
Time bar (total: 10.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 7 |
| 0% | 0% | 74.9% | 0.1% | 0% | 25% | 0% | 8 |
| 4.2% | 3.1% | 71.8% | 0.1% | 0% | 25% | 0% | 9 |
| 6.3% | 4.7% | 70.2% | 0.1% | 0% | 25% | 0% | 10 |
| 11.3% | 7% | 55.4% | 0.1% | 0% | 37.4% | 0% | 11 |
| 16.9% | 10.5% | 51.9% | 0.1% | 0% | 37.4% | 0% | 12 |
Compiled 29 to 20 computations (31% saved)
| 849.0ms | 5 362× | 0 | valid |
| 747.0ms | 2 701× | 1 | valid |
| 434.0ms | 2 928× | 0 | invalid |
| 349.0ms | 1 532× | 1 | invalid |
| 51.0ms | 193× | 2 | valid |
| 25.0ms | 94× | 2 | invalid |
ival-mult: 551.0ms (30.6% of total)ival-add: 325.0ms (18.1% of total)ival-sqrt: 275.0ms (15.3% of total)ival-div: 254.0ms (14.1% of total)ival-sub: 206.0ms (11.4% of total)adjust: 159.0ms (8.8% of total)exact: 14.0ms (0.8% of total)ival-true: 11.0ms (0.6% of total)ival-assert: 5.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 106 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))) |
| 100 | 1 | (12395.042725966476 -1.936053334237025e+31 1.3578544521530407e-27) | 0 | - | (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) |
| 1 | 0 | - | 0 | - | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) (*.f64 t t)) |
| 0 | 0 | - | 0 | - | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 l l) |
| 0 | 0 | - | 0 | - | (sqrt.f64 #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 t t) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | l |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))) | oflow-rescue | 89 | 0 |
| ↳ | (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) | overflow | 90 | |
| ↳ | (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) | overflow | 112 | |
| ↳ | (*.f64 #s(literal 2 binary64) (*.f64 t t)) | overflow | 71 | |
| ↳ | (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) | overflow | 112 | |
| ↳ | (*.f64 t t) | overflow | 71 | |
| ↳ | (*.f64 l l) | overflow | 126 | |
| ↳ | (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))) | overflow | 1 | |
-.f64 | (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) | nan-rescue | 63 | 0 |
| ↳ | (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) | overflow | 112 | |
| ↳ | (*.f64 #s(literal 2 binary64) (*.f64 t t)) | overflow | 71 | |
| ↳ | (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) | overflow | 112 | |
| ↳ | (*.f64 t t) | overflow | 71 | |
| ↳ | (*.f64 l l) | overflow | 63 | |
| ↳ | (*.f64 l l) | overflow | 63 | |
-.f64 | (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) | cancellation | 38 | 0 |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))) | uflow-rescue | 17 | 0 |
| ↳ | (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) | underflow | 17 | |
| ↳ | (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) | underflow | 10 | |
| ↳ | (*.f64 #s(literal 2 binary64) (*.f64 t t)) | underflow | 42 | |
| ↳ | (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) | underflow | 10 | |
| ↳ | (*.f64 t t) | underflow | 42 | |
| ↳ | (*.f64 l l) | underflow | 124 | |
/.f64 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) | o/o | 1 | 0 |
| ↳ | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | overflow | 1 | |
| ↳ | (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) | overflow | 90 | |
| ↳ | (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) | overflow | 112 | |
| ↳ | (*.f64 #s(literal 2 binary64) (*.f64 t t)) | overflow | 71 | |
| ↳ | (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) | overflow | 112 | |
| ↳ | (*.f64 t t) | overflow | 71 | |
| ↳ | (*.f64 l l) | overflow | 126 | |
| ↳ | (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 166 | 0 |
| - | 1 | 89 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 166 | 0 | 0 |
| - | 1 | 0 | 89 |
| number | freq |
|---|---|
| 0 | 89 |
| 1 | 126 |
| 2 | 41 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 70.0ms | 172× | 1 | valid |
| 38.0ms | 322× | 0 | valid |
| 6.0ms | 18× | 2 | valid |
Compiled 424 to 76 computations (82.1% saved)
ival-mult: 16.0ms (27.3% of total)adjust: 9.0ms (15.4% of total)ival-div: 9.0ms (15.4% of total)ival-sqrt: 8.0ms (13.6% of total)ival-sub: 7.0ms (11.9% of total)ival-add: 7.0ms (11.9% of total)ival-true: 1.0ms (1.7% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 250 |
| 1 | 221 | 248 |
| 2 | 650 | 246 |
| 3 | 2213 | 246 |
| 4 | 7212 | 246 |
| 0 | 18 | 27 |
| 0 | 31 | 27 |
| 1 | 58 | 27 |
| 2 | 113 | 27 |
| 3 | 214 | 27 |
| 4 | 443 | 27 |
| 5 | 966 | 27 |
| 6 | 2371 | 27 |
| 7 | 5750 | 27 |
| 0 | 8159 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
| Outputs |
|---|
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) |
(abs l)
(negabs t)
Compiled 27 to 18 computations (33.3% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 36.3% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
Compiled 27 to 18 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | |
| cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) | |
| cost-diff | 128 | (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 131 |
| 0 | 31 | 131 |
| 1 | 58 | 131 |
| 2 | 113 | 131 |
| 3 | 214 | 131 |
| 4 | 443 | 131 |
| 5 | 966 | 131 |
| 6 | 2371 | 131 |
| 7 | 5750 | 131 |
| 0 | 8159 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))) |
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) |
(*.f64 l l) |
l |
(*.f64 #s(literal 2 binary64) (*.f64 t t)) |
(*.f64 t t) |
| Outputs |
|---|
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))) |
(sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) |
(fma.f64 (neg.f64 l) l (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) |
(fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) |
(*.f64 l l) |
l |
(*.f64 #s(literal 2 binary64) (*.f64 t t)) |
(*.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.34213151081926724 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) | |
| accuracy | 0.4453125 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | |
| accuracy | 21.95513844577668 | (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) | |
| accuracy | 24.791950045964946 | (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))) |
| 21.0ms | 161× | 0 | valid |
| 20.0ms | 86× | 1 | valid |
| 3.0ms | 9× | 2 | valid |
Compiled 264 to 38 computations (85.6% saved)
ival-mult: 7.0ms (26.5% of total)ival-div: 4.0ms (15.2% of total)ival-sqrt: 4.0ms (15.2% of total)ival-sub: 3.0ms (11.4% of total)adjust: 3.0ms (11.4% of total)ival-add: 3.0ms (11.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))) |
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) |
| Outputs |
|---|
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) |
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
(+ (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
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(sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) |
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* 1/2 (* (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) |
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) |
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1/2 (/ (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* -1/2 (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))))) |
(- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) |
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2)) |
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2)) |
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2)) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/2 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/8 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))))))) (* (pow x 3) (sqrt 1/2)))) (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))))) |
(* t (sqrt 2)) |
(+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))) |
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))) |
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 3) (sqrt 2))))) (+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))))) |
(* 2 (pow t 2)) |
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) |
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (/ (pow t 2) (pow x 2))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (/ (pow l 2) (pow x 2)))))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2))))) |
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (/ (pow t 2) (pow x 3))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (/ (pow l 2) (pow x 3)))))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))) (* -1 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow x 2)))))) |
(+ (* -1 (/ (+ (* 1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (sqrt 1/2)))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (* x (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))) (+ (* -1/8 (/ (* (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (+ (* -1/8 (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 6))) (* 1/2 (/ (* (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2)))))))) (* x (sqrt 1/2))))) x)) (* 1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* x (sqrt 2))))) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* x (sqrt 2))))) (* 1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (sqrt 2))))) x)) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2))) |
(+ (* -1 (/ (- (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))) x)) (* 2 (pow t 2))) |
(+ (* -1 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) x))) x)) (* 2 (pow t 2))) |
(+ (* 2 (pow t 2)) (pow l 2)) |
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) |
(+ (* -1/8 (* (/ (* (pow l 2) (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1))))) (* -1/8 (* (/ (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3)))))))) |
(+ (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)) (* (pow t 8) (pow (+ 1 x) 4)))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (pow t 2) (* (pow (sqrt 1/2) 2) (+ 1 x))))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1))))) (* -1/2 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1)))))))))) |
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) |
(+ (* 1/2 (* (/ (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x)))))))) |
(+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/16 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)) (* (pow t 5) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5)))))))))) |
(* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) |
(+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) |
(pow l 2) |
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l) |
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) |
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1)) |
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) |
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l)) |
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l)) |
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l)) |
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))) |
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) |
(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) |
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))) |
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))))) |
(sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) |
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (/ (* (pow t 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))) |
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* -1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 2)) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))) |
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1/2 (* (/ (pow (+ 1 x) 2) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* 1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 3)) (pow (- x 1) 3)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 5)))))))))) |
(- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) |
(- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2)) |
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2)))) |
(+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))) |
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))))) |
(* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))) |
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2)))) |
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3)))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | x | @ | inf | ((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) |
| 17.0ms | t | @ | 0 | ((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) |
| 8.0ms | x | @ | 0 | ((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) |
| 8.0ms | l | @ | 0 | ((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) |
| 7.0ms | t | @ | -inf | ((+ (* l l) (* 2 (* t t))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 676 | 9425 |
| 1 | 2332 | 8299 |
| 0 | 8755 | 7937 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) |
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
(+ (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
(+ (* x (+ (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (* (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (+ (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
(sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) |
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* 1/2 (* (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) |
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) |
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1/2 (/ (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* -1/2 (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))))) |
(- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) |
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2)) |
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2)) |
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2)) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/2 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/8 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))))))) (* (pow x 3) (sqrt 1/2)))) (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))))) |
(* t (sqrt 2)) |
(+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))) |
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))) |
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 3) (sqrt 2))))) (+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))))) |
(* 2 (pow t 2)) |
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) |
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (/ (pow t 2) (pow x 2))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (/ (pow l 2) (pow x 2)))))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2))))) |
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (/ (pow t 2) (pow x 3))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (/ (pow l 2) (pow x 3)))))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))) (* -1 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow x 2)))))) |
(+ (* -1 (/ (+ (* 1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (sqrt 1/2)))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (* x (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))) (+ (* -1/8 (/ (* (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (+ (* -1/8 (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 6))) (* 1/2 (/ (* (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2)))))))) (* x (sqrt 1/2))))) x)) (* 1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* x (sqrt 2))))) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* x (sqrt 2))))) (* 1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (sqrt 2))))) x)) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2))) |
(+ (* -1 (/ (- (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))) x)) (* 2 (pow t 2))) |
(+ (* -1 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) x))) x)) (* 2 (pow t 2))) |
(+ (* 2 (pow t 2)) (pow l 2)) |
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) |
(+ (* -1/8 (* (/ (* (pow l 2) (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1))))) (* -1/8 (* (/ (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3)))))))) |
(+ (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)) (* (pow t 8) (pow (+ 1 x) 4)))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (pow t 2) (* (pow (sqrt 1/2) 2) (+ 1 x))))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1))))) (* -1/2 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1)))))))))) |
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) |
(+ (* 1/2 (* (/ (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x)))))))) |
(+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/16 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)) (* (pow t 5) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5)))))))))) |
(* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) |
(+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) |
(pow l 2) |
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l) |
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) |
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1)) |
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) |
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l)) |
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l)) |
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l)) |
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))) |
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) |
(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) |
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))) |
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))))) |
(sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) |
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (/ (* (pow t 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))) |
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* -1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 2)) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))) |
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1/2 (* (/ (pow (+ 1 x) 2) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* 1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 3)) (pow (- x 1) 3)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 5)))))))))) |
(- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) |
(- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2)) |
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2)))) |
(+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))) |
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))))) |
(* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))) |
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2)))) |
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3)))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))) |
| Outputs |
|---|
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) |
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(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) |
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) |
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
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(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) |
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(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1)) |
(*.f64 (fma.f64 (*.f64 (/.f64 t l) (/.f64 t l)) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 l l)) |
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) |
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) (neg.f64 l)) |
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l)) |
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l)) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))))) (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -3 binary64)) (/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)))) (pow.f64 l #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64))) (pow.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) t) t) #s(literal -3 binary64)) (/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 l #s(literal 6 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) (neg.f64 l)) |
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) |
(*.f64 (neg.f64 l) (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
(*.f64 (neg.f64 l) (fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) t) t) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) l) l)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))) (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))) |
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(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) |
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(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) t) |
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 t #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) t) |
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 l t) (/.f64 l t) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 l) l) (*.f64 t t))) (*.f64 t t)) |
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3)))))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t))) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 t #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 t t)))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (pow.f64 t #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64))))) (pow.f64 t #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 t t))) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))))) |
(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(*.f64 (*.f64 (neg.f64 t) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 t #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 85 |
| 0 | 31 | 85 |
| 1 | 116 | 85 |
| 2 | 928 | 84 |
| 0 | 8897 | 80 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))) |
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)) |
| Outputs |
|---|
(*.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (neg.f64 (pow.f64 l #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t #s(literal 2 binary64)) t (*.f64 (neg.f64 l) l)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t)))))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64))))))) |
(*.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (pow.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (*.f64 (pow.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal -2 binary64) (pow.f64 l #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) |
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(*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 1 binary64)) |
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(-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 l l)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l))) (/.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 3 binary64)) (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 2 binary64)))) (/.f64 (pow.f64 l #s(literal 6 binary64)) (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 l l) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) |
(-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) |
(+.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))) |
(+.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l))) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l))) (neg.f64 (/.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 3 binary64)) (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 l #s(literal 6 binary64)) (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 l l)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)) (*.f64 l l))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 l l) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 l l)) (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l))) |
(+.f64 (*.f64 (neg.f64 l) l) (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (neg.f64 l) l)) |
Compiled 28 305 to 2 441 computations (91.4% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 488 | 16 | 504 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 489 | 16 | 505 |
| Status | Accuracy | Program |
|---|---|---|
| 16.8% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))) | |
| 31.1% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))) | |
| 36.4% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l))))) | |
| ▶ | 41.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) |
| 2.6% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))) | |
| 54.2% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))) | |
| 43.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))))))) | |
| 43.1% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64))))) | |
| ▶ | 52.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
| 3.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))) | |
| 73.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) | |
| 42.0% | (*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))) | |
| 43.0% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) t) t)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) | |
| ▶ | 74.6% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
| ▶ | 5.8% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
