*.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 d) (sqrt.f64 (*.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 (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d 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 #s(literal -1 binary64) h)) (sqrt.f64 (neg.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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 d) (*.f64 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 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 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 h) (sqrt.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 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) (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 #s(literal 1 binary64) (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) #s(approx (sqrt (/ h d)) (neg.f64 (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 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 l)) (*.f64 (neg.f64 l) d)) (*.f64 (neg.f64 l) (neg.f64 l)))) #s(approx (sqrt (/ h d)) (neg.f64 (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 (sqrt.f64 (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 l)) (*.f64 (neg.f64 l) d)) (*.f64 (neg.f64 l) (neg.f64 l)))) #s(approx (sqrt (/ h d)) (neg.f64 (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 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
3 calls:
| 51.0ms | (*.f64 M D) |
| 8.0ms | M |
| 7.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.3% | 2 | M |
| 43.9% | 2 | (*.f64 M D) |
| 53.4% | 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 39 to 33 computations (15.4% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (*.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 d) (sqrt.f64 (*.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 (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d 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 #s(literal -1 binary64) h)) (sqrt.f64 (neg.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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 d) (*.f64 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 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 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 h) (sqrt.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 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) (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 #s(literal 1 binary64) (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.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 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 (neg.f64 h)) (sqrt.f64 (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 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 l))) #s(approx (sqrt (/ h d)) (neg.f64 (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 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.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 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 42.0ms | (*.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 |
|---|---|---|
| 51.8% | 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 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (*.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 d) (sqrt.f64 (*.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 (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d 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 #s(literal -1 binary64) h)) (sqrt.f64 (neg.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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 d) (*.f64 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 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 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (/.f64 (sqrt.f64 h) (sqrt.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 (/.f64 (sqrt.f64 d) (sqrt.f64 l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) (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 #s(literal 1 binary64) (/.f64 l d))) #s(approx (sqrt (/ h d)) (neg.f64 (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 (sqrt.f64 (/.f64 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 7.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.8% | 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 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (*.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 d) (sqrt.f64 (*.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 (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d 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 #s(literal -1 binary64) h)) (sqrt.f64 (neg.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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 d) (*.f64 #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))) (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 d l)) #s(approx (sqrt (/ h d)) (neg.f64 (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 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.8% | 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 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (*.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 d) (sqrt.f64 (*.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 (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 #s(literal 1 binary64) (sqrt.f64 (/.f64 h (*.f64 (/.f64 d 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 #s(literal -1 binary64) h)) (sqrt.f64 (neg.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 (/.f64 d h) (neg.f64 d))) (sqrt.f64 (neg.f64 l)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 (sqrt.f64 (/.f64 d l)) (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 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.2% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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 l)) (sqrt.f64 h))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.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)))) (fabs.f64 (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 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)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.1% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (sqrt.f64 (*.f64 (/.f64 d l) (/.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 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 3.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.8% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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 (/.f64 d l) h) d))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 l h)) d))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 5.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.1% | 3 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 35 to 22 computations (37.1% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h)))) |