| ▶ | 73.2% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
Compiled 1 214 to 782 computations (35.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | |
| cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) | |
| cost-diff | 640 | (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | |
| cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) | |
| cost-diff | 0 | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l))) | |
| cost-diff | 640 | (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 583 |
| 0 | 90 | 578 |
| 1 | 182 | 575 |
| 2 | 437 | 559 |
| 3 | 1048 | 549 |
| 4 | 3261 | 541 |
| 5 | 7533 | 541 |
| 0 | 8096 | 533 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l))) |
#s(literal 1 binary64) |
(-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) |
(neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) |
(fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) |
(*.f64 t t) |
t |
#s(literal 2 binary64) |
(*.f64 l l) |
l |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
(sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) |
(fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) |
(neg.f64 l) |
l |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) |
(*.f64 t t) |
(*.f64 l l) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
x |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) |
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) |
(fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) |
(*.f64 t t) |
(*.f64 l l) |
l |
| Outputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 l l (*.f64 t t)))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 l l (*.f64 t t))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) |
(sqrt.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 l l (*.f64 t t)))) |
(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l))) |
(/.f64 #s(literal -1/2 binary64) (fma.f64 l l (*.f64 t t))) |
#s(literal 1 binary64) |
(-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) |
(*.f64 #s(literal -2 binary64) (fma.f64 l l (*.f64 t t))) |
(neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) |
(fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) |
(*.f64 t t) |
t |
#s(literal 2 binary64) |
(*.f64 l l) |
l |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 (neg.f64 l) l)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
(sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) |
(sqrt.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 (neg.f64 l) l))) |
(fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 (neg.f64 l) l)) |
(neg.f64 l) |
l |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) |
(*.f64 t t) |
(*.f64 l l) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
#s(literal 1/2 binary64) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
x |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) |
(/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) t) |
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) |
(*.f64 t t) |
(*.f64 l l) |
l |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 l l) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.0 | #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) | |
| accuracy | 0.0 | (*.f64 l l) | |
| accuracy | 0.0 | (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.0 | (neg.f64 l) | |
| accuracy | 0.0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.0 | (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) | |
| accuracy | 0.0 | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) | |
| accuracy | 0.0 | (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.0 | (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 2 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
| 105.0ms | 256× | 0 | invalid |
Compiled 1 096 to 107 computations (90.2% saved)
ival-mult: 19.0ms (32% of total)ival-div: 11.0ms (18.5% of total)ival-sqrt: 11.0ms (18.5% of total)ival-add: 7.0ms (11.8% of total)ival-sub: 7.0ms (11.8% of total)ival-neg: 4.0ms (6.7% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
(-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) |
(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) |
(neg.f64 l) |
(*.f64 l l) |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) |
| Outputs |
|---|
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) |
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
(+ (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
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(* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) (/ (* x (* (sqrt 1/2) (sqrt 2))) (sqrt -1))) |
(+ (* x (+ (* -1/2 (/ (* x (* (sqrt 1/2) (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (sqrt -1))) (/ (* (sqrt 1/2) (sqrt 2)) (sqrt -1)))) (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))) |
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(sqrt -1) |
(+ (sqrt -1) (/ x (sqrt -1))) |
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1))))) |
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1))))) |
-1 |
(- (* 2 x) 1) |
(- (* x (+ 2 (* -2 x))) 1) |
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1) |
(* (* t (sqrt 2)) (sqrt (/ 1 (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))))) |
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(sqrt (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) |
(+ (sqrt (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) (* -1/2 (* (* x (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (sqrt (/ 1 (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))))))) |
(+ (sqrt (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))))) (* 1/2 (* (* x (- (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2))))))) (sqrt (/ 1 (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))))))))) |
(+ (sqrt (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) (* x (+ (* -1/2 (* (sqrt (/ 1 (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))))) (* x (+ (* 1/2 (* (sqrt (/ 1 (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2))))) (- (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))))))) (* 1/2 (* (* x (- (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (- (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2))))))) (sqrt (/ 1 (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))))))))))) |
(/ (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) x) |
(/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x) |
(sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) |
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* 1/2 (* (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) |
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) |
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1/2 (/ (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* -1/2 (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/2 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/8 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))))))) (* (pow x 3) (sqrt 1/2)))) (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))))) |
(+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (+ (* 1/2 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 2))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 3))) (+ (* 1/2 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 2))) (* (sqrt 1/2) (sqrt 2))))) |
1 |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))) |
(- 1 (* 2 (/ 1 x))) |
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))) |
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) |
(* (* t (sqrt 2)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))) |
(+ (* 1/2 (* (/ (* t (* (sqrt 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) x) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))) |
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(sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))) |
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(* t (sqrt 2)) |
(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2)))))) |
(+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))) |
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(* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2))) (/ (* (sqrt 1/2) (sqrt 2)) x)) |
(+ (* -1 (/ (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) x))) x)) (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1 (/ (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* -1 (/ (+ (* -1/2 (* (sqrt 1/2) (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (* (sqrt 2) (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))))) x))) x))) x)) (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) |
(pow (sqrt -1) 2) |
(+ (/ 1 x) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2)) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) |
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(+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* x (sqrt 2))))) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2))) |
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(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) |
(+ (* -1/8 (* (/ (* (pow l 2) (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1))))) (* -1/8 (* (/ (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3)))))))) |
(+ (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)) (* (pow t 8) (pow (+ 1 x) 4)))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (pow t 2) (* (pow (sqrt 1/2) 2) (+ 1 x))))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1))))) (* -1/2 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1)))))))))) |
(* -2 (pow t 2)) |
(- (* -2 (pow l 2)) (* 2 (pow t 2))) |
(/ -1/2 (pow t 2)) |
(- (* 1/2 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2)))) |
(- (* (pow l 2) (+ (* -1/2 (/ (pow l 2) (pow t 6))) (* 1/2 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))) |
(- (* (pow l 2) (+ (* (pow l 2) (- (* 1/2 (/ (pow l 2) (pow t 8))) (* 1/2 (/ 1 (pow t 6))))) (* 1/2 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))) |
(+ (* -1/4 (/ (* (pow l 2) (* (sqrt -1) (sqrt 2))) (* (pow t 2) (sqrt 1/2)))) (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) (* (pow l 2) (+ (* -1/4 (/ (* (sqrt -1) (sqrt 2)) (* (pow t 2) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* (pow t 2) (* (sqrt -1) (* (sqrt 2) (- (* 1/2 (/ 1 (pow t 6))) (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))))) (sqrt 1/2)))))) |
(+ (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) (* (pow l 2) (+ (* -1/4 (/ (* (sqrt -1) (sqrt 2)) (* (pow t 2) (sqrt 1/2)))) (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* (pow t 2) (* (sqrt -1) (* (sqrt 2) (+ (* -1/4 (/ (- (* 1/2 (/ 1 (pow t 6))) (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow t 8)))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow t 2) (* (sqrt -1) (* (sqrt 2) (- (* 1/2 (/ 1 (pow t 6))) (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)))))))) |
(* (* (sqrt -1/2) (sqrt 2)) (sqrt (/ (- 1 x) (+ 1 x)))) |
(+ (* -1/8 (* (/ (* (pow l 2) (* (sqrt 2) (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1))) (* (pow t 2) (sqrt -1/2))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (* (* (sqrt -1/2) (sqrt 2)) (sqrt (/ (- 1 x) (+ 1 x))))) |
(+ (* (* (sqrt -1/2) (sqrt 2)) (sqrt (/ (- 1 x) (+ 1 x)))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* 1/64 (/ (* (pow (- 1 x) 3) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 2)) (* (pow t 6) (* (pow (sqrt -1/2) 2) (pow (+ 1 x) 3))))) (* 1/8 (/ (* (pow (- 1 x) 3) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))))))) (sqrt -1/2)) (sqrt (/ (+ 1 x) (- 1 x))))) (* -1/8 (* (/ (* (sqrt 2) (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1)) (* (pow t 2) (sqrt -1/2))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3)))))))) |
(+ (* (* (sqrt -1/2) (sqrt 2)) (sqrt (/ (- 1 x) (+ 1 x)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (sqrt 2) (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1)) (* (pow t 2) (sqrt -1/2))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- 1 x) 4) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 3)) (* (pow t 8) (pow (+ 1 x) 4)))) (* 1/8 (/ (* (+ (* 1/64 (/ (* (pow (- 1 x) 3) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 2)) (* (pow t 6) (* (pow (sqrt -1/2) 2) (pow (+ 1 x) 3))))) (* 1/8 (/ (* (pow (- 1 x) 3) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3))))) (* (- 1 x) (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1))) (* (pow t 2) (* (pow (sqrt -1/2) 2) (+ 1 x))))))))) (sqrt -1/2)) (sqrt (/ (+ 1 x) (- 1 x))))) (* -1/2 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* 1/64 (/ (* (pow (- 1 x) 3) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 2)) (* (pow t 6) (* (pow (sqrt -1/2) 2) (pow (+ 1 x) 3))))) (* 1/8 (/ (* (pow (- 1 x) 3) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3))))))) (sqrt -1/2)) (sqrt (/ (+ 1 x) (- 1 x)))))))))) |
(* (* t (sqrt -2)) (sqrt (/ (+ 1 x) (- 1 x)))) |
(+ (* 1/2 (* (/ (* (pow l 2) (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1)) (* t (sqrt -2))) (sqrt (/ (- 1 x) (+ 1 x))))) (* (* t (sqrt -2)) (sqrt (/ (+ 1 x) (- 1 x))))) |
(+ (* (* t (sqrt -2)) (sqrt (/ (+ 1 x) (- 1 x)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow l 2) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 2)) (* (pow t 3) (pow (sqrt -2) 3))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) (* t (sqrt -2))) (sqrt (/ (- 1 x) (+ 1 x)))))))) |
(+ (* (* t (sqrt -2)) (sqrt (/ (+ 1 x) (- 1 x)))) (* (pow l 2) (+ (* 1/2 (* (/ (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) (* t (sqrt -2))) (sqrt (/ (- 1 x) (+ 1 x))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 2) (* (pow t 3) (pow (sqrt -2) 3))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (* 1/16 (* (/ (* (pow l 2) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 3)) (* (pow t 5) (pow (sqrt -2) 5))) (sqrt (/ (pow (- 1 x) 5) (pow (+ 1 x) 5)))))))))) |
(+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) |
(- (* -1 (pow l 2)) (* 2 (pow t 2))) |
(/ (* (sqrt -1) (sqrt 1/2)) t) |
(+ (* -1/4 (/ (* (pow l 2) (sqrt -1)) (* (pow t 3) (sqrt 1/2)))) (/ (* (sqrt -1) (sqrt 1/2)) t)) |
(+ (* (pow l 2) (+ (* -1/4 (/ (sqrt -1) (* (pow t 3) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* t (* (sqrt -1) (- (* 1/2 (/ 1 (pow t 6))) (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) t)) |
(+ (* (pow l 2) (+ (* -1/4 (/ (sqrt -1) (* (pow t 3) (sqrt 1/2)))) (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (* (sqrt -1) (+ (* -1/4 (/ (- (* 1/2 (/ 1 (pow t 6))) (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow t 8))))))) (sqrt 1/2))) (* 1/2 (/ (* t (* (sqrt -1) (- (* 1/2 (/ 1 (pow t 6))) (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))) (/ (* (sqrt -1) (sqrt 1/2)) t)) |
(* -1 l) |
(pow l 2) |
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) |
(+ (* 1/2 (* (/ (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x)))))))) |
(+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/16 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)) (* (pow t 5) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5)))))))))) |
(* 4 (pow t 2)) |
(+ (* 2 (pow l 2)) (* 4 (pow t 2))) |
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l) |
(* -2 (pow l 2)) |
(* (pow l 2) (- (* -2 (/ (pow t 2) (pow l 2))) 2)) |
(/ -1/2 (pow l 2)) |
(/ (- (* 1/2 (/ (pow t 2) (pow l 2))) 1/2) (pow l 2)) |
(/ (- (* -1/2 (/ (pow t 4) (pow l 4))) (+ 1/2 (* -1/2 (/ (pow t 2) (pow l 2))))) (pow l 2)) |
(/ (- (* 1/2 (/ (pow t 6) (pow l 6))) (+ 1/2 (+ (* -1/2 (/ (pow t 2) (pow l 2))) (* 1/2 (/ (pow t 4) (pow l 4)))))) (pow l 2)) |
(/ (* t (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))) l) |
(/ (+ (* -1/4 (/ (* (pow t 3) (* (sqrt -1) (sqrt 2))) (* (pow l 2) (sqrt 1/2)))) (* t (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))))) l) |
(/ (+ (* -1/2 (/ (* t (* (sqrt -1) (* (sqrt 2) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))))) (* (pow l 4) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow t 3) (* (sqrt -1) (sqrt 2))) (* (pow l 2) (sqrt 1/2)))) (* t (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))))) l) |
(/ (+ (* -1/2 (/ (* t (* (sqrt -1) (* (sqrt 2) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))))) (* (pow l 4) (sqrt 1/2)))) (+ (* -1/2 (/ (* t (* (sqrt -1) (* (sqrt 2) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/2 (pow t 6)))))) (* (pow l 6) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow t 3) (* (sqrt -1) (sqrt 2))) (* (pow l 2) (sqrt 1/2)))) (* t (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))))))) l) |
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) |
(/ (+ (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3))))) l) |
(/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))))) (pow l 4)) (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (+ (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))))) l) |
(/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- 1 x) 3) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 4)))) (* -1 (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))))) (* (- 1 x) (- (* -1 (/ (+ 1 x) (- 1 x))) 1))))))) (pow l 6)) (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))))) (pow l 4)) (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (+ (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3))))))) l) |
(* l (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1))) |
(* l (+ (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)) (* -1 (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1))))))) |
(* l (+ (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)) (+ (* -1 (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1))))) (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- 1 x) 2))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))))))) |
(* l (+ (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)) (+ (* -1 (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1))))) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- 1 x) 2))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3))))) (* -1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- 1 x) 3))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 5))))))))) |
(/ (pow l 2) (* t (* x (sqrt 2)))) |
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2))))) |
(* -1 (pow l 2)) |
(* (pow l 2) (- (* -2 (/ (pow t 2) (pow l 2))) 1)) |
(/ (* (sqrt -1) (sqrt 1/2)) l) |
(/ (+ (* -1/4 (/ (* (pow t 2) (sqrt -1)) (* (pow l 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2))) l) |
(/ (+ (* -1/2 (/ (* (sqrt -1) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))) (* (pow l 4) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow t 2) (sqrt -1)) (* (pow l 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2)))) l) |
(/ (+ (* -1/2 (/ (* (sqrt -1) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))) (* (pow l 4) (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt -1) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/2 (pow t 6)))) (* (pow l 6) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow t 2) (sqrt -1)) (* (pow l 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2))))) l) |
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
(* 2 (pow l 2)) |
(* (pow l 2) (+ 2 (* 4 (/ (pow t 2) (pow l 2))))) |
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) |
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l)) |
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l)) |
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l)) |
(* -1 (/ (* t (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))) l)) |
(* -1 (/ (+ (* -1/4 (/ (* (pow t 3) (* (sqrt -1) (sqrt 2))) (* (pow l 2) (sqrt 1/2)))) (* t (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))))) l)) |
(* -1 (/ (+ (* -1/2 (/ (* t (* (sqrt -1) (* (sqrt 2) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))))) (* (pow l 4) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow t 3) (* (sqrt -1) (sqrt 2))) (* (pow l 2) (sqrt 1/2)))) (* t (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))))) l)) |
(* -1 (/ (+ (* -1/2 (/ (* t (* (sqrt -1) (* (sqrt 2) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))))) (* (pow l 4) (sqrt 1/2)))) (+ (* -1/2 (/ (* t (* (sqrt -1) (* (sqrt 2) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/2 (pow t 6)))))) (* (pow l 6) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow t 3) (* (sqrt -1) (sqrt 2))) (* (pow l 2) (sqrt 1/2)))) (* t (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))))))) l)) |
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1))))) |
(* -1 (/ (+ (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3))))) l)) |
(* -1 (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))))) (pow l 4)) (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (+ (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))))) l)) |
(* -1 (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- 1 x) 3) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 4)))) (* -1 (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))))) (* (- 1 x) (- (* -1 (/ (+ 1 x) (- 1 x))) 1))))))) (pow l 6)) (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))))) (pow l 4)) (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (+ (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3))))))) l)) |
(* -1 (* l (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) |
(* -1 (* l (+ (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)) (* -1 (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))))))) |
(* -1 (* l (+ (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)) (+ (* -1 (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1))))) (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- 1 x) 2))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3))))))))) |
(* -1 (* l (+ (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)) (+ (* -1 (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1))))) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- 1 x) 2))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3))))) (* -1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- 1 x) 3))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 5)))))))))) |
(* -1 (/ (* (sqrt -1) (sqrt 1/2)) l)) |
(* -1 (/ (+ (* -1/4 (/ (* (pow t 2) (sqrt -1)) (* (pow l 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2))) l)) |
(* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))) (* (pow l 4) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow t 2) (sqrt -1)) (* (pow l 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2)))) l)) |
(* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))) (* (pow l 4) (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt -1) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/2 (pow t 6)))) (* (pow l 6) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow t 2) (sqrt -1)) (* (pow l 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2))))) l)) |
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))) |
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) |
(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) |
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))) |
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(- (* -2 (pow t 2)) (* 2 (pow l 2))) |
(- (* 1/2 (/ (pow t 2) (pow l 4))) (* 1/2 (/ 1 (pow l 2)))) |
(- (* (pow t 2) (+ (* -1/2 (/ (pow t 2) (pow l 6))) (* 1/2 (/ 1 (pow l 4))))) (* 1/2 (/ 1 (pow l 2)))) |
(- (* (pow t 2) (+ (* (pow t 2) (- (* 1/2 (/ (pow t 2) (pow l 8))) (* 1/2 (/ 1 (pow l 6))))) (* 1/2 (/ 1 (pow l 4))))) (* 1/2 (/ 1 (pow l 2)))) |
(* t (+ (* -1/4 (/ (* (pow t 2) (* (sqrt -1) (sqrt 2))) (* (pow l 3) (sqrt 1/2)))) (/ (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) l))) |
(* t (+ (* (pow t 2) (+ (* -1/4 (/ (* (sqrt -1) (sqrt 2)) (* (pow l 3) (sqrt 1/2)))) (* 1/2 (/ (* l (* (pow t 2) (* (sqrt -1) (* (sqrt 2) (- (* 1/2 (/ 1 (pow l 6))) (* 1/16 (/ 1 (* (pow l 6) (pow (sqrt 1/2) 2))))))))) (sqrt 1/2))))) (/ (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) l))) |
(* t (+ (* (pow t 2) (+ (* -1/4 (/ (* (sqrt -1) (sqrt 2)) (* (pow l 3) (sqrt 1/2)))) (* (pow t 2) (+ (* -1/2 (/ (* l (* (pow t 2) (* (sqrt -1) (* (sqrt 2) (+ (* -1/4 (/ (- (* 1/2 (/ 1 (pow l 6))) (* 1/16 (/ 1 (* (pow l 6) (pow (sqrt 1/2) 2))))) (* (pow l 2) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow l 8)))))))) (sqrt 1/2))) (* 1/2 (/ (* l (* (sqrt -1) (* (sqrt 2) (- (* 1/2 (/ 1 (pow l 6))) (* 1/16 (/ 1 (* (pow l 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))))) (/ (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) l))) |
(* (* t (sqrt 2)) (sqrt (/ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))))) |
(* t (+ (* (sqrt 2) (sqrt (/ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))))) (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- 1 x)) (sqrt (/ 1 (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3)))))) |
(* t (+ (* (sqrt 2) (sqrt (/ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))))) (* (pow t 2) (+ (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3) (pow (- 1 x) 2)))) (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3) (pow (- 1 x) 2)))))) (sqrt (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))))) (* (/ (* (sqrt 2) (+ 1 x)) (- 1 x)) (sqrt (/ 1 (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3)))))))) |