4 calls:
| 3.0ms | l |
| 2.0ms | h |
| 2.0ms | d |
| 2.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.0% | 2 | h |
| 45.4% | 2 | l |
| 45.6% | 2 | d |
| 44.8% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 38 to 37 computations (2.6% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
4 calls:
| 4.0ms | l |
| 2.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 2.0ms | h |
| 2.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.8% | 2 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 41.7% | 1 | h |
| 41.7% | 1 | l |
| 41.7% | 1 | d |
Compiled 38 to 37 computations (2.6% saved)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))) d)) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 l h))) d)) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))) |
1 calls:
| 2.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.1% | 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 35 to 22 computations (37.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| Outputs |
|---|
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
7 calls:
| 8.0ms | M |
| 1.0ms | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
| 1.0ms | d |
| 1.0ms | l |
| 1.0ms | h |
| Accuracy | Segments | Branch |
|---|---|---|
| 28.5% | 1 | h |
| 28.5% | 1 | l |
| 28.5% | 1 | d |
| 28.5% | 1 | M |
| 28.5% | 1 | D |
| 28.5% | 1 | (*.f64 M D) |
| 28.5% | 1 | (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) |
Compiled 43 to 53 computations (-23.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 124.0ms | 4.0863705640938805e-167 | 2.8804757888887436e-161 |
| 84.0ms | -4.20964959167025e-307 | 7.99581174721802e-303 |
| 98.0ms | 292× | 0 | invalid |
| 79.0ms | 288× | 0 | valid |
Compiled 1 109 to 912 computations (17.8% saved)
ival-mult: 83.0ms (55.1% of total)ival-div: 40.0ms (26.5% of total)ival-pow: 19.0ms (12.6% of total)ival-pow2: 6.0ms (4% of total)ival-sub: 3.0ms (2% of total)exact: 1.0ms (0.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 4.0863705640938805e-167 | 2.8804757888887436e-161 |
| 2.0ms | -4.20964959167025e-307 | 7.99581174721802e-303 |
Compiled 1 064 to 876 computations (17.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.626081375953578e+188 | 3.4143361736201797e+199 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.626081375953578e+188 | 3.4143361736201797e+199 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.626081375953578e+188 | 3.4143361736201797e+199 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.626081375953578e+188 | 3.4143361736201797e+199 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.626081375953578e+188 | 3.4143361736201797e+199 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.626081375953578e+188 | 3.4143361736201797e+199 |
| 0.0ms | 0.0 | 3.0570067281905513e-245 |
| 0.0ms | -1.9905779659266387e-174 | 0.0 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.626081375953578e+188 | 3.4143361736201797e+199 |
| 0.0ms | 0.0 | 3.0570067281905513e-245 |
| 0.0ms | -1.9905779659266387e-174 | 0.0 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.626081375953578e+188 | 3.4143361736201797e+199 |
| 0.0ms | 0.0 | 3.0570067281905513e-245 |
| 0.0ms | -7.704136217855337e-156 | -1.9905779659266387e-174 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.626081375953578e+188 | 3.4143361736201797e+199 |
| 0.0ms | 0.0 | 3.0570067281905513e-245 |
| 0.0ms | -2.1016886414098068e-66 | -7.554872389874977e-71 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.626081375953578e+188 | 3.4143361736201797e+199 |
| 0.0ms | 0.0 | 3.0570067281905513e-245 |
| 0.0ms | -7.554872389874977e-71 | -1.1378336236098712e-111 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.626081375953578e+188 | 3.4143361736201797e+199 |
| 0.0ms | 0.0 | 3.0570067281905513e-245 |
| 0.0ms | -7.704136217855337e-156 | -1.9905779659266387e-174 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.626081375953578e+188 | 3.4143361736201797e+199 |
| 0.0ms | 0.0 | 3.0570067281905513e-245 |
| 0.0ms | -1.9905779659266387e-174 | 0.0 |
Compiled 38 to 30 computations (21.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.626081375953578e+188 | 3.4143361736201797e+199 |
| 0.0ms | 0.0 | 3.0570067281905513e-245 |
| 0.0ms | -1.9905779659266387e-174 | 0.0 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.626081375953578e+188 | 3.4143361736201797e+199 |
| 0.0ms | 0.0 | 3.0570067281905513e-245 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9020187635634473e+148 | 1.3223190380239685e+149 |
| 0.0ms | 8.378350291344024e-233 | 2.7561981505046673e-209 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9020187635634473e+148 | 1.3223190380239685e+149 |
| 0.0ms | 8.378350291344024e-233 | 2.7561981505046673e-209 |
Compiled 38 to 30 computations (21.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.815251693343103e+152 | 5.8952536970923e+154 |
| 0.0ms | 8.378350291344024e-233 | 2.7561981505046673e-209 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 46.0ms | 8.580944131244773e-262 | 2.5613775598167975e-259 |
| 21.0ms | 128× | 0 | valid |
| 16.0ms | 137× | 0 | invalid |
Compiled 742 to 494 computations (33.4% saved)
ival-div: 8.0ms (30.3% of total)ival-mult: 8.0ms (30.3% of total)ival-pow: 6.0ms (22.7% 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× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -7.704136217855337e-156 | -1.9905779659266387e-174 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.9905779659266387e-174 | 0.0 |
Compiled 38 to 30 computations (21.1% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 264 | 3923 |
| 1 | 395 | 3921 |
| 2 | 717 | 3920 |
| 3 | 2126 | 3920 |
| 4 | 5898 | 3920 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 l #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 (*.f64 (/.f64 (sqrt.f64 (neg.f64 d)) (sqrt.f64 (neg.f64 h))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 (/.f64 D d) M) #s(literal 1/2 binary64)) (pow.f64 h #s(literal -1 binary64)))))) (if (<=.f64 l #s(literal 5186894461101241/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.f64 l)))) |