(* t (+ (* (sqrt 2) (sqrt (/ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))))) (* (pow t 2) (+ (* (/ (* (sqrt 2) (+ 1 x)) (- 1 x)) (sqrt (/ 1 (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3)))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3) (pow (- 1 x) 2)))) (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3) (pow (- 1 x) 2))))) (sqrt (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -8 (/ (pow (+ 1 x) 3) (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 4) (pow (- 1 x) 3)))) (* -1 (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3) (pow (- 1 x) 2)))) (/ (pow (+ 1 x) 2) (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3) (pow (- 1 x) 2))))) (* (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) (- 1 x))))))) (sqrt (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))))))))))) |
(sqrt (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))) |
(+ (sqrt (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))) (* -1 (* (/ (* (pow t 2) (+ 1 x)) (- 1 x)) (sqrt (/ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))))))) |
(+ (sqrt (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))) (* (pow t 2) (+ (* -1 (* (/ (+ 1 x) (- 1 x)) (sqrt (/ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))))))) (* -1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 2)) (pow (- 1 x) 2)) (sqrt (/ 1 (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3)))))))) |
(+ (sqrt (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))) (* (pow t 2) (+ (* -1 (* (/ (+ 1 x) (- 1 x)) (sqrt (/ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))))))) (* (pow t 2) (+ (* -1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 3)) (pow (- 1 x) 3)) (sqrt (/ 1 (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 5))))) (* -1/2 (* (/ (pow (+ 1 x) 2) (pow (- 1 x) 2)) (sqrt (/ 1 (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3)))))))))) |
(/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t) |
(- (* -2 (pow t 2)) (pow l 2)) |
(+ (* -1/4 (/ (* (pow t 2) (sqrt -1)) (* (pow l 3) (sqrt 1/2)))) (/ (* (sqrt -1) (sqrt 1/2)) l)) |
(+ (* (pow t 2) (+ (* -1/4 (/ (sqrt -1) (* (pow l 3) (sqrt 1/2)))) (* 1/2 (/ (* l (* (pow t 2) (* (sqrt -1) (- (* 1/2 (/ 1 (pow l 6))) (* 1/16 (/ 1 (* (pow l 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) l)) |
(+ (* (pow t 2) (+ (* -1/4 (/ (sqrt -1) (* (pow l 3) (sqrt 1/2)))) (* (pow t 2) (+ (* -1/2 (/ (* l (* (pow t 2) (* (sqrt -1) (+ (* -1/4 (/ (- (* 1/2 (/ 1 (pow l 6))) (* 1/16 (/ 1 (* (pow l 6) (pow (sqrt 1/2) 2))))) (* (pow l 2) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow l 8))))))) (sqrt 1/2))) (* 1/2 (/ (* l (* (sqrt -1) (- (* 1/2 (/ 1 (pow l 6))) (* 1/16 (/ 1 (* (pow l 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))) (/ (* (sqrt -1) (sqrt 1/2)) l)) |
(sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) |
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (/ (* (pow t 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))) |
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* -1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 2)) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))) |
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1/2 (* (/ (pow (+ 1 x) 2) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* 1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 3)) (pow (- x 1) 3)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 5)))))))))) |
(+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))) |
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))))) |
(* (pow t 2) (- (* -2 (/ (pow l 2) (pow t 2))) 2)) |
(/ (- (* 1/2 (/ (pow l 2) (pow t 2))) 1/2) (pow t 2)) |
(/ (- (* -1/2 (/ (pow l 4) (pow t 4))) (+ 1/2 (* -1/2 (/ (pow l 2) (pow t 2))))) (pow t 2)) |
(/ (- (* 1/2 (/ (pow l 6) (pow t 6))) (+ 1/2 (+ (* -1/2 (/ (pow l 2) (pow t 2))) (* 1/2 (/ (pow l 4) (pow t 4)))))) (pow t 2)) |
(+ (* -1/2 (/ (* (sqrt -1) (* (sqrt 2) (+ (* -1/2 (pow l 4)) (* 1/16 (/ (pow l 4) (pow (sqrt 1/2) 2)))))) (* (pow t 4) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow l 2) (* (sqrt -1) (sqrt 2))) (* (pow t 2) (sqrt 1/2)))) (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))))) |
(+ (* -1/2 (/ (* (sqrt -1) (* (sqrt 2) (+ (* -1/2 (pow l 4)) (* 1/16 (/ (pow l 4) (pow (sqrt 1/2) 2)))))) (* (pow t 4) (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt -1) (* (sqrt 2) (+ (* 1/4 (/ (* (pow l 2) (+ (* -1/2 (pow l 4)) (* 1/16 (/ (pow l 4) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/2 (pow l 6))))) (* (pow t 6) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow l 2) (* (sqrt -1) (sqrt 2))) (* (pow t 2) (sqrt 1/2)))) (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))))) |
(+ (* -1/8 (* (/ (* (sqrt 2) (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))) (* (pow t 2) (sqrt -1/2))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (* (* (sqrt -1/2) (sqrt 2)) (sqrt (/ (- 1 x) (+ 1 x))))) |
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/64 (/ (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (pow (- 1 x) 3)) (* (pow (sqrt -1/2) 2) (pow (+ 1 x) 3)))) (* 1/8 (/ (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (pow (- 1 x) 3)) (pow (+ 1 x) 3))))) (* (pow t 4) (sqrt -1/2))) (sqrt (/ (+ 1 x) (- 1 x))))) (+ (* -1/8 (* (/ (* (sqrt 2) (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))) (* (pow t 2) (sqrt -1/2))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (* (* (sqrt -1/2) (sqrt 2)) (sqrt (/ (- 1 x) (+ 1 x)))))) |
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/64 (/ (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (pow (- 1 x) 3)) (* (pow (sqrt -1/2) 2) (pow (+ 1 x) 3)))) (* 1/8 (/ (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (pow (- 1 x) 3)) (pow (+ 1 x) 3))))) (* (pow t 4) (sqrt -1/2))) (sqrt (/ (+ 1 x) (- 1 x))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3) (pow (- 1 x) 4)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) (* (+ (* 1/64 (/ (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (pow (- 1 x) 3)) (* (pow (sqrt -1/2) 2) (pow (+ 1 x) 3)))) (* 1/8 (/ (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (pow (- 1 x) 3)) (pow (+ 1 x) 3)))) (- 1 x))) (* (pow (sqrt -1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt -1/2))) (sqrt (/ (+ 1 x) (- 1 x))))) (+ (* -1/8 (* (/ (* (sqrt 2) (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))) (* (pow t 2) (sqrt -1/2))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (* (* (sqrt -1/2) (sqrt 2)) (sqrt (/ (- 1 x) (+ 1 x))))))) |
(* t (+ (* 1/2 (* (/ (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) (* (pow t 2) (sqrt -2))) (sqrt (/ (- 1 x) (+ 1 x))))) (* (sqrt -2) (sqrt (/ (+ 1 x) (- 1 x)))))) |
(* t (+ (* -1/8 (* (/ (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (* (pow t 4) (pow (sqrt -2) 3))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) (* (pow t 2) (sqrt -2))) (sqrt (/ (- 1 x) (+ 1 x))))) (* (sqrt -2) (sqrt (/ (+ 1 x) (- 1 x))))))) |
(* t (+ (* -1/8 (* (/ (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (* (pow t 4) (pow (sqrt -2) 3))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3) (* (pow t 6) (pow (sqrt -2) 5))) (sqrt (/ (pow (- 1 x) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) (* (pow t 2) (sqrt -2))) (sqrt (/ (- 1 x) (+ 1 x))))) (* (sqrt -2) (sqrt (/ (+ 1 x) (- 1 x)))))))) |
(* t (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) |
(* t (+ (sqrt 2) (+ (* 2 (/ 1 (* x (sqrt 2)))) (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))))) |
(* (pow t 2) (- (* -1 (/ (pow l 2) (pow t 2))) 2)) |
(/ (+ (* -1/4 (/ (* (pow l 2) (sqrt -1)) (* (pow t 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2))) t) |
(/ (+ (* -1/2 (/ (* (sqrt -1) (+ (* -1/2 (pow l 4)) (* 1/16 (/ (pow l 4) (pow (sqrt 1/2) 2))))) (* (pow t 4) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow l 2) (sqrt -1)) (* (pow t 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2)))) t) |
(/ (+ (* -1/2 (/ (* (sqrt -1) (+ (* -1/2 (pow l 4)) (* 1/16 (/ (pow l 4) (pow (sqrt 1/2) 2))))) (* (pow t 4) (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt -1) (+ (* 1/4 (/ (* (pow l 2) (+ (* -1/2 (pow l 4)) (* 1/16 (/ (pow l 4) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/2 (pow l 6)))) (* (pow t 6) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow l 2) (sqrt -1)) (* (pow t 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2))))) t) |
(* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))) |
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* (pow t 2) (+ 4 (* 2 (/ (pow l 2) (pow t 2))))) |
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3)))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* -1 (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1 (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))) (* 1/4 (/ (* (pow l 2) (* (sqrt -1) (sqrt 2))) (* (pow t 2) (sqrt 1/2))))) |
(+ (* -1 (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))) (+ (* 1/4 (/ (* (pow l 2) (* (sqrt -1) (sqrt 2))) (* (pow t 2) (sqrt 1/2)))) (* 1/2 (/ (* (sqrt -1) (* (sqrt 2) (+ (* -1/2 (pow l 4)) (* 1/16 (/ (pow l 4) (pow (sqrt 1/2) 2)))))) (* (pow t 4) (sqrt 1/2)))))) |
(+ (* -1 (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))) (+ (* 1/4 (/ (* (pow l 2) (* (sqrt -1) (sqrt 2))) (* (pow t 2) (sqrt 1/2)))) (+ (* 1/2 (/ (* (sqrt -1) (* (sqrt 2) (+ (* -1/2 (pow l 4)) (* 1/16 (/ (pow l 4) (pow (sqrt 1/2) 2)))))) (* (pow t 4) (sqrt 1/2)))) (* 1/2 (/ (* (sqrt -1) (* (sqrt 2) (+ (* 1/4 (/ (* (pow l 2) (+ (* -1/2 (pow l 4)) (* 1/16 (/ (pow l 4) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/2 (pow l 6))))) (* (pow t 6) (sqrt 1/2))))))) |
(* -1 (* (* (sqrt -1/2) (sqrt 2)) (sqrt (/ (- 1 x) (+ 1 x))))) |
(+ (* -1 (* (* (sqrt -1/2) (sqrt 2)) (sqrt (/ (- 1 x) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))) (* (pow t 2) (sqrt -1/2))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3)))))) |
(+ (* -1 (* (* (sqrt -1/2) (sqrt 2)) (sqrt (/ (- 1 x) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))) (* (pow t 2) (sqrt -1/2))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/64 (/ (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (pow (- 1 x) 3)) (* (pow (sqrt -1/2) 2) (pow (+ 1 x) 3)))) (* 1/8 (/ (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (pow (- 1 x) 3)) (pow (+ 1 x) 3))))) (* (pow t 4) (sqrt -1/2))) (sqrt (/ (+ 1 x) (- 1 x))))))) |
(+ (* -1 (* (* (sqrt -1/2) (sqrt 2)) (sqrt (/ (- 1 x) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))) (* (pow t 2) (sqrt -1/2))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/64 (/ (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (pow (- 1 x) 3)) (* (pow (sqrt -1/2) 2) (pow (+ 1 x) 3)))) (* 1/8 (/ (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (pow (- 1 x) 3)) (pow (+ 1 x) 3))))) (* (pow t 4) (sqrt -1/2))) (sqrt (/ (+ 1 x) (- 1 x))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3) (pow (- 1 x) 4)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) (* (+ (* 1/64 (/ (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (pow (- 1 x) 3)) (* (pow (sqrt -1/2) 2) (pow (+ 1 x) 3)))) (* 1/8 (/ (* (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (pow (- 1 x) 3)) (pow (+ 1 x) 3)))) (- 1 x))) (* (pow (sqrt -1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt -1/2))) (sqrt (/ (+ 1 x) (- 1 x)))))))) |
(* -1 (* (* t (sqrt -2)) (sqrt (/ (+ 1 x) (- 1 x))))) |
(* -1 (* t (+ (* 1/2 (* (/ (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) (* (pow t 2) (sqrt -2))) (sqrt (/ (- 1 x) (+ 1 x))))) (* (sqrt -2) (sqrt (/ (+ 1 x) (- 1 x))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (* (pow t 4) (pow (sqrt -2) 3))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) (* (pow t 2) (sqrt -2))) (sqrt (/ (- 1 x) (+ 1 x))))) (* (sqrt -2) (sqrt (/ (+ 1 x) (- 1 x)))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (* (pow t 4) (pow (sqrt -2) 3))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3) (* (pow t 6) (pow (sqrt -2) 5))) (sqrt (/ (pow (- 1 x) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) (* (pow t 2) (sqrt -2))) (sqrt (/ (- 1 x) (+ 1 x))))) (* (sqrt -2) (sqrt (/ (+ 1 x) (- 1 x))))))))) |
(* -1 (* t (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))))) |
(* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2))))))) |
(* -1 (/ (* (sqrt -1) (sqrt 1/2)) t)) |
(* -1 (/ (+ (* -1/4 (/ (* (pow l 2) (sqrt -1)) (* (pow t 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2))) t)) |
(* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ (* -1/2 (pow l 4)) (* 1/16 (/ (pow l 4) (pow (sqrt 1/2) 2))))) (* (pow t 4) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow l 2) (sqrt -1)) (* (pow t 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2)))) t)) |
(* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ (* -1/2 (pow l 4)) (* 1/16 (/ (pow l 4) (pow (sqrt 1/2) 2))))) (* (pow t 4) (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt -1) (+ (* 1/4 (/ (* (pow l 2) (+ (* -1/2 (pow l 4)) (* 1/16 (/ (pow l 4) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/2 (pow l 6)))) (* (pow t 6) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow l 2) (sqrt -1)) (* (pow t 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2))))) t)) |
(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | l | @ | inf | ((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (* (sqrt 1/2) (sqrt 2))) (sqrt (/ (- x 1) (- x -1))) (/ (- x 1) (- x -1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (sqrt 2) (- (neg (+ (* (* t t) 2) (* l l))) (* l l)) (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l)))) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg (+ (* (* t t) 2) (* l l))) (sqrt (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l)))) (neg l) (* l l) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* 2 (+ (* (* t t) 2) (* l l)))) |
| 30.0ms | t | @ | inf | ((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (* (sqrt 1/2) (sqrt 2))) (sqrt (/ (- x 1) (- x -1))) (/ (- x 1) (- x -1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (sqrt 2) (- (neg (+ (* (* t t) 2) (* l l))) (* l l)) (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l)))) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg (+ (* (* t t) 2) (* l l))) (sqrt (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l)))) (neg l) (* l l) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* 2 (+ (* (* t t) 2) (* l l)))) |
| 14.0ms | l | @ | 0 | ((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (* (sqrt 1/2) (sqrt 2))) (sqrt (/ (- x 1) (- x -1))) (/ (- x 1) (- x -1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (sqrt 2) (- (neg (+ (* (* t t) 2) (* l l))) (* l l)) (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l)))) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg (+ (* (* t t) 2) (* l l))) (sqrt (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l)))) (neg l) (* l l) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* 2 (+ (* (* t t) 2) (* l l)))) |
| 12.0ms | x | @ | 0 | ((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (* (sqrt 1/2) (sqrt 2))) (sqrt (/ (- x 1) (- x -1))) (/ (- x 1) (- x -1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (sqrt 2) (- (neg (+ (* (* t t) 2) (* l l))) (* l l)) (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l)))) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg (+ (* (* t t) 2) (* l l))) (sqrt (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l)))) (neg l) (* l l) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* 2 (+ (* (* t t) 2) (* l l)))) |
| 12.0ms | x | @ | -inf | ((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (* (sqrt 1/2) (sqrt 2))) (sqrt (/ (- x 1) (- x -1))) (/ (- x 1) (- x -1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 1/2) (sqrt 2)) (sqrt 1/2) (sqrt 2) (- (neg (+ (* (* t t) 2) (* l l))) (* l l)) (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l)))) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (neg (+ (* (* t t) 2) (* l l))) (sqrt (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l)))) (neg l) (* l l) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* 2 (+ (* (* t t) 2) (* l l)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1697 | 21663 |
| 1 | 5913 | 19086 |
| 0 | 8735 | 18170 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) |
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(* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) |
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(sqrt -1) |
(+ (sqrt -1) (/ x (sqrt -1))) |
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-1 |
(- (* 2 x) 1) |
(- (* x (+ 2 (* -2 x))) 1) |
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1) |
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(/ (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) x) |
(/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x) |
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(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/2 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/8 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))))))) (* (pow x 3) (sqrt 1/2)))) (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))))) |
(+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (+ (* 1/2 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 2))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 3))) (+ (* 1/2 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 2))) (* (sqrt 1/2) (sqrt 2))))) |
1 |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))) |
(- 1 (* 2 (/ 1 x))) |
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))) |
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) |
(* (* t (sqrt 2)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))) |
(+ (* 1/2 (* (/ (* t (* (sqrt 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) x) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))) |
(+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2))) (+ (* -1 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 3))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 3))))))) (pow x 2)) (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))) (+ (* 1/2 (* (/ (* t (* (sqrt 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) x) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))))) |
(+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2))) (+ (* -1 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 3))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 3))))))) (pow x 2)) (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -1 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2))) (+ (* -1 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 3))) (+ (* -1/2 (/ (* (+ (* -1 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2))) (+ (* -1 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 3))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 3))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))) (/ (* (+ (* -1 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2))) (* -1 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 3)))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))))) (pow x 3)) (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))) (+ (* 1/2 (* (/ (* t (* (sqrt 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) x) (sqrt (/ 1 (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))))) |
(sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))) |
(+ (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1/2 (* (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) x) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))))) |
(+ (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* -1/2 (* (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) x) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))) (* 1/2 (* (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))) (pow x 2)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))))) |
(+ (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* -1/2 (* (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) x) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))) (+ (* 1/2 (* (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1/2 (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))) (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))) (pow x 3)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))) (* 1/2 (* (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))) (pow x 2)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))))))) |
(* t (sqrt 2)) |
(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2)))))) |
(+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))) |
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))) |
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 3) (sqrt 2))))) (+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))))) |
(+ (* -1 (/ (+ (* 1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (sqrt 1/2)))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (* x (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))) (+ (* -1/8 (/ (* (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (+ (* -1/8 (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 6))) (* 1/2 (/ (* (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2)))))))) (* x (sqrt 1/2))))) x)) (* 1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2))) |
(* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2))) (/ (* (sqrt 1/2) (sqrt 2)) x)) |
(+ (* -1 (/ (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) x))) x)) (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1 (/ (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* -1 (/ (+ (* -1/2 (* (sqrt 1/2) (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (* (sqrt 2) (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))))) x))) x))) x)) (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) |
(pow (sqrt -1) 2) |
(+ (/ 1 x) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2)) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) |
(+ (* -1/2 (* (/ (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2))) (/ (pow l 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2)))))) x) (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))) (* (* t (sqrt 2)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))) |
(+ (* -1 (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (- (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2))) (+ (* 1/4 (* (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) (pow (- (+ (* 2 (/ (pow t 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2))) (/ (pow l 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2)))) 2))) (+ (* 2 (/ (pow t 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2))) (+ (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2))) (/ (pow l 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2))))) (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))) (/ (pow l 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2)))))))) x) (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2)))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2))) (/ (pow l 2) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))) 2)))))) (sqrt (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))) x)) (* (* t (sqrt 2)) (sqrt (/ 1 (+ (* -1 (pow l 2)) (+ (* 2 (pow t 2)) (pow l 2))))))) |
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* x (sqrt 2))))) (* 1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (sqrt 2))))) x)) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2))) |
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) |
(+ (* -1/8 (* (/ (* (pow l 2) (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1))))) (* -1/8 (* (/ (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3)))))))) |
(+ (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)) (* (pow t 8) (pow (+ 1 x) 4)))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (pow t 2) (* (pow (sqrt 1/2) 2) (+ 1 x))))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1))))) (* -1/2 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1)))))))))) |
(* -2 (pow t 2)) |
(- (* -2 (pow l 2)) (* 2 (pow t 2))) |
(/ -1/2 (pow t 2)) |
(- (* 1/2 (/ (pow l 2) (pow t 4))) (* 1/2 (/ 1 (pow t 2)))) |
(- (* (pow l 2) (+ (* -1/2 (/ (pow l 2) (pow t 6))) (* 1/2 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))) |
(- (* (pow l 2) (+ (* (pow l 2) (- (* 1/2 (/ (pow l 2) (pow t 8))) (* 1/2 (/ 1 (pow t 6))))) (* 1/2 (/ 1 (pow t 4))))) (* 1/2 (/ 1 (pow t 2)))) |
(+ (* -1/4 (/ (* (pow l 2) (* (sqrt -1) (sqrt 2))) (* (pow t 2) (sqrt 1/2)))) (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) (* (pow l 2) (+ (* -1/4 (/ (* (sqrt -1) (sqrt 2)) (* (pow t 2) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* (pow t 2) (* (sqrt -1) (* (sqrt 2) (- (* 1/2 (/ 1 (pow t 6))) (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))))) (sqrt 1/2)))))) |
(+ (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) (* (pow l 2) (+ (* -1/4 (/ (* (sqrt -1) (sqrt 2)) (* (pow t 2) (sqrt 1/2)))) (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* (pow t 2) (* (sqrt -1) (* (sqrt 2) (+ (* -1/4 (/ (- (* 1/2 (/ 1 (pow t 6))) (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow t 8)))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow t 2) (* (sqrt -1) (* (sqrt 2) (- (* 1/2 (/ 1 (pow t 6))) (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)))))))) |
(* (* (sqrt -1/2) (sqrt 2)) (sqrt (/ (- 1 x) (+ 1 x)))) |
(+ (* -1/8 (* (/ (* (pow l 2) (* (sqrt 2) (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1))) (* (pow t 2) (sqrt -1/2))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (* (* (sqrt -1/2) (sqrt 2)) (sqrt (/ (- 1 x) (+ 1 x))))) |
(+ (* (* (sqrt -1/2) (sqrt 2)) (sqrt (/ (- 1 x) (+ 1 x)))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* 1/64 (/ (* (pow (- 1 x) 3) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 2)) (* (pow t 6) (* (pow (sqrt -1/2) 2) (pow (+ 1 x) 3))))) (* 1/8 (/ (* (pow (- 1 x) 3) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))))))) (sqrt -1/2)) (sqrt (/ (+ 1 x) (- 1 x))))) (* -1/8 (* (/ (* (sqrt 2) (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1)) (* (pow t 2) (sqrt -1/2))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3)))))))) |
(+ (* (* (sqrt -1/2) (sqrt 2)) (sqrt (/ (- 1 x) (+ 1 x)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (sqrt 2) (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1)) (* (pow t 2) (sqrt -1/2))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- 1 x) 4) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 3)) (* (pow t 8) (pow (+ 1 x) 4)))) (* 1/8 (/ (* (+ (* 1/64 (/ (* (pow (- 1 x) 3) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 2)) (* (pow t 6) (* (pow (sqrt -1/2) 2) (pow (+ 1 x) 3))))) (* 1/8 (/ (* (pow (- 1 x) 3) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3))))) (* (- 1 x) (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1))) (* (pow t 2) (* (pow (sqrt -1/2) 2) (+ 1 x))))))))) (sqrt -1/2)) (sqrt (/ (+ 1 x) (- 1 x))))) (* -1/2 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* 1/64 (/ (* (pow (- 1 x) 3) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 2)) (* (pow t 6) (* (pow (sqrt -1/2) 2) (pow (+ 1 x) 3))))) (* 1/8 (/ (* (pow (- 1 x) 3) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3))))))) (sqrt -1/2)) (sqrt (/ (+ 1 x) (- 1 x)))))))))) |
(* (* t (sqrt -2)) (sqrt (/ (+ 1 x) (- 1 x)))) |
(+ (* 1/2 (* (/ (* (pow l 2) (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1)) (* t (sqrt -2))) (sqrt (/ (- 1 x) (+ 1 x))))) (* (* t (sqrt -2)) (sqrt (/ (+ 1 x) (- 1 x))))) |
(+ (* (* t (sqrt -2)) (sqrt (/ (+ 1 x) (- 1 x)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow l 2) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 2)) (* (pow t 3) (pow (sqrt -2) 3))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) (* t (sqrt -2))) (sqrt (/ (- 1 x) (+ 1 x)))))))) |
(+ (* (* t (sqrt -2)) (sqrt (/ (+ 1 x) (- 1 x)))) (* (pow l 2) (+ (* 1/2 (* (/ (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) (* t (sqrt -2))) (sqrt (/ (- 1 x) (+ 1 x))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 2) (* (pow t 3) (pow (sqrt -2) 3))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (* 1/16 (* (/ (* (pow l 2) (pow (- (* -1 (+ (/ 1 (- 1 x)) (/ x (- 1 x)))) 1) 3)) (* (pow t 5) (pow (sqrt -2) 5))) (sqrt (/ (pow (- 1 x) 5) (pow (+ 1 x) 5)))))))))) |
(+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) |
(- (* -1 (pow l 2)) (* 2 (pow t 2))) |
(/ (* (sqrt -1) (sqrt 1/2)) t) |
(+ (* -1/4 (/ (* (pow l 2) (sqrt -1)) (* (pow t 3) (sqrt 1/2)))) (/ (* (sqrt -1) (sqrt 1/2)) t)) |
(+ (* (pow l 2) (+ (* -1/4 (/ (sqrt -1) (* (pow t 3) (sqrt 1/2)))) (* 1/2 (/ (* (pow l 2) (* t (* (sqrt -1) (- (* 1/2 (/ 1 (pow t 6))) (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))) (/ (* (sqrt -1) (sqrt 1/2)) t)) |
(+ (* (pow l 2) (+ (* -1/4 (/ (sqrt -1) (* (pow t 3) (sqrt 1/2)))) (* (pow l 2) (+ (* -1/2 (/ (* (pow l 2) (* t (* (sqrt -1) (+ (* -1/4 (/ (- (* 1/2 (/ 1 (pow t 6))) (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow t 8))))))) (sqrt 1/2))) (* 1/2 (/ (* t (* (sqrt -1) (- (* 1/2 (/ 1 (pow t 6))) (* 1/16 (/ 1 (* (pow t 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))) (/ (* (sqrt -1) (sqrt 1/2)) t)) |
(* -1 l) |
(pow l 2) |
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) |
(+ (* 1/2 (* (/ (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x)))))))) |
(+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/16 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)) (* (pow t 5) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5)))))))))) |
(* 4 (pow t 2)) |
(+ (* 2 (pow l 2)) (* 4 (pow t 2))) |
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l) |
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(* -2 (pow l 2)) |
(* (pow l 2) (- (* -2 (/ (pow t 2) (pow l 2))) 2)) |
(/ -1/2 (pow l 2)) |
(/ (- (* 1/2 (/ (pow t 2) (pow l 2))) 1/2) (pow l 2)) |
(/ (- (* -1/2 (/ (pow t 4) (pow l 4))) (+ 1/2 (* -1/2 (/ (pow t 2) (pow l 2))))) (pow l 2)) |
(/ (- (* 1/2 (/ (pow t 6) (pow l 6))) (+ 1/2 (+ (* -1/2 (/ (pow t 2) (pow l 2))) (* 1/2 (/ (pow t 4) (pow l 4)))))) (pow l 2)) |
(/ (* t (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))) l) |
(/ (+ (* -1/4 (/ (* (pow t 3) (* (sqrt -1) (sqrt 2))) (* (pow l 2) (sqrt 1/2)))) (* t (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))))) l) |
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(* l (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1))) |
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(/ (pow l 2) (* t (* x (sqrt 2)))) |
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2))))) |
(* -1 (pow l 2)) |
(* (pow l 2) (- (* -2 (/ (pow t 2) (pow l 2))) 1)) |
(/ (* (sqrt -1) (sqrt 1/2)) l) |
(/ (+ (* -1/4 (/ (* (pow t 2) (sqrt -1)) (* (pow l 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2))) l) |
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(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
(* 2 (pow l 2)) |
(* (pow l 2) (+ 2 (* 4 (/ (pow t 2) (pow l 2))))) |
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) |
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l)) |
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(* -1 (/ (* t (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))) l)) |
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(* -1 (/ (+ (* -1/2 (/ (* t (* (sqrt -1) (* (sqrt 2) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))))) (* (pow l 4) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow t 3) (* (sqrt -1) (sqrt 2))) (* (pow l 2) (sqrt 1/2)))) (* t (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))))) l)) |
(* -1 (/ (+ (* -1/2 (/ (* t (* (sqrt -1) (* (sqrt 2) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))))) (* (pow l 4) (sqrt 1/2)))) (+ (* -1/2 (/ (* t (* (sqrt -1) (* (sqrt 2) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/2 (pow t 6)))))) (* (pow l 6) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow t 3) (* (sqrt -1) (sqrt 2))) (* (pow l 2) (sqrt 1/2)))) (* t (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))))))) l)) |
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1))))) |
(* -1 (/ (+ (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3))))) l)) |
(* -1 (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))))) (pow l 4)) (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (+ (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))))) l)) |
(* -1 (/ (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- 1 x) 3) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 4)))) (* -1 (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))))) (* (- 1 x) (- (* -1 (/ (+ 1 x) (- 1 x))) 1))))))) (pow l 6)) (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- 1 x) 2) (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))))) (pow l 4)) (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (+ (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3))))))) l)) |
(* -1 (* l (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))) |
(* -1 (* l (+ (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)) (* -1 (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1)))))))) |
(* -1 (* l (+ (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)) (+ (* -1 (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1))))) (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- 1 x) 2))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3))))))))) |
(* -1 (* l (+ (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)) (+ (* -1 (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1))))) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- 1 x) 2))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3))))) (* -1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- 1 x) 3))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 5)))))))))) |
(* -1 (/ (* (sqrt -1) (sqrt 1/2)) l)) |
(* -1 (/ (+ (* -1/4 (/ (* (pow t 2) (sqrt -1)) (* (pow l 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2))) l)) |
(* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))) (* (pow l 4) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow t 2) (sqrt -1)) (* (pow l 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2)))) l)) |
(* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))) (* (pow l 4) (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt -1) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/2 (pow t 6)))) (* (pow l 6) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow t 2) (sqrt -1)) (* (pow l 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2))))) l)) |
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))) |
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) |
(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) |
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))) |
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))))) |
(- (* -2 (pow t 2)) (* 2 (pow l 2))) |
(- (* 1/2 (/ (pow t 2) (pow l 4))) (* 1/2 (/ 1 (pow l 2)))) |
(- (* (pow t 2) (+ (* -1/2 (/ (pow t 2) (pow l 6))) (* 1/2 (/ 1 (pow l 4))))) (* 1/2 (/ 1 (pow l 2)))) |
(- (* (pow t 2) (+ (* (pow t 2) (- (* 1/2 (/ (pow t 2) (pow l 8))) (* 1/2 (/ 1 (pow l 6))))) (* 1/2 (/ 1 (pow l 4))))) (* 1/2 (/ 1 (pow l 2)))) |
(* t (+ (* -1/4 (/ (* (pow t 2) (* (sqrt -1) (sqrt 2))) (* (pow l 3) (sqrt 1/2)))) (/ (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) l))) |
(* t (+ (* (pow t 2) (+ (* -1/4 (/ (* (sqrt -1) (sqrt 2)) (* (pow l 3) (sqrt 1/2)))) (* 1/2 (/ (* l (* (pow t 2) (* (sqrt -1) (* (sqrt 2) (- (* 1/2 (/ 1 (pow l 6))) (* 1/16 (/ 1 (* (pow l 6) (pow (sqrt 1/2) 2))))))))) (sqrt 1/2))))) (/ (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) l))) |
(* t (+ (* (pow t 2) (+ (* -1/4 (/ (* (sqrt -1) (sqrt 2)) (* (pow l 3) (sqrt 1/2)))) (* (pow t 2) (+ (* -1/2 (/ (* l (* (pow t 2) (* (sqrt -1) (* (sqrt 2) (+ (* -1/4 (/ (- (* 1/2 (/ 1 (pow l 6))) (* 1/16 (/ 1 (* (pow l 6) (pow (sqrt 1/2) 2))))) (* (pow l 2) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow l 8)))))))) (sqrt 1/2))) (* 1/2 (/ (* l (* (sqrt -1) (* (sqrt 2) (- (* 1/2 (/ 1 (pow l 6))) (* 1/16 (/ 1 (* (pow l 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))))) (/ (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) l))) |
(* (* t (sqrt 2)) (sqrt (/ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))))) |
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(/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t) |
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(+ (* (pow t 2) (+ (* -1/4 (/ (sqrt -1) (* (pow l 3) (sqrt 1/2)))) (* (pow t 2) (+ (* -1/2 (/ (* l (* (pow t 2) (* (sqrt -1) (+ (* -1/4 (/ (- (* 1/2 (/ 1 (pow l 6))) (* 1/16 (/ 1 (* (pow l 6) (pow (sqrt 1/2) 2))))) (* (pow l 2) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow l 8))))))) (sqrt 1/2))) (* 1/2 (/ (* l (* (sqrt -1) (- (* 1/2 (/ 1 (pow l 6))) (* 1/16 (/ 1 (* (pow l 6) (pow (sqrt 1/2) 2))))))) (sqrt 1/2))))))) (/ (* (sqrt -1) (sqrt 1/2)) l)) |
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(* (pow t 2) (- (* -2 (/ (pow l 2) (pow t 2))) 2)) |
(/ (- (* 1/2 (/ (pow l 2) (pow t 2))) 1/2) (pow t 2)) |
(/ (- (* -1/2 (/ (pow l 4) (pow t 4))) (+ 1/2 (* -1/2 (/ (pow l 2) (pow t 2))))) (pow t 2)) |
(/ (- (* 1/2 (/ (pow l 6) (pow t 6))) (+ 1/2 (+ (* -1/2 (/ (pow l 2) (pow t 2))) (* 1/2 (/ (pow l 4) (pow t 4)))))) (pow t 2)) |
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(* t (+ (* -1/8 (* (/ (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (* (pow t 4) (pow (sqrt -2) 3))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3) (* (pow t 6) (pow (sqrt -2) 5))) (sqrt (/ (pow (- 1 x) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) (* (pow t 2) (sqrt -2))) (sqrt (/ (- 1 x) (+ 1 x))))) (* (sqrt -2) (sqrt (/ (+ 1 x) (- 1 x)))))))) |
(* t (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) |
(* t (+ (sqrt 2) (+ (* 2 (/ 1 (* x (sqrt 2)))) (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))))) |
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(/ (+ (* -1/4 (/ (* (pow l 2) (sqrt -1)) (* (pow t 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2))) t) |
(/ (+ (* -1/2 (/ (* (sqrt -1) (+ (* -1/2 (pow l 4)) (* 1/16 (/ (pow l 4) (pow (sqrt 1/2) 2))))) (* (pow t 4) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow l 2) (sqrt -1)) (* (pow t 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2)))) t) |
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(* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))) |
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
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(* (pow t 2) (+ 4 (* 2 (/ (pow l 2) (pow t 2))))) |
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(* -1 (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1 (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))) (* 1/4 (/ (* (pow l 2) (* (sqrt -1) (sqrt 2))) (* (pow t 2) (sqrt 1/2))))) |
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(* -1 (* (* (sqrt -1/2) (sqrt 2)) (sqrt (/ (- 1 x) (+ 1 x))))) |
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(* -1 (* (* t (sqrt -2)) (sqrt (/ (+ 1 x) (- 1 x))))) |
(* -1 (* t (+ (* 1/2 (* (/ (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) (* (pow t 2) (sqrt -2))) (sqrt (/ (- 1 x) (+ 1 x))))) (* (sqrt -2) (sqrt (/ (+ 1 x) (- 1 x))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (* (pow t 4) (pow (sqrt -2) 3))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) (* (pow t 2) (sqrt -2))) (sqrt (/ (- 1 x) (+ 1 x))))) (* (sqrt -2) (sqrt (/ (+ 1 x) (- 1 x)))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 2) (* (pow t 4) (pow (sqrt -2) 3))) (sqrt (/ (pow (- 1 x) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3) (* (pow t 6) (pow (sqrt -2) 5))) (sqrt (/ (pow (- 1 x) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) (* (pow t 2) (sqrt -2))) (sqrt (/ (- 1 x) (+ 1 x))))) (* (sqrt -2) (sqrt (/ (+ 1 x) (- 1 x))))))))) |
(* -1 (* t (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))))) |
(* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2))))))) |
(* -1 (/ (* (sqrt -1) (sqrt 1/2)) t)) |
(* -1 (/ (+ (* -1/4 (/ (* (pow l 2) (sqrt -1)) (* (pow t 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2))) t)) |
(* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ (* -1/2 (pow l 4)) (* 1/16 (/ (pow l 4) (pow (sqrt 1/2) 2))))) (* (pow t 4) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow l 2) (sqrt -1)) (* (pow t 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2)))) t)) |
(* -1 (/ (+ (* -1/2 (/ (* (sqrt -1) (+ (* -1/2 (pow l 4)) (* 1/16 (/ (pow l 4) (pow (sqrt 1/2) 2))))) (* (pow t 4) (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt -1) (+ (* 1/4 (/ (* (pow l 2) (+ (* -1/2 (pow l 4)) (* 1/16 (/ (pow l 4) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/2 (pow l 6)))) (* (pow t 6) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow l 2) (sqrt -1)) (* (pow t 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2))))) t)) |
(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))) |
| Outputs |
|---|
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
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(+ (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) (fma.f64 (*.f64 t x) (*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 l l) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) (pow.f64 (+.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 l l) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal -2 binary64)) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 l l) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (+.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 l l) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 2 binary64)))))))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* x (+ (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (* (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (+ (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
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(* l (+ (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)) (+ (* -1 (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1))))) (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- 1 x) 2))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3)))))))) |
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(* l (+ (sqrt (- (* -1 (/ (+ 1 x) (- 1 x))) 1)) (+ (* -1 (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- 1 x))) (sqrt (/ 1 (- (* -1 (/ (+ 1 x) (- 1 x))) 1))))) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- 1 x) 2))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 3))))) (* -1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- 1 x) 3))) (sqrt (/ 1 (pow (- (* -1 (/ (+ 1 x) (- 1 x))) 1) 5))))))))) |
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(/ (pow l 2) (* t (* x (sqrt 2)))) |
(/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2))))) |
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(* -1 (pow l 2)) |
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(* (pow l 2) (- (* -2 (/ (pow t 2) (pow l 2))) 1)) |
(*.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal -2 binary64) #s(literal -1 binary64)) (*.f64 l l)) |
(/ (* (sqrt -1) (sqrt 1/2)) l) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) l)) |
(/ (+ (* -1/4 (/ (* (pow t 2) (sqrt -1)) (* (pow l 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2))) l) |
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(/ (+ (* -1/2 (/ (* (sqrt -1) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))) (* (pow l 4) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow t 2) (sqrt -1)) (* (pow l 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2)))) l) |
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(/ (+ (* -1/2 (/ (* (sqrt -1) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))) (* (pow l 4) (sqrt 1/2)))) (+ (* -1/2 (/ (* (sqrt -1) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1/2 (pow t 4)) (* 1/16 (/ (pow t 4) (pow (sqrt 1/2) 2))))) (pow (sqrt 1/2) 2))) (* 1/2 (pow t 6)))) (* (pow l 6) (sqrt 1/2)))) (+ (* -1/4 (/ (* (pow t 2) (sqrt -1)) (* (pow l 2) (sqrt 1/2)))) (* (sqrt -1) (sqrt 1/2))))) l) |
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(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) |
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) |
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
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(* 2 (pow l 2)) |
(*.f64 (*.f64 l l) #s(literal 2 binary64)) |
(* (pow l 2) (+ 2 (* 4 (/ (pow t 2) (pow l 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 t t) (*.f64 l l)) #s(literal 4 binary64) #s(literal 2 binary64)) (*.f64 l l)) |
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) |
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l)) |
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l)) |
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l)) |
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(* -1 (/ (* t (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))) l)) |
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(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))) |
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(* t (+ (* (pow t 2) (+ (* -1/4 (/ (* (sqrt -1) (sqrt 2)) (* (pow l 3) (sqrt 1/2)))) (* (pow t 2) (+ (* -1/2 (/ (* l (* (pow t 2) (* (sqrt -1) (* (sqrt 2) (+ (* -1/4 (/ (- (* 1/2 (/ 1 (pow l 6))) (* 1/16 (/ 1 (* (pow l 6) (pow (sqrt 1/2) 2))))) (* (pow l 2) (pow (sqrt 1/2) 2)))) (* 1/2 (/ 1 (pow l 8)))))))) (sqrt 1/2))) (* 1/2 (/ (* l (* (sqrt -1) (* (sqrt 2) (- (* 1/2 (/ 1 (pow l 6))) (* 1/16 (/ 1 (* (pow l 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))))))) (/ (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) l))) |
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(* t (+ (* (sqrt 2) (sqrt (/ 1 (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2)))))) (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- 1 x)) (sqrt (/ 1 (pow (+ (* -1 (/ (* (pow l 2) (+ 1 x)) (- 1 x))) (* -1 (pow l 2))) 3)))))) |
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(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(*.f64 (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) |
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(*.f64 (neg.f64 t) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 t t) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 t t) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 t #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (*.f64 t t) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 422 |
| 0 | 90 | 399 |
| 1 | 375 | 389 |
| 2 | 3272 | 385 |
| 0 | 9351 | 382 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
(-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)) |
(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) |
(neg.f64 l) |
(*.f64 l l) |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) |
| Outputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
(pow.f64 (exp.f64 (-.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log1p.f64 x))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))) (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (fma.f64 x x x) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log1p.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
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(+.f64 (*.f64 (neg.f64 l) l) (*.f64 #s(literal -2 binary64) (*.f64 t t))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 l l))))) |
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 l l) (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 l l))) (pow.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 l l))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (*.f64 l l) (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 l l))) (pow.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 l l))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 l l) (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 l l))) (pow.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l)))))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) #s(literal -1/4 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))))))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))))) |
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l)))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal -2 binary64) (*.f64 t t) (fma.f64 (neg.f64 l) l (*.f64 (neg.f64 l) l))))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) l) |
(*.f64 l #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 l #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 l l (*.f64 #s(literal 0 binary64) l))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 l) l)) (neg.f64 (+.f64 #s(literal 0 binary64) l))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 l #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 l l (*.f64 #s(literal 0 binary64) l)))) |
(/.f64 (*.f64 (neg.f64 l) l) (+.f64 #s(literal 0 binary64) l)) |
(neg.f64 l) |
(-.f64 #s(literal 0 binary64) l) |
(+.f64 #s(literal 0 binary64) (neg.f64 l)) |
(*.f64 (exp.f64 (log.f64 l)) (exp.f64 (log.f64 l))) |
(*.f64 (neg.f64 l) (neg.f64 l)) |
(*.f64 l l) |
(pow.f64 (exp.f64 (log.f64 l)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 l) #s(literal 2 binary64)) |
(pow.f64 (*.f64 l l) #s(literal 1 binary64)) |
(pow.f64 l #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))) |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) x) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 (neg.f64 l) l)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))))) (neg.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 (neg.f64 l) l)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))))) (neg.f64 (-.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))))) (neg.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (*.f64 l l) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 t #s(literal 6 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (*.f64 l l) #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 (neg.f64 l) l))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)))) (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64)))) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 (neg.f64 l) l))) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64)))) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (*.f64 l l) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 t #s(literal 6 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (*.f64 l l) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) l) l (*.f64 #s(literal 4 binary64) (*.f64 t t))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 t #s(literal 2 binary64))) t (*.f64 (*.f64 l l) #s(literal 2 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 t t) (*.f64 (*.f64 l l) #s(literal 2 binary64))) |