(if (<=.f64 l #s(literal -5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 #s(literal 1/2 binary64) (*.f64 D #s(literal 1/2 binary64))) (/.f64 M d)) l) (/.f64 (*.f64 (*.f64 M D) (*.f64 #s(literal 1/2 binary64) h)) d)))) (if (<=.f64 l #s(literal 5186894461101241/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 D d) M)) l) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) (*.f64 M D)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 (*.f64 l h)))) (/.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 M (/.f64 D d))) #s(literal -2 binary64)) (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 d (sqrt.f64 h))) (sqrt.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 500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 h l)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 M D)) #s(literal -2 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (/.f64 h l) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d)))) (*.f64 #s(literal 1/2 binary64) (*.f64 M (/.f64 D d))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 M d) l) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) h) (*.f64 M (/.f64 D d)))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 d h))) (sqrt.f64 (/.f64 d l))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 d l)) (fma.f64 (*.f64 (/.f64 (*.f64 (/.f64 M d) (*.f64 #s(literal 1/4 binary64) D)) (neg.f64 l)) (*.f64 M D)) (*.f64 #s(literal 1/2 binary64) (/.f64 h d)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 d h))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
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(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -4455508415646675/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 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)) #s(approx (sqrt (/ h d)) (neg.f64 (sqrt.f64 (/.f64 h d)))))) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 0 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.f64 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 500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 0 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal -1 binary64) h) (neg.f64 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 500000000000000011546545651348935774464919112425849637715282289077421094839728844432880898433975380555391192719129287098299595056567936753438014858326845092856015715723317824379483334901760 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 5593535921577141/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 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 (/.f64 #s(literal -1 binary64) h) (neg.f64 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 20000000000000000979534531503010411591444540070614877774900847491803365271867695123224630584945529275862261293630205535241068658373251704342045523968 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 5593535921577141/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 20000000000000000979534531503010411591444540070614877774900847491803365271867695123224630584945529275862261293630205535241068658373251704342045523968 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 5593535921577141/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) (if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal 499999999999999999866701502061576872427769509559218343142920094012184839761211880836459879782283579221834689412014355010196297047064515110066507929878528 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (sqrt.f64 (*.f64 (/.f64 (/.f64 d 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)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h))))))) |
(if (<=.f64 d #s(literal 2991367617912601/2215827865120445285436604169234485268788427414982608644747394113713414456189281304992986194038624093815384393617798347846350945898212351959632084639523021319185153902243763020549247279516306127414463752183841820368271691660401046407456843466086176161485977628013706077372678144 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (*.f64 (sqrt.f64 l) (sqrt.f64 h))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -4830671903771573/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (*.f64 (neg.f64 d) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 l h))))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
(if (<=.f64 (*.f64 (*.f64 (pow.f64 (/.f64 d h) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 d l) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 M D) (*.f64 #s(literal 2 binary64) d)) #s(literal 2 binary64))) (/.f64 h l)))) #s(literal -4455508415646675/4455508415646675018204269146191690746966043464109921807206242693261010905477224010259680479802120507596330380442963288389344438204468201170168614570041224793214838549179946240315306828365824 binary64)) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) #s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (fabs.f64 (/.f64 d (sqrt.f64 (*.f64 l h)))))) |
#s(approx (* (* (pow (/ d h) (/ 1 2)) (pow (/ d l) (/ 1 2))) (- 1 (* (* (/ 1 2) (pow (/ (* M D) (* 2 d)) 2)) (/ h l)))) (/.f64 d (sqrt.f64 (*.f64 l h)))) |
| Outputs |
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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 (sqrt.f64 (*.f64 l h)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 635 |
| 1 | 413 | 593 |
| 2 | 1514 | 584 |
| 3 | 4190 | 568 |
| 4 | 7941 | 568 |
| 0 | 8163 | 552 |
| 0 | 80 | 372 |
| 0 | 136 | 346 |
| 1 | 403 | 329 |
| 2 | 2964 | 317 |
| 0 | 10489 | 317 |
| 0 | 296 | 1470 |
| 1 | 873 | 1363 |
| 2 | 3173 | 1339 |
| 3 | 6934 | 1326 |
| 0 | 8251 | 1293 |
| 0 | 22 | 72 |
| 0 | 38 | 68 |
| 1 | 124 | 67 |
| 2 | 836 | 67 |
| 0 | 8760 | 65 |
| 0 | 261 | 1214 |
| 1 | 739 | 1129 |
| 2 | 2574 | 1115 |
| 3 | 6173 | 1107 |
| 0 | 8812 | 1076 |
| 0 | 77 | 373 |
| 0 | 123 | 363 |
| 1 | 377 | 343 |
| 2 | 2528 | 330 |
| 0 | 8195 | 330 |
| 0 | 92 | 473 |
| 0 | 148 | 457 |
| 1 | 483 | 421 |
| 2 | 3407 | 401 |
| 0 | 10002 | 394 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 9 526 to 3 558 computations (62.6% saved)
(abs M)
Compiled 9 742 to 1 200 computations (87.7% saved)
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