(fma.f64 (*.f64 t #s(literal 2 binary64)) (*.f64 t #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 l l) #s(literal 2 binary64))) |
(fma.f64 (*.f64 l l) #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (*.f64 t t))) |
(fma.f64 (*.f64 t t) #s(literal 4 binary64) (*.f64 (*.f64 l l) #s(literal 2 binary64))) |
(fma.f64 l (*.f64 l #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 t t))) |
(fma.f64 t (*.f64 (*.f64 t #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 l l) (*.f64 #s(literal 4 binary64) (*.f64 t t))) |
(+.f64 (*.f64 (*.f64 l l) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 t t))) |
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (*.f64 l l) #s(literal 2 binary64))) |
Compiled 58 556 to 4 516 computations (92.3% saved)
24 alts after pruning (23 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 824 | 16 | 840 |
| Fresh | 4 | 7 | 11 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 832 | 24 | 856 |
| Status | Accuracy | Program |
|---|---|---|
| 16.8% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))) | |
| 31.1% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))) | |
| 36.4% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l))))) | |
| ▶ | 2.6% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))) |
| 54.2% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))) | |
| 43.1% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64))))) | |
| 52.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) | |
| 70.7% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(approx (* 2 (+ (* (* t t) 2) (* l l))) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) | |
| ▶ | 52.2% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
| 3.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))) | |
| 7.8% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))) | |
| 3.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) #s(literal -1 binary64))) l))) | |
| 40.8% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (sqrt.f64 (fma.f64 (neg.f64 l) l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) | |
| 42.0% | (*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))) | |
| 37.6% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) | |
| 18.3% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) | |
| 25.5% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) | |
| ▶ | 73.7% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
| 5.2% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) | |
| ✓ | 73.2% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
| 73.7% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ (- x 1) (- x -1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) | |
| ▶ | 75.7% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
| ▶ | 74.3% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
| 40.8% | #s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
Compiled 1 991 to 1 276 computations (35.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | |
| cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) | |
| cost-diff | 1024 | (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) | |
| cost-diff | 0 | (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | |
| cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))) | |
| cost-diff | 0 | #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 531 |
| 0 | 87 | 521 |
| 1 | 163 | 518 |
| 2 | 342 | 512 |
| 3 | 805 | 512 |
| 4 | 3212 | 512 |
| 5 | 7808 | 512 |
| 0 | 8043 | 509 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))) |
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) |
(*.f64 l l) |
l |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) |
(*.f64 t t) |
(*.f64 l l) |
l |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
x |
| Outputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))))) |
(*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) |
(sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (*.f64 l l))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))) |
(sqrt.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (*.f64 l l)))) |
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)) |
(neg.f64 (fma.f64 (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x) (*.f64 l l))) |
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) |
(*.f64 (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) |
(*.f64 l l) |
l |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) |
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/2 binary64) (*.f64 t t)) x) t)) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) |
(*.f64 t t) |
(*.f64 l l) |
l |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.4453125 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) | |
| accuracy | 0.4453125 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | |
| accuracy | 15.636447744789121 | #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) | |
| accuracy | 23.809360526345397 | (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) | |
| accuracy | 0.4453125 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | |
| accuracy | 21.95513844577668 | (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)) | |
| accuracy | 24.791950045964946 | (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))) | |
| accuracy | 33.13275599222918 | #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) | |
| accuracy | 0.00390625 | (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) | |
| accuracy | 1.0 | (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 1.0057468527313957 | #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) | |
| accuracy | 15.52877151486843 | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) | |
| accuracy | 16.42678957682907 | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (-.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.00390625 | (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) | |
| accuracy | 15.52877151486843 | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
| 46.0ms | 86× | 1 | valid |
| 46.0ms | 161× | 0 | valid |
| 6.0ms | 9× | 2 | valid |
Compiled 951 to 101 computations (89.4% saved)
ival-mult: 21.0ms (31% of total)ival-div: 11.0ms (16.2% of total)ival-sqrt: 11.0ms (16.2% of total)ival-add: 9.0ms (13.3% of total)ival-sub: 8.0ms (11.8% of total)adjust: 7.0ms (10.3% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(-.f64 #s(literal -1 binary64) x) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) |
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)) |
(/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| Outputs |
|---|
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) |
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
(+ (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
(+ (* x (+ (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (* (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (+ (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
(sqrt -1) |
(+ (sqrt -1) (* -1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* x (+ (* -1 (sqrt -1)) (* 1/2 (* x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ (* -1 (sqrt -1)) (* x (+ (* -1/2 (* x (sqrt -1))) (* 1/2 (sqrt -1))))))) |
-1 |
(- (* 2 x) 1) |
(- (* x (+ 2 (* -2 x))) 1) |
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1) |
1 |
(+ 1 (* -1 x)) |
(* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) (/ (* x (* (sqrt 1/2) (sqrt 2))) (sqrt -1))) |
(+ (* x (+ (* -1/2 (/ (* x (* (sqrt 1/2) (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (sqrt -1))) (/ (* (sqrt 1/2) (sqrt 2)) (sqrt -1)))) (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* x (+ (* x (+ (* -1/2 (/ (* (sqrt 1/2) (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* 1/2 (/ (* x (* (sqrt 1/2) (* (sqrt 2) (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))))) (sqrt -1))))) (/ (* (sqrt 1/2) (sqrt 2)) (sqrt -1)))) (* (sqrt -1) (* (sqrt 1/2) (sqrt 2)))) |
(+ (sqrt -1) (/ x (sqrt -1))) |
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1))))) |
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1))))) |
(sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) |
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* 1/2 (* (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) |
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) |
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1/2 (/ (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* -1/2 (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))))) |
(/ (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) x) |
(/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x) |
(- (* -1 x) 1) |
(- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) |
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2)) |
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2)) |
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2)) |
(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2))))) |
(* x (sqrt 2)) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/2 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/8 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))))))) (* (pow x 3) (sqrt 1/2)))) (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))))) |
(pow (sqrt -1) 2) |
(+ (/ 1 x) (pow (sqrt -1) 2)) |
(+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow x 2))) (+ (/ 1 x) (pow (sqrt -1) 2))) |
(+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow x 2))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (pow x 3))) (+ (/ 1 x) (pow (sqrt -1) 2)))) |
(- 1 (* 2 (/ 1 x))) |
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))) |
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (+ (* 1/2 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 2))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 3))) (+ (* 1/2 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 2))) (* (sqrt 1/2) (sqrt 2))))) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))) |
(* t (sqrt 2)) |
(+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))) |
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))) |
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 3) (sqrt 2))))) (+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))))) |
(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2)))))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* 2 (pow t 2)) |
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) |
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (/ (pow t 2) (pow x 2))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (/ (pow l 2) (pow x 2)))))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2))))) |
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (/ (pow t 2) (pow x 3))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (/ (pow l 2) (pow x 3)))))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))) (* -1 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow x 2)))))) |
(+ (* -1 (/ (+ (* 1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (sqrt 1/2)))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (* x (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))) (+ (* -1/8 (/ (* (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (+ (* -1/8 (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 6))) (* 1/2 (/ (* (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2)))))))) (* x (sqrt 1/2))))) x)) (* 1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) x))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2))) (/ (* (sqrt 1/2) (sqrt 2)) x)) |
(+ (* -1 (/ (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) x))) x)) (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1 (/ (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* -1 (/ (+ (* -1/2 (* (sqrt 1/2) (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (sqrt 1/2) (* (sqrt 2) (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))))) x))) x))) x)) (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* x (sqrt 2))))) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* x (sqrt 2))))) (* 1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (sqrt 2))))) x)) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2))) |
(+ (* -1 (/ (- (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))) x)) (* 2 (pow t 2))) |
(+ (* -1 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1 (/ (- (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) x))) x)) (* 2 (pow t 2))) |
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) |
(+ (* -1/8 (* (/ (* (pow l 2) (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1))))) (* -1/8 (* (/ (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3)))))))) |
(+ (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)) (* (pow t 8) (pow (+ 1 x) 4)))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (pow t 2) (* (pow (sqrt 1/2) 2) (+ 1 x))))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1))))) (* -1/2 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1)))))))))) |
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) |
(+ (* 1/2 (* (/ (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x)))))))) |
(+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/16 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)) (* (pow t 5) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5)))))))))) |
(+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) |
(+ (* 2 (pow t 2)) (pow l 2)) |
(* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) |
(+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) |
(* 4 (/ t (* x (sqrt 2)))) |
(+ (* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) (* 4 (/ t (* x (sqrt 2))))) |
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l) |
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
(/ (pow l 2) (* t (* x (sqrt 2)))) |
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2))))) |
(pow l 2) |
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) |
(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1)) |
(* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) |
(* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2))))))) |
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) |
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l)) |
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l)) |
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l)) |
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))) |
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) |
(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) |
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))) |
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))))) |
(sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) |
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (/ (* (pow t 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))) |
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* -1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 2)) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))) |
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1/2 (* (/ (pow (+ 1 x) 2) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* 1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 3)) (pow (- x 1) 3)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 5)))))))))) |
(/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t) |
(- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) |
(- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2)) |
(/ (+ (* 2 (/ (pow l 2) (* x (sqrt 2)))) (* 4 (/ (pow t 2) (* x (sqrt 2))))) t) |
(+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))) |
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))))) |
(* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))) |
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* t (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) |
(* t (+ (sqrt 2) (+ (* 2 (/ 1 (* x (sqrt 2)))) (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))))) |
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2)))) |
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2)))) |
(* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))) |
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3)))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))) |
(* -1 (* t (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))))) |
(* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2))))))) |
(* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ (- 1 x) (- -1 x))) (/ (- 1 x) (- -1 x)) (- 1 x) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (* (sqrt 1/2) (sqrt 2))) (sqrt (/ (- x 1) (- x -1))) (/ (- x 1) (- x -1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (- -1 x) (* (sqrt 1/2) (sqrt 2)) (+ (* l l) (* 2 (* t t))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt 2) x)) |
| 5.0ms | t | @ | inf | ((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ (- 1 x) (- -1 x))) (/ (- 1 x) (- -1 x)) (- 1 x) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (* (sqrt 1/2) (sqrt 2))) (sqrt (/ (- x 1) (- x -1))) (/ (- x 1) (- x -1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (- -1 x) (* (sqrt 1/2) (sqrt 2)) (+ (* l l) (* 2 (* t t))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt 2) x)) |
| 4.0ms | x | @ | -inf | ((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ (- 1 x) (- -1 x))) (/ (- 1 x) (- -1 x)) (- 1 x) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (* (sqrt 1/2) (sqrt 2))) (sqrt (/ (- x 1) (- x -1))) (/ (- x 1) (- x -1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (- -1 x) (* (sqrt 1/2) (sqrt 2)) (+ (* l l) (* 2 (* t t))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt 2) x)) |
| 4.0ms | x | @ | inf | ((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ (- 1 x) (- -1 x))) (/ (- 1 x) (- -1 x)) (- 1 x) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (* (sqrt 1/2) (sqrt 2))) (sqrt (/ (- x 1) (- x -1))) (/ (- x 1) (- x -1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (- -1 x) (* (sqrt 1/2) (sqrt 2)) (+ (* l l) (* 2 (* t t))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt 2) x)) |
| 3.0ms | l | @ | 0 | ((/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ (- 1 x) (- -1 x))) (/ (- 1 x) (- -1 x)) (- 1 x) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (- x -1))) (* (sqrt 1/2) (sqrt 2))) (sqrt (/ (- x 1) (- x -1))) (/ (- x 1) (- x -1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (- -1 x) (* (sqrt 1/2) (sqrt 2)) (+ (* l l) (* 2 (* t t))) (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t)) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (* (sqrt 2) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 928 | 10596 |
| 1 | 3139 | 9258 |
| 0 | 8270 | 8856 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) |
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
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(sqrt -1) |
(+ (sqrt -1) (* -1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* x (+ (* -1 (sqrt -1)) (* 1/2 (* x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ (* -1 (sqrt -1)) (* x (+ (* -1/2 (* x (sqrt -1))) (* 1/2 (sqrt -1))))))) |
-1 |
(- (* 2 x) 1) |
(- (* x (+ 2 (* -2 x))) 1) |
(- (* x (+ 2 (* x (- (* 2 x) 2)))) 1) |
1 |
(+ 1 (* -1 x)) |
(* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt -1) (* (sqrt 1/2) (sqrt 2))) (/ (* x (* (sqrt 1/2) (sqrt 2))) (sqrt -1))) |
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(+ (sqrt -1) (/ x (sqrt -1))) |
(+ (sqrt -1) (* x (+ (* -1/2 (/ (* x (+ 2 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (/ 1 (sqrt -1))))) |
(+ (sqrt -1) (* x (+ (* x (+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (* 1/2 (/ (* x (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2))))) (sqrt -1))))) (/ 1 (sqrt -1))))) |
(sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) |
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(/ (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) x) |
(/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x) |
(- (* -1 x) 1) |
(- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) |
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2)) |
(- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))))) (+ (* 2 (pow t 2)) (pow l 2))))) (pow l 2)) |
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(* 2 (/ (+ (* 2 (pow t 2)) (pow l 2)) (* t (* x (sqrt 2))))) |
(* x (sqrt 2)) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/2 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/8 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))))))) (* (pow x 3) (sqrt 1/2)))) (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))))) |
(pow (sqrt -1) 2) |
(+ (/ 1 x) (pow (sqrt -1) 2)) |
(+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow x 2))) (+ (/ 1 x) (pow (sqrt -1) 2))) |
(+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow x 2))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (pow x 3))) (+ (/ 1 x) (pow (sqrt -1) 2)))) |
(- 1 (* 2 (/ 1 x))) |
(- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))) |
(- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (+ (* 1/2 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 2))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1 (/ (* (sqrt 1/2) (sqrt 2)) x)) (+ (* -1/2 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 3))) (+ (* 1/2 (/ (* (sqrt 1/2) (sqrt 2)) (pow x 2))) (* (sqrt 1/2) (sqrt 2))))) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))) |
(* t (sqrt 2)) |
(+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))) |
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))) |
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 3) (sqrt 2))))) (+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))))) |
(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2)))))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* 2 (pow t 2)) |
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (pow t 2)) (/ (pow l 2) x))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x))) |
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (/ (pow t 2) (pow x 2))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (/ (pow l 2) (pow x 2)))))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 2))))) |
(- (+ (* 2 (/ (pow t 2) x)) (+ (* 2 (/ (pow t 2) (pow x 3))) (+ (* 2 (pow t 2)) (+ (/ (pow l 2) x) (/ (pow l 2) (pow x 3)))))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) x)) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow x 3))) (* -1 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow x 2)))))) |
(+ (* -1 (/ (+ (* 1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (sqrt 1/2)))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (* x (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))) (+ (* -1/8 (/ (* (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (+ (* -1/8 (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 6))) (* 1/2 (/ (* (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2)))))))) (* x (sqrt 1/2))))) x)) (* 1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) x))) |
(+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2))) (/ (* (sqrt 1/2) (sqrt 2)) x)) |
(+ (* -1 (/ (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (* (sqrt 2) (+ 2 (/ 1 (pow (sqrt -1) 2))))) x))) x)) (* (pow (sqrt -1) 2) (* (sqrt 1/2) (sqrt 2)))) |
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(+ (* -1 (/ (- (* 1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) x)) 1) x)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 2 (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (/ (+ 2 (+ (* 2 (/ 1 (pow (sqrt -1) 2))) (/ 1 (pow (sqrt -1) 4)))) x))) x)) 1) x)) (pow (sqrt -1) 2)) |
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(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) |
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(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) |
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(* 4 (/ t (* x (sqrt 2)))) |
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(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) |
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(/ (pow l 2) (* t (* x (sqrt 2)))) |
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2))))) |
(pow l 2) |
(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
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(* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) |
(* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2))))))) |
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(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) |
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(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) |
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(sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) |
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(/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t) |
(- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) |
(- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (- x 1))) (pow l 2)) |
(/ (+ (* 2 (/ (pow l 2) (* x (sqrt 2)))) (* 4 (/ (pow t 2) (* x (sqrt 2))))) t) |
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(* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))) |
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(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* t (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) |
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(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2)))) |
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(* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))) |
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3)))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))) |
(* -1 (* t (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))))) |
(* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2))))))) |
(* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))) |
| Outputs |
|---|
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
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(+ (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
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(+ (* x (+ (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (* (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (+ (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
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(/ (pow l 2) (* t (* x (sqrt 2)))) |
(*.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2))))) |
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(pow l 2) |
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(* (pow l 2) (+ 1 (* 2 (/ (pow t 2) (pow l 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) l) (/.f64 (*.f64 t t) l) #s(literal 1 binary64)) (*.f64 l l)) |
(* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) |
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(* (pow l 2) (- (+ (* 2 (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1)))) (+ (/ 1 (- x 1)) (/ x (- x 1)))) 1)) |
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(* 2 (/ (pow l 2) (* t (* x (sqrt 2))))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 l l) t)) |
(* (pow l 2) (+ (* 4 (/ t (* (pow l 2) (* x (sqrt 2))))) (* 2 (/ 1 (* t (* x (sqrt 2))))))) |
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(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) |
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l)) |
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l)) |
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l)) |
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(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) |
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))) |
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(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) |
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(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) |
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(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))) |
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(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))))) |
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(* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))) |
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(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
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(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 t #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 t t)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) t) |
(* t (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) t) |
(* t (+ (sqrt 2) (+ (* 2 (/ 1 (* x (sqrt 2)))) (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))))) |
(*.f64 (fma.f64 (/.f64 l (*.f64 (*.f64 t t) x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) t) |
(* (pow t 2) (+ 2 (/ (pow l 2) (pow t 2)))) |
(*.f64 (fma.f64 (/.f64 l t) (/.f64 l t) #s(literal 2 binary64)) (*.f64 t t)) |
(* (pow t 2) (- (+ (* 2 (/ (+ 1 x) (- x 1))) (/ (* (pow l 2) (+ 1 x)) (* (pow t 2) (- x 1)))) (/ (pow l 2) (pow t 2)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 l t) (/.f64 l t) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 l) l) (*.f64 t t))) (*.f64 t t)) |
(* t (+ (* 2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) (*.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (/.f64 l x)) (/.f64 #s(literal 4 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) t) |
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3)))))) |
(fma.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 t t))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64))) (pow.f64 t #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 t t))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (/.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64))) (pow.f64 t #s(literal 4 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal -1 binary64))))) (pow.f64 t #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 t t))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(*.f64 (neg.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 t t)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 t t)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 t #s(literal 6 binary64))))) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 l l) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l)) (*.f64 t t)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))))) |
(* -1 (* t (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))))) |
(*.f64 (neg.f64 t) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2))))))) |
(*.f64 (neg.f64 t) (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 l (*.f64 (*.f64 t t) x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* t (- (* -2 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))) (* 4 (/ 1 (* x (sqrt 2))))))) |
(*.f64 (neg.f64 t) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 t t)) (*.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (/.f64 l x)) (/.f64 #s(literal -4 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 428 |
| 0 | 87 | 405 |
| 1 | 339 | 400 |
| 2 | 2637 | 396 |
| 0 | 8487 | 393 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
(sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(-.f64 #s(literal -1 binary64) x) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) |
(-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)) |
(/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
| Outputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
(pow.f64 (exp.f64 (-.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log1p.f64 x))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) x))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))) (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (fma.f64 x x x) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (sqrt.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(exp.f64 (*.f64 (-.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log1p.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(pow.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 x x x) (-.f64 x #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 x))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) |
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(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (pow.f64 (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 x t))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) t) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t))) |
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 x t)))) |
(pow.f64 (/.f64 t (*.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (/.f64 t (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (/.f64 t (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (*.f64 x t))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 #s(literal 2 binary64) t))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)))) (neg.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)))) (neg.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) t (*.f64 (neg.f64 l) l)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)))) (neg.f64 (-.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)))) (neg.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) t)) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) t (*.f64 (neg.f64 l) l)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)))) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x t)) |
(/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 #s(literal 2 binary64) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t))) (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t))) (fma.f64 (*.f64 t #s(literal 2 binary64)) t (*.f64 (neg.f64 l) l))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t))) (-.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t))) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) t) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) |
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) (neg.f64 (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) t (*.f64 (neg.f64 l) l)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 8 binary64) (pow.f64 l #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 l t) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t))) |
(/.f64 (*.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (*.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (/.f64 t (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (/.f64 t (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (/.f64 t (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (/.f64 t (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (/.f64 t (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) |
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (neg.f64 t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (/.f64 t (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) #s(literal -1 binary64))) |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
Compiled 39 881 to 3 135 computations (92.1% saved)
35 alts after pruning (31 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 641 | 17 | 658 |
| Fresh | 4 | 14 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 647 | 35 | 682 |
| Status | Accuracy | Program |
|---|---|---|
| 16.8% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))) | |
| 2.5% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l)))) | |
| 36.4% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l))))) | |
| ✓ | 2.6% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))) |
| ▶ | 54.2% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))) |
| 43.1% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64))))) | |
| 52.6% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) | |
| 52.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) | |
| 70.7% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(approx (* 2 (+ (* (* t t) 2) (* l l))) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) | |
| 31.5% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (/.f64 t (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) | |
| 70.6% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) (*.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (/.f64 l x)) (/.f64 #s(literal 4 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) | |
| 3.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))) | |
| ▶ | 7.8% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))) |
| ▶ | 79.8% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))) |
| 48.7% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (/.f64 (fma.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (/.f64 l x) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t))) t)))) | |
| 73.7% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (*.f64 (fma.f64 (/.f64 l (*.f64 (*.f64 t t) x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) t)))) | |
| 7.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))))))) | |
| 3.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) #s(literal -1 binary64))) l))) | |
| 40.8% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (sqrt.f64 (fma.f64 (neg.f64 l) l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) | |
| 52.8% | (*.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) (sqrt.f64 #s(literal 2 binary64))) | |
| 2.6% | (*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))) | |
| 37.6% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) | |
| ▶ | 18.3% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
| 5.2% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) | |
| ✓ | 73.2% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
| 36.6% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))) | |
| 14.6% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) x)))) | |
| 25.6% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))) | |
| ✓ | 75.7% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
| 74.4% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(literal -1 binary64) x)))) | |
| 38.0% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) | |
| 74.8% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) | |
| ▶ | 1.8% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| ✓ | 74.3% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
| 40.8% | #s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
Compiled 3 223 to 1 942 computations (39.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))) | |
| cost-diff | 320 | (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) | |
| cost-diff | 512 | (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)) | |
| cost-diff | 1280 | (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))) | |
| cost-diff | 0 | #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | |
| cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) | |
| cost-diff | 384 | (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) | |
| cost-diff | 0 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))) | |
| cost-diff | 192 | (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 853 |
| 0 | 122 | 844 |
| 1 | 250 | 822 |
| 2 | 571 | 805 |
| 3 | 1282 | 793 |
| 4 | 3991 | 765 |
| 0 | 8211 | 754 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))) |
(fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 l (*.f64 t x)) |
l |
(*.f64 t x) |
x |
(/.f64 l (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 l l) t) |
(*.f64 l l) |
l |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
x |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))) |
#s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))) |
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))) |
(+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) |
(/.f64 (*.f64 t t) x) |
(*.f64 t t) |
x |
(+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)) |
(/.f64 (*.f64 l l) x) |
(*.f64 l l) |
l |
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) |
(fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) |
| Outputs |
|---|
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64))) t (*.f64 (/.f64 (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) x) t) l))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64))) t (*.f64 (/.f64 (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) x) t) l)))) |
#s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64))) t (*.f64 (/.f64 (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) x) t) l))) |
(fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64))) t (*.f64 (/.f64 (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) x) t) l)) |
(/.f64 l (*.f64 t x)) |
(/.f64 l (*.f64 x t)) |
l |
(*.f64 t x) |
(*.f64 x t) |
x |
(/.f64 l (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (sqrt.f64 #s(literal 2 binary64))) t) |
(/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) x) |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(sqrt.f64 (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 (/.f64 (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) x) t) l)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 (/.f64 (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) x) t) l))) |
#s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 (/.f64 (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) x) t) l)) |
(/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) x) t) l) |
(/.f64 (*.f64 l l) t) |
(*.f64 l l) |
l |
(*.f64 x (sqrt.f64 #s(literal 2 binary64))) |
x |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))) |
(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/2 binary64) (*.f64 t t)) x) #s(literal 4 binary64) (*.f64 (*.f64 t t) #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
t |
(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))) |
(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/2 binary64) (*.f64 t t)) x) #s(literal 4 binary64) (*.f64 (*.f64 t t) #s(literal 2 binary64))))) |
#s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))) |
#s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/2 binary64) (*.f64 t t)) x) #s(literal 4 binary64) (*.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/2 binary64) (*.f64 t t)) x) #s(literal 4 binary64) (*.f64 (*.f64 t t) #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) |
(*.f64 (+.f64 (/.f64 t x) t) t) |
(/.f64 (*.f64 t t) x) |
(*.f64 t t) |
x |
(+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) |
(/.f64 (*.f64 l l) x) |
(*.f64 l l) |
l |
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) |
(fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.998943428363986 | (/.f64 (*.f64 t t) x) | |
| accuracy | 5.6006501413452945 | (/.f64 (*.f64 l l) x) | |
| accuracy | 7.6923159124322895 | (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) | |
| accuracy | 14.048942461064632 | (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))) | |
| accuracy | 4.040335818165645 | (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 4.5160681111468275 | (/.f64 (*.f64 l l) t) | |
| accuracy | 15.192776095374066 | #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) | |
| accuracy | 22.782296205088564 | #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) | |
| accuracy | 0.046875 | (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) | |
| accuracy | 0.16796875 | (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 15.312620817778132 | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) | |
| accuracy | 20.6195093953854 | (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) | |
| accuracy | 15.312620817778132 | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) | |
| accuracy | 38.88194175253378 | #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) | |
| accuracy | 0.2890625 | (*.f64 t (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.33431901081926724 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))) | |
| accuracy | 3.7681681669239713 | (/.f64 l (*.f64 t x)) | |
| accuracy | 15.192776095374066 | #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))) |
| 58.0ms | 75× | 1 | valid |
| 55.0ms | 98× | 0 | invalid |
| 37.0ms | 76× | 0 | valid |
| 7.0ms | 7× | 2 | valid |
Compiled 1 406 to 147 computations (89.5% saved)
ival-mult: 34.0ms (31.5% of total)ival-div: 33.0ms (30.6% of total)ival-add: 15.0ms (13.9% of total)ival-sqrt: 11.0ms (10.2% of total)adjust: 9.0ms (8.3% of total)ival-sub: 7.0ms (6.5% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))) |
(+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)) |
(+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))) |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 l (*.f64 t x)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 l l) t) |
(/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))) |
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) |
(/.f64 (*.f64 l l) x) |
(/.f64 (*.f64 t t) x) |
| Outputs |
|---|
(* 2 (/ t (* x (sqrt 2)))) |
(/ (+ (* 2 (/ t (sqrt 2))) (* t (* x (sqrt 2)))) x) |
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) |
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
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(+ (sqrt -1) (* -1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* x (+ (* -1 (sqrt -1)) (* 1/2 (* x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ (* -1 (sqrt -1)) (* x (+ (* -1/2 (* x (sqrt -1))) (* 1/2 (sqrt -1))))))) |
(/ 1 x) |
(/ (+ 1 (* -1 x)) x) |
1 |
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(* -1 (sqrt -1)) |
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(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) |
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(/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) x) |
(/ (+ (* 2 (* (pow t 2) x)) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) x) |
(/ (+ (* 2 (pow l 2)) (* 2 (pow t 2))) x) |
(/ (pow t 2) x) |
(/ (+ (* (pow t 2) x) (pow t 2)) x) |
(/ l (* t x)) |
(/ (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) x) |
(/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x) |
(/ (pow l 2) (* t (* x (sqrt 2)))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) x) |
(/ (pow l 2) x) |
(* t (sqrt 2)) |
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(* (sqrt 1/2) (sqrt 2)) |
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(pow (sqrt -1) 2) |
(+ (/ 1 x) (pow (sqrt -1) 2)) |
(+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow x 2))) (+ (/ 1 x) (pow (sqrt -1) 2))) |
(+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow x 2))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (pow x 3))) (+ (/ 1 x) (pow (sqrt -1) 2)))) |
-1 |
(- (/ 1 x) 1) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))) |
(sqrt (/ 1 x)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))) |
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))) |
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 3) (sqrt 2))))) (+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))))) |
(* 2 (pow t 2)) |
(+ (* 2 (/ (pow l 2) x)) (+ (* 2 (pow t 2)) (* 4 (/ (pow t 2) x)))) |
(pow t 2) |
(+ (/ (pow t 2) x) (pow t 2)) |
(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2)))))) |
(+ (* -1 (/ (+ (* 1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (sqrt 1/2)))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (* x (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))) (+ (* -1/8 (/ (* (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (+ (* -1/8 (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 6))) (* 1/2 (/ (* (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2)))))))) (* x (sqrt 1/2))))) x)) (* 1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) x))) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(+ (* -1 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
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(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3)))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))) |
(* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | t | @ | 0 | ((+ (* (/ t (* x (sqrt 2))) 2) (* t (sqrt 2))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ (- 1 x) (- -1 x))) (- (/ 1 x) 1) (/ 1 x) (/ (- x 1) (+ (* x x) -1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (sqrt (/ (- x 1) (+ (* x x) -1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (+ (/ (* t t) x) (* t t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* t x)) (* t (sqrt 2)) (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* l l) t) (/ (/ (* l l) t) (* x (sqrt 2))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (+ (* (* t t) 2) (* l l)) x) (/ (* l l) x) (/ (* t t) x)) |
| 11.0ms | x | @ | 0 | ((+ (* (/ t (* x (sqrt 2))) 2) (* t (sqrt 2))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ (- 1 x) (- -1 x))) (- (/ 1 x) 1) (/ 1 x) (/ (- x 1) (+ (* x x) -1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (sqrt (/ (- x 1) (+ (* x x) -1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (+ (/ (* t t) x) (* t t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* t x)) (* t (sqrt 2)) (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* l l) t) (/ (/ (* l l) t) (* x (sqrt 2))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (+ (* (* t t) 2) (* l l)) x) (/ (* l l) x) (/ (* t t) x)) |
| 10.0ms | l | @ | inf | ((+ (* (/ t (* x (sqrt 2))) 2) (* t (sqrt 2))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ (- 1 x) (- -1 x))) (- (/ 1 x) 1) (/ 1 x) (/ (- x 1) (+ (* x x) -1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (sqrt (/ (- x 1) (+ (* x x) -1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (+ (/ (* t t) x) (* t t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* t x)) (* t (sqrt 2)) (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* l l) t) (/ (/ (* l l) t) (* x (sqrt 2))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (+ (* (* t t) 2) (* l l)) x) (/ (* l l) x) (/ (* t t) x)) |
| 7.0ms | t | @ | -inf | ((+ (* (/ t (* x (sqrt 2))) 2) (* t (sqrt 2))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ (- 1 x) (- -1 x))) (- (/ 1 x) 1) (/ 1 x) (/ (- x 1) (+ (* x x) -1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (sqrt (/ (- x 1) (+ (* x x) -1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (+ (/ (* t t) x) (* t t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* t x)) (* t (sqrt 2)) (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* l l) t) (/ (/ (* l l) t) (* x (sqrt 2))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (+ (* (* t t) 2) (* l l)) x) (/ (* l l) x) (/ (* t t) x)) |
| 7.0ms | x | @ | -inf | ((+ (* (/ t (* x (sqrt 2))) 2) (* t (sqrt 2))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt 2) t) (sqrt 2) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (/ (- 1 x) (- -1 x))) (- (/ 1 x) 1) (/ 1 x) (/ (- x 1) (+ (* x x) -1)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (sqrt (/ (- x 1) (+ (* x x) -1))) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x)) (+ (/ (* t t) x) (* t t)) (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ l (* t x)) (* t (sqrt 2)) (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/ (* l l) t) (/ (/ (* l l) t) (* x (sqrt 2))) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (/ (+ (* (* t t) 2) (* l l)) x) (/ (* l l) x) (/ (* t t) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 868 | 10012 |
| 1 | 2867 | 8646 |
| 0 | 8642 | 8255 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (/ t (* x (sqrt 2)))) |
(/ (+ (* 2 (/ t (sqrt 2))) (* t (* x (sqrt 2)))) x) |
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) |
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
(+ (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
(+ (* x (+ (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* x (+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (* (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (+ (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* 1/2 (* (* t (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (+ (* 1/4 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) (pow (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2)))) 2))) (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
(sqrt -1) |
(+ (sqrt -1) (* -1 (* x (sqrt -1)))) |
(+ (sqrt -1) (* x (+ (* -1 (sqrt -1)) (* 1/2 (* x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ (* -1 (sqrt -1)) (* x (+ (* -1/2 (* x (sqrt -1))) (* 1/2 (sqrt -1))))))) |
(/ 1 x) |
(/ (+ 1 (* -1 x)) x) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(* -1 (sqrt -1)) |
(+ (* -1 (sqrt -1)) (* x (sqrt -1))) |
(+ (* -1 (sqrt -1)) (* x (+ (sqrt -1) (* 1/2 (/ x (sqrt -1)))))) |
(+ (* -1 (sqrt -1)) (* x (+ (sqrt -1) (* x (+ (* -1/2 (/ x (sqrt -1))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 3/8 x) 1/2))) |
(+ 1 (* x (- (* x (+ 3/8 (* -5/16 x))) 1/2))) |
(sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) |
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* 1/2 (* (* x (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))) |
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))) |
(+ (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))) (* x (+ (* 1/2 (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* x (+ (* -1/2 (* (* x (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* -1/2 (/ (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) (* -1/2 (* (+ (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) 2) (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))))))))) |
(/ (+ (* 2 (pow l 2)) (* 4 (pow t 2))) x) |
(/ (+ (* 2 (* (pow t 2) x)) (+ (* 2 (pow l 2)) (* 4 (pow t 2)))) x) |
(/ (+ (* 2 (pow l 2)) (* 2 (pow t 2))) x) |
(/ (pow t 2) x) |
(/ (+ (* (pow t 2) x) (pow t 2)) x) |
(/ l (* t x)) |
(/ (+ (* 2 (/ t (sqrt 2))) (/ (pow l 2) (* t (sqrt 2)))) x) |
(/ (+ (* 2 (/ t (sqrt 2))) (+ (* t (* x (sqrt 2))) (/ (pow l 2) (* t (sqrt 2))))) x) |
(/ (pow l 2) (* t (* x (sqrt 2)))) |
(/ (+ (* 2 (pow t 2)) (pow l 2)) x) |
(/ (pow l 2) x) |
(* t (sqrt 2)) |
(+ (* 2 (/ t (* x (sqrt 2)))) (* t (sqrt 2))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/2 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/8 (/ (* (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4)))))))) (* (pow x 3) (sqrt 1/2)))) (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (+ (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))) (* 1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))))))) (* (pow x 2) (sqrt 1/2)))) (+ (* -1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (* x (sqrt 1/2))))) (* (sqrt 1/2) (sqrt 2))))) |
(pow (sqrt -1) 2) |
(+ (/ 1 x) (pow (sqrt -1) 2)) |
(+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow x 2))) (+ (/ 1 x) (pow (sqrt -1) 2))) |
(+ (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow x 2))) (+ (* 1/2 (/ (- 2 (* -1 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (pow (sqrt -1) 2)))) (pow x 3))) (+ (/ 1 x) (pow (sqrt -1) 2)))) |
-1 |
(- (/ 1 x) 1) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1/2 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1/2 (pow x 2))) (+ (/ 1 x) (* 1/2 (/ 1 (pow x 3))))) |
(sqrt (/ 1 x)) |
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 3))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 (pow x 5)))))) |
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 3)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ 1 (* 1/4 x)))) (* 1/2 (sqrt (/ 1 (pow x 5))))))) |
(+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))) |
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2)))) |
(+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 3) (sqrt 2))))) (+ (* -1/2 (/ (+ (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (* x (sqrt 2))))) (* t (sqrt 2))))) |
(* 2 (pow t 2)) |
(+ (* 2 (/ (pow l 2) x)) (+ (* 2 (pow t 2)) (* 4 (/ (pow t 2) x)))) |
(pow t 2) |
(+ (/ (pow t 2) x) (pow t 2)) |
(+ (* 2 (/ t (* x (sqrt 2)))) (+ (* t (sqrt 2)) (/ (pow l 2) (* t (* x (sqrt 2)))))) |
(+ (* -1 (/ (+ (* 1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (sqrt 1/2)))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (* x (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/4 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (pow t 4))) (+ (* -1/8 (/ (* (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (+ (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6))) (* 1/64 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 6) (pow (sqrt 1/2) 2)))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 1/2) 2)))) (+ (* -1/8 (/ (* (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 6))) (* 1/2 (/ (* (+ (* -1/4 (/ (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2))) (pow t 4))) (* -1/8 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (pow t 6)))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (pow t 2)))))))) (* x (sqrt 1/2))))) x)) (* 1/8 (/ (* (sqrt 2) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (sqrt 1/2))))) x)) (* (sqrt 1/2) (sqrt 2))) |
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) x))) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(+ (* -1 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ 1 x)) (* (pow (sqrt -1) 2) (- 1 (* -1/4 x))))) (* 1/2 (* (sqrt x) (pow (sqrt -1) 2)))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* x (sqrt 2))))) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* -1/2 (/ (* (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2))))) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (* x (sqrt 2))))) (* 1/2 (/ (- (* -1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (+ (* 2 (pow t 2)) (pow l 2)))) (* 1/4 (/ (pow (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) 2) (* (pow t 2) (pow (sqrt 2) 2))))) (* t (sqrt 2))))) x)) (* -1/2 (/ (- (+ (* 2 (pow t 2)) (pow l 2)) (* -1 (+ (* 2 (pow t 2)) (pow l 2)))) (* t (sqrt 2))))) x)) (* t (sqrt 2))) |
(+ (* -1 (/ (+ (* -2 (pow t 2)) (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2)))) x)) (* 2 (pow t 2))) |
(* -1 (/ (+ (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (* -1 (pow l 2))) x)) |
(* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) |
(+ (* -1/8 (* (/ (* (pow l 2) (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1))))) (* -1/8 (* (/ (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3)))))))) |
(+ (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (sqrt 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (pow l 2) (+ (* -1/2 (* (/ (* (pow l 2) (* (pow t 2) (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)) (* (pow t 8) (pow (+ 1 x) 4)))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) (* (pow t 2) (* (pow (sqrt 1/2) 2) (+ 1 x))))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1))))) (* -1/2 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (pow (+ 1 x) 3)))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 6) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))))) (sqrt 1/2)) (sqrt (/ (+ 1 x) (- x 1)))))))))) |
(* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) |
(+ (* 1/2 (* (/ (* (pow l 2) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* -1/8 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2)) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x)))))))) |
(+ (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1)))) (* (pow l 2) (+ (* 1/2 (* (/ (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) (* t (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (pow l 2) (+ (* -1/8 (* (/ (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 2) (* (pow t 3) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/16 (* (/ (* (pow l 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)) (* (pow t 5) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5)))))))))) |
(+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (* 2 (/ (pow t 2) x))) |
(+ (* 2 (+ (/ (pow t 2) x) (pow t 2))) (+ (* 2 (/ (pow l 2) x)) (* 2 (/ (pow t 2) x)))) |
(* 2 (/ (pow t 2) x)) |
(+ (* 2 (/ (pow l 2) x)) (* 2 (/ (pow t 2) x))) |
(/ (pow l 2) t) |
(+ (* 2 (/ (pow t 2) x)) (/ (pow l 2) x)) |
(* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l) |
(/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l) |
(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
(* 2 (/ (pow l 2) x)) |
(* (pow l 2) (+ (* 2 (/ (+ (/ (pow t 2) x) (pow t 2)) (pow l 2))) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (* 2 (/ 1 x))))) |
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (* 2 (/ 1 x)))) |
(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2))))) |
(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (/ 1 x))) |
(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) |
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l)) |
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l)) |
(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l)) |
(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))))) |
(* t (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) |
(* (* t (sqrt 2)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) |
(* t (+ (* -1 (* (/ (* (pow t 2) (* (sqrt 2) (+ 1 x))) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) |
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))) |
(* t (+ (* (sqrt 2) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1 (* (/ (* (sqrt 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (pow t 2) (+ (* -1/2 (* (* (sqrt 2) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* -1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* 8 (/ (pow (+ 1 x) 3) (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 4)))) (/ (* (+ 1 x) (+ (* -4 (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)))) (/ (pow (+ 1 x) 2) (* (pow (- x 1) 2) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))) (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))))))))) |
(sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) |
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (/ (* (pow t 2) (+ 1 x)) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))) |
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* -1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 2)) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))))))) |
(+ (sqrt (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (+ (* (/ (+ 1 x) (- x 1)) (sqrt (/ 1 (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))))) (* (pow t 2) (+ (* -1/2 (* (/ (pow (+ 1 x) 2) (pow (- x 1) 2)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3))))) (* 1/2 (* (/ (* (pow t 2) (pow (+ 1 x) 3)) (pow (- x 1) 3)) (sqrt (/ 1 (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 5)))))))))) |
(+ (* 2 (/ (pow l 2) x)) (* (pow t 2) (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x))))) |
(* (pow t 2) (+ 1 (/ 1 x))) |
(/ (+ (* (pow t 2) (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) (/ (pow l 2) (* x (sqrt 2)))) t) |
(+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x)))))) |
(+ (* -1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (+ (* -1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))))) |
(* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))) |
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* (pow t 2) (+ (* 2 (+ 1 (/ 1 x))) (* 2 (/ 1 x)))) |
(* (pow t 2) (+ (* 2 (+ 1 (/ 1 x))) (+ (* 2 (/ 1 x)) (* 2 (/ (pow l 2) (* (pow t 2) x)))))) |
(* (pow t 2) (+ (* 2 (/ (pow l 2) (* (pow t 2) x))) (* 2 (/ 1 x)))) |
(* t (+ (sqrt 2) (+ (* 2 (/ 1 (* x (sqrt 2)))) (/ (pow l 2) (* (pow t 2) (* x (sqrt 2))))))) |
(* (pow t 2) (+ (* 2 (/ 1 x)) (/ (pow l 2) (* (pow t 2) x)))) |
(* -1 (* t (- (* -1 (sqrt 2)) (* 2 (/ 1 (* x (sqrt 2))))))) |
(* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3)))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))))) |
(+ (* -1 (* (* (sqrt 1/2) (sqrt 2)) (sqrt (/ (- x 1) (+ 1 x))))) (+ (* 1/8 (* (/ (* (sqrt 2) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2))) (* (pow t 2) (sqrt 1/2))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (* (sqrt 2) (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3)))))) (* (pow t 4) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1))))) (* 1/2 (* (/ (* (sqrt 2) (+ (* 1/16 (/ (* (pow (- x 1) 4) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3)) (pow (+ 1 x) 4))) (* 1/8 (/ (* (+ (* -1/8 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (pow (+ 1 x) 3))) (* 1/64 (/ (* (pow (- x 1) 3) (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2)) (* (pow (sqrt 1/2) 2) (pow (+ 1 x) 3))))) (* (- x 1) (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)))) (* (pow (sqrt 1/2) 2) (+ 1 x)))))) (* (pow t 6) (sqrt 1/2))) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* -1 (* (* t (sqrt 2)) (sqrt (/ (+ 1 x) (- x 1))))) |
(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))) |
(* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2))))))) |
| Outputs |
|---|
(* 2 (/ t (* x (sqrt 2)))) |
(*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) |
(/ (+ (* 2 (/ t (sqrt 2))) (* t (* x (sqrt 2)))) x) |
(/.f64 (fma.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) x) |
(* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(+ (* 1/2 (* (* t (* x (* (sqrt 2) (- (+ (* 2 (/ (pow t 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (/ (pow l 2) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))) (* -1 (/ (+ (* 2 (pow t 2)) (pow l 2)) (pow (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)) 2))))))) (sqrt (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (* -1 (+ (* 2 (pow t 2)) (pow l 2))) (pow l 2)))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) t) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) (*.f64 (*.f64 x t) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 t t) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 l l) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 2 binary64)))) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (pow.f64 (neg.f64 (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) |
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(* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))) |
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) |
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
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(* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* 1/2 (* (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow l 6) (pow (- x 1) 3))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 5))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
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(* 2 (/ (pow l 2) x)) |
(*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)) |
(* (pow l 2) (+ (* 2 (/ (+ (/ (pow t 2) x) (pow t 2)) (pow l 2))) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (* 2 (/ 1 x))))) |
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(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (* 2 (/ 1 x)))) |
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(* (pow l 2) (+ (* 2 (/ t (* (pow l 2) (* x (sqrt 2))))) (+ (/ 1 (* t (* x (sqrt 2)))) (/ (* t (sqrt 2)) (pow l 2))))) |
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(* (pow l 2) (+ (* 2 (/ (pow t 2) (* (pow l 2) x))) (/ 1 x))) |
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(* -1 (* (/ (* t (sqrt 2)) l) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) |
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))) l)) |
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) l)) |
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(* -1 (/ (+ (* -1 (* (/ (* (pow t 3) (* (sqrt 2) (+ 1 x))) (* (pow l 2) (- x 1))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (pow l 4)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (+ (* -1/2 (* (/ (* t (* (sqrt 2) (+ (* 8 (/ (* (pow t 6) (pow (+ 1 x) 3)) (* (pow (- x 1) 3) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 4)))) (/ (* (pow t 2) (* (+ 1 x) (+ (* -4 (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))) (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow (- x 1) 2) (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3)))))) (* (- x 1) (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))) (pow l 6)) (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) (* (* t (sqrt 2)) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) l)) |
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(* -1 (* l (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))) |
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1))))))) |
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(* -1 (* l (+ (sqrt (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)) (+ (* -1/2 (* (/ (* (pow t 4) (pow (+ 1 x) 2)) (* (pow l 4) (pow (- x 1) 2))) (sqrt (/ 1 (pow (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1) 3))))) (* (/ (* (pow t 2) (+ 1 x)) (* (pow l 2) (- x 1))) (sqrt (/ 1 (- (+ (/ 1 (- x 1)) (/ x (- x 1))) 1)))))))) |
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(* t (+ (sqrt 2) (* 2 (/ 1 (* x (sqrt 2)))))) |
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(* (pow t 2) (+ 1 (/ 1 x))) |
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(* -1 (* t (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1)))))))) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) |
(* -1 (* t (+ (* -1/8 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 2) (* (pow t 4) (pow (sqrt 2) 3))) (sqrt (/ (pow (- x 1) 3) (pow (+ 1 x) 3))))) (+ (* 1/16 (* (/ (pow (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) 3) (* (pow t 6) (pow (sqrt 2) 5))) (sqrt (/ (pow (- x 1) 5) (pow (+ 1 x) 5))))) (+ (* 1/2 (* (/ (- (/ (* (pow l 2) (+ 1 x)) (- x 1)) (pow l 2)) (* (pow t 2) (sqrt 2))) (sqrt (/ (- x 1) (+ 1 x))))) (* (sqrt 2) (sqrt (/ (+ 1 x) (- x 1))))))))) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 5 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 5 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 5 binary64)) (pow.f64 t #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))) (/.f64 (pow.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (*.f64 l l) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))))))) |
(* -1 (* t (- (+ (* -1 (sqrt 2)) (* -1 (/ (pow l 2) (* (pow t 2) (* x (sqrt 2)))))) (* 2 (/ 1 (* x (sqrt 2))))))) |
(*.f64 (neg.f64 t) (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 l (*.f64 (*.f64 t t) x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 657 |
| 0 | 122 | 647 |
| 1 | 570 | 613 |
| 2 | 4999 | 612 |
| 0 | 8159 | 603 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) t) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))) |
(+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)) |
(+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))) |
#s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 l (*.f64 t x)) |
(*.f64 t (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 l l) t) |
(/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))) |
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) |
(/.f64 (*.f64 l l) x) |
(/.f64 (*.f64 t t) x) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) t)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) t)) (-.f64 (pow.f64 (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) t)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 2 binary64))) (fma.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) t))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) t) (sqrt.f64 #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) t)) (-.f64 (pow.f64 (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (-.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) #s(literal -3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(fma.f64 (/.f64 t x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(fma.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(fma.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(fma.f64 t (*.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(fma.f64 t (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(fma.f64 t (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) t))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal 2 binary64)) (fma.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) t)))) |
(+.f64 (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (*.f64 (/.f64 t (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 2 binary64))) |
(*.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t) (fma.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t) (fma.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t) (fma.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
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(/.f64 (*.f64 l #s(literal 1 binary64)) (*.f64 (*.f64 x t) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 l)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (*.f64 (neg.f64 x) t))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 l)) (*.f64 (/.f64 (*.f64 x t) l) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (*.f64 x t))) |
(/.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 (/.f64 (*.f64 x t) l) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) l) (*.f64 x t)) |
(/.f64 (*.f64 (/.f64 l (*.f64 x t)) l) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) x) (/.f64 t (*.f64 l l))) |
(/.f64 (*.f64 (neg.f64 l) l) (*.f64 (*.f64 (neg.f64 x) t) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 l) l) (*.f64 (*.f64 x t) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 (neg.f64 l) l) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x t))) |
(/.f64 (*.f64 (neg.f64 l) (/.f64 l t)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) |
(/.f64 (/.f64 (*.f64 l l) t) (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (/.f64 (*.f64 l l) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(/.f64 (*.f64 l l) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (/.f64 x (/.f64 l t))))) |
(/.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 x t) l)) |
(/.f64 (/.f64 l (*.f64 x t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) x) (*.f64 l l))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (/.f64 x (/.f64 l t))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x t) (*.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) l))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 l (*.f64 x t)) l))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 t (*.f64 l l)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (/.f64 (*.f64 x t) l))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x t) l) (/.f64 (sqrt.f64 #s(literal 2 binary64)) l))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (/.f64 x (/.f64 l t)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 l) (/.f64 l t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(neg.f64 (/.f64 (/.f64 (*.f64 l l) t) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (/.f64 x (/.f64 l t)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) #s(literal 1/4 binary64))) |
(pow.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 (neg.f64 l) l)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 (neg.f64 l) l)) (pow.f64 l #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 l l) (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)) |
(pow.f64 (/.f64 (/.f64 x (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 (neg.f64 l) l))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 (neg.f64 l) l)) (pow.f64 l #s(literal 4 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 l l) (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)))) #s(literal -1 binary64)) (*.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))) x)) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 (neg.f64 l) l)) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 (neg.f64 l) l)) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 (neg.f64 l) l)) (pow.f64 l #s(literal 4 binary64))) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 l l) (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))))) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 (neg.f64 l) l)) (pow.f64 l #s(literal 4 binary64))) x)) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 l l) (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))))) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)))) (*.f64 x (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 l #s(literal 4 binary64))) (*.f64 x (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 (neg.f64 l) l)))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) (*.f64 x (fma.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 (neg.f64 l) l)) (pow.f64 l #s(literal 4 binary64))))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 6 binary64)) (pow.f64 l #s(literal 6 binary64))) (*.f64 x (fma.f64 #s(literal 4 binary64) (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 l l) (fma.f64 l l (*.f64 #s(literal -2 binary64) (*.f64 t t))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (neg.f64 x)) |
(/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) x)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 l l) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 l x) l) |
(*.f64 (*.f64 (neg.f64 l) l) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 l l) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 l l) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 l l)) |
(*.f64 l (/.f64 l x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) x)) |
(pow.f64 (/.f64 (/.f64 x (*.f64 l l)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 l l)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 l l) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 l) l)) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 l l) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 l) l) (neg.f64 x)) |
(/.f64 (*.f64 l l) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 l l)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 l l)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 l l))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 l) l) x)) |
(neg.f64 (/.f64 (*.f64 l l) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 l l))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 t t) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 t x) t) |
(*.f64 (*.f64 (neg.f64 t) t) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 t t) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 t t) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 t t)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) x)) |
(*.f64 t (/.f64 t x)) |
(pow.f64 (/.f64 (/.f64 x (*.f64 t t)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (*.f64 t t)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 t t) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 t) t)) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 t t) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (neg.f64 t) t) (neg.f64 x)) |
(/.f64 (*.f64 t t) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 t t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 t t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 t t))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 t) t) x)) |
(neg.f64 (/.f64 (*.f64 t t) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 t t))) #s(literal -1 binary64))) |
Compiled 52 679 to 4 054 computations (92.3% saved)
37 alts after pruning (33 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 729 | 25 | 754 |
| Fresh | 18 | 8 | 26 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 4 | 4 |
| Total | 752 | 37 | 789 |
| Status | Accuracy | Program |
|---|---|---|
| 16.8% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))) | |
| ✓ | 2.6% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))) |
| 14.7% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (/.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 x (*.f64 l l)) x) (*.f64 x (/.f64 x (*.f64 l l)))))))) | |
| 54.1% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+.f64 (fma.f64 (/.f64 l x) l (*.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))) | |
| 43.1% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64))))) | |
| 54.2% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) x)))))) | |
| 48.8% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 l x) (/.f64 l (*.f64 t t)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 t t)))))) | |
| 15.4% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))))) | |
| 3.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))) | |
| 79.6% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x) (fma.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))) | |
| 7.6% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (*.f64 (neg.f64 l) l) (*.f64 (*.f64 (neg.f64 x) t) (sqrt.f64 #s(literal 2 binary64))))))) | |
| 7.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 x t)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))))))) | |
| 7.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 (/.f64 l x) (/.f64 (/.f64 l t) (sqrt.f64 #s(literal 2 binary64))))))) | |
| 8.0% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 l (/.f64 (/.f64 l t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))) | |
| 7.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 l (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) x)))))) | |
| 7.7% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (/.f64 x (/.f64 l t)))) #s(literal -1 binary64)))))) | |
| 78.8% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))))))) | |
| 79.3% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* (/ t (* x (sqrt 2))) 2) (* t (sqrt 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))) | |
| 3.9% | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) #s(literal -1 binary64))) l))) | |
| 54.0% | (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))) | |
| 54.3% | (*.f64 (pow.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) | |
| 79.5% | (*.f64 (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t) (fma.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal -1 binary64)) #s(literal -1 binary64))) | |
| 54.1% | (*.f64 (/.f64 t (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))) (sqrt.f64 #s(literal 2 binary64))) | |
| 7.9% | (*.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t))))) (sqrt.f64 #s(literal 2 binary64))) | |
| 54.3% | (*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))))) | |
| 2.6% | (*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))) | |
| 8.6% | (exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #s(literal -1 binary64))) | |
| 37.7% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) | |
| 5.2% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) | |
| ✓ | 73.2% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
| 37.3% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) | |
| ✓ | 75.7% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
| 74.4% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(literal -1 binary64) x)))) | |
| 38.0% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) | |
| 74.8% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) | |
| 4.3% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 74.3% | #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
Compiled 5 860 to 1 683 computations (71.3% saved)
| Inputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ (- x 1) (- x -1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (sqrt.f64 (fma.f64 (neg.f64 l) l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) |
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 l (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) x)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) #s(literal -1 binary64))) l))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (*.f64 (neg.f64 l) l) (*.f64 (*.f64 (neg.f64 x) t) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 l (/.f64 (/.f64 l t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 x t)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l)))) |
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))) |
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 (/.f64 l x) (/.f64 (/.f64 l t) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) x)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* (/ t (* x (sqrt 2))) 2) (* t (sqrt 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(approx (* 2 (+ (* (* t t) 2) (* l l))) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(*.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) t) t)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+.f64 (fma.f64 (/.f64 l x) l (*.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 l x) (/.f64 l (*.f64 t t)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 t t)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (*.f64 (fma.f64 (/.f64 l (*.f64 (*.f64 t t) x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) t)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x) (fma.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (/.f64 (fma.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (/.f64 l x) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t))) t)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (/.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 x (*.f64 l l)) x) (*.f64 x (/.f64 x (*.f64 l l)))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) (*.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (/.f64 l x)) (/.f64 #s(literal 4 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))) |
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))))) |
(*.f64 (/.f64 t (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) l) (/.f64 x (/.f64 l t)))) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64))))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 2 binary64)) (/.f64 t (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))))))) |
(*.f64 (pow.f64 #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t) (fma.f64 (/.f64 t (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(literal -1 binary64)) #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 l x) (/.f64 l (*.f64 t t)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 t t)))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
6 calls:
| 22.0ms | l |
| 21.0ms | (*.f64 l l) |
| 21.0ms | x |
| 20.0ms | t |
| 18.0ms | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 1 | x |
| 79.8% | 1 | l |
| 84.7% | 3 | t |
| 79.8% | 1 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
| 79.8% | 1 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
| 79.8% | 1 | (*.f64 l l) |
Compiled 40 to 38 computations (5% saved)
| Inputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ (- x 1) (- x -1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (sqrt.f64 (fma.f64 (neg.f64 l) l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) |
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 l (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) x)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) #s(literal -1 binary64))) l))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (*.f64 (neg.f64 l) l) (*.f64 (*.f64 (neg.f64 x) t) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 l (/.f64 (/.f64 l t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 x t)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l)))) |
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))) |
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 (/.f64 l x) (/.f64 (/.f64 l t) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) x)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* (/ t (* x (sqrt 2))) 2) (* t (sqrt 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(approx (* 2 (+ (* (* t t) 2) (* l l))) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(*.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) t) t)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+.f64 (fma.f64 (/.f64 l x) l (*.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 l x) (/.f64 l (*.f64 t t)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 t t)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (+.f64 (/.f64 (*.f64 l l) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (/.f64 t (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 t (sqrt.f64 #s(literal 2 binary64)))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (*.f64 (fma.f64 (/.f64 l (*.f64 (*.f64 t t) x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) t)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 t x) (fma.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (/.f64 (fma.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (/.f64 l x) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t))) t)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 t t) x) (*.f64 t t)) (/.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 x (*.f64 l l)) x) (*.f64 x (/.f64 x (*.f64 l l)))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) #s(approx (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) (*.f64 (/.f64 l (sqrt.f64 #s(literal 2 binary64))) (/.f64 l x)) (/.f64 #s(literal 4 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l)))) |
| Outputs |
|---|
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) x)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 l x) (/.f64 l (*.f64 t t)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 t t)))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
1 calls:
| 17.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 3 | t |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ (- x 1) (- x -1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (sqrt.f64 (fma.f64 (neg.f64 l) l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) |
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 l (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) x)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) #s(literal -1 binary64))) l))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (*.f64 (neg.f64 l) l) (*.f64 (*.f64 (neg.f64 x) t) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 l (/.f64 (/.f64 l t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 x t)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l)))) |
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))) |
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 (/.f64 l x) (/.f64 (/.f64 l t) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) x)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 l) l)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (fma.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))) #s(approx (+ (* (/ t (* x (sqrt 2))) 2) (* t (sqrt 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 #s(approx (* 2 (+ (* (* t t) 2) (* l l))) (*.f64 (*.f64 l l) #s(literal 2 binary64))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(*.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) t (/.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) t) t)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) l) l (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 (neg.f64 l) l))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (+.f64 (fma.f64 (/.f64 l x) l (*.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64))) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) x))))) |
| Outputs |
|---|
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) x)))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
1 calls:
| 14.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 2 | t |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ (- x 1) (- x -1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (sqrt.f64 (fma.f64 (neg.f64 l) l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)))))) |
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 l (/.f64 l (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) x)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l))))) (*.f64 (sqrt.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64) #s(literal -1 binary64))) l))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (+ (* (neg l) l) (* (/ (- -1 x) (- 1 x)) (+ (* (* t t) 2) (* l l)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 l) l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))) (*.f64 t (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (*.f64 (neg.f64 l) l) (*.f64 (*.f64 (neg.f64 x) t) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(*.f64 (/.f64 t #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (/.f64 l t))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* 1/2 (/ (* (+ (* (* t t) 2) (* l l)) 2) (* (* (sqrt 2) x) t))) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 t x)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 l (/.f64 (/.f64 l t) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 (/.f64 l (*.f64 x t)) (/.f64 l (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (/.f64 (/.f64 (*.f64 l l) t) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l))) (*.f64 l l)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* l l) (* 2 (* t t))) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 l) l)))) |
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))) |
(*.f64 t (sqrt.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (neg.f64 l) l (*.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) #s(approx (+ (* (/ 1/2 (* (sqrt 2) x)) (/ (* 2 (+ (* (* t t) 2) (* l l))) t)) (* (sqrt 2) t)) (*.f64 (/.f64 l x) (/.f64 (/.f64 l t) (sqrt.f64 #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 (+.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) l))) |
| Outputs |
|---|
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
6 calls:
| 27.0ms | t |
| 23.0ms | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
| 11.0ms | l |
| 11.0ms | x |
| 10.0ms | (*.f64 l l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 1 | x |
| 75.7% | 1 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
| 75.7% | 1 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
| 77.5% | 2 | l |
| 75.7% | 1 | (*.f64 l l) |
| 79.4% | 2 | t |
Compiled 40 to 38 computations (5% saved)
| Inputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ (- x 1) (- x -1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (*.f64 (*.f64 t t) #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
2 calls:
| 6.0ms | t |
| 6.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 2 | l |
| 75.7% | 1 | t |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) #s(approx (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 #s(approx (sqrt (/ (- x 1) (- x -1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
2 calls:
| 35.0ms | t |
| 5.0ms | l |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 1 | t |
| 75.7% | 1 | l |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 #s(approx (/ (- x 1) (- x -1)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (-.f64 #s(literal -1 binary64) x)))) |
| Outputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
6 calls:
| 3.0ms | l |
| 3.0ms | t |
| 3.0ms | x |
| 2.0ms | (*.f64 l l) |
| 2.0ms | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.8% | 1 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
| 74.8% | 1 | (*.f64 l l) |
| 74.8% | 1 | x |
| 74.8% | 1 | l |
| 74.8% | 1 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
| 74.8% | 1 | t |
Compiled 40 to 38 computations (5% saved)
Total -46.4b remaining (-282.7%)
Threshold costs -46.4b (-282.7%)
| Inputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (sqrt (/ (- 1 x) (- -1 x))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
6 calls:
| 2.0ms | t |
| 2.0ms | x |
| 2.0ms | l |
| 2.0ms | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
| 1.0ms | (*.f64 l l) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.3% | 1 | l |
| 74.3% | 1 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l)))) |
| 74.3% | 1 | (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
| 74.3% | 1 | (*.f64 l l) |
| 74.3% | 1 | x |
| 74.3% | 1 | t |
Compiled 40 to 38 computations (5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 5.23694671108205e+141 | 1.061058283264992e+144 |
| 10.0ms | 2.4075244131491702e-98 | 4.946073700849674e-98 |
| 10.0ms | 104× | 0 | valid |
| 10.0ms | 56× | 1 | valid |
| 1.0ms | 4× | 1 | invalid |
Compiled 1 248 to 712 computations (42.9% saved)
ival-mult: 5.0ms (30.6% of total)ival-div: 3.0ms (18.4% of total)ival-sqrt: 3.0ms (18.4% of total)ival-sub: 2.0ms (12.2% of total)adjust: 2.0ms (12.2% of total)ival-add: 2.0ms (12.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.23694671108205e+141 | 1.061058283264992e+144 |
| 38.0ms | 2.577808823700579e-87 | 3.8257765388498444e-87 |
| 28.0ms | 6× | 1 | invalid |
| 5.0ms | 26× | 1 | valid |
| 2.0ms | 22× | 0 | valid |
| 0.0ms | 1× | 0 | invalid |
Compiled 1 317 to 727 computations (44.8% saved)
ival-mult: 2.0ms (30.7% of total)ival-sub: 1.0ms (15.3% of total)ival-add: 1.0ms (15.3% of total)adjust: 1.0ms (15.3% of total)ival-div: 1.0ms (15.3% of total)ival-sqrt: 1.0ms (15.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 2.336942208335092e+34 | 3.453309881251749e+40 |
| 10.0ms | 106× | 0 | valid |
| 7.0ms | 38× | 1 | valid |
| 2.0ms | 13× | 1 | invalid |
| 0.0ms | 1× | 0 | invalid |
Compiled 1 029 to 591 computations (42.6% saved)
ival-mult: 5.0ms (32.8% of total)ival-sqrt: 3.0ms (19.7% of total)ival-add: 2.0ms (13.1% of total)ival-sub: 2.0ms (13.1% of total)ival-div: 2.0ms (13.1% of total)adjust: 1.0ms (6.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 49.0ms | 7.412297270434353e-157 | 4.7568628544922074e-154 |
| 32.0ms | 66× | 1 | valid |
| 6.0ms | 56× | 0 | valid |
| 3.0ms | 15× | 1 | invalid |
| 2.0ms | 6× | 2 | valid |
| 0.0ms | 2× | 0 | invalid |
Compiled 838 to 504 computations (39.9% saved)
ival-sub: 22.0ms (58.5% of total)ival-mult: 5.0ms (13.3% of total)ival-div: 3.0ms (8% of total)adjust: 3.0ms (8% of total)ival-sqrt: 3.0ms (8% of total)ival-add: 2.0ms (5.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 3.2607037665160473e+243 | 1.9871685374557733e+245 |
| 19.0ms | 81× | 1 | valid |
| 5.0ms | 27× | 1 | invalid |
| 3.0ms | 31× | 0 | valid |
| 1.0ms | 8× | 0 | invalid |
Compiled 674 to 444 computations (34.1% saved)
ival-mult: 5.0ms (26.8% of total)ival-div: 3.0ms (16.1% of total)adjust: 3.0ms (16.1% of total)ival-add: 3.0ms (16.1% of total)ival-sqrt: 3.0ms (16.1% of total)ival-sub: 2.0ms (10.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 111 | 807 |
| 1 | 176 | 797 |
| 2 | 328 | 795 |
| 3 | 654 | 789 |
| 4 | 1220 | 788 |
| 5 | 3912 | 768 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 t #s(literal 6156563468186637/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))))) (if (<=.f64 t #s(literal 135000000000000007537929765481672441341440982980440381928350703745195451692047122007049773255461280707421715370786506447405877905128241995186176 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 l x) (/.f64 l (*.f64 t t)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 t t)))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))))) |
(if (<=.f64 t #s(literal 8063081071840095/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) x)))))) (if (<=.f64 t #s(literal 135000000000000007537929765481672441341440982980440381928350703745195451692047122007049773255461280707421715370786506447405877905128241995186176 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 l x) (/.f64 l (*.f64 t t)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 t t)))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))))) |
(if (<=.f64 t #s(literal 379999999999999980111797770245780799488 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) x)))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))))) |
(if (<=.f64 t #s(literal 463744502762071/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))))) |
(if (<=.f64 l #s(literal 37999999999999998288329026156371230991770376299557437686037053932992284424718853324655528777315190294334864824989709432706245000962633917694965741020630135079294592175256146982833719180950762037116458140916847745500882506900368171485357529890816 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 t #s(literal 6156563468186637/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))))) (if (<=.f64 t #s(literal 135000000000000007537929765481672441341440982980440381928350703745195451692047122007049773255461280707421715370786506447405877905128241995186176 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 l x) (/.f64 l (*.f64 t t)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 t t)))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))))) |
(if (<=.f64 t #s(literal 6156563468186637/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136 binary64)) (*.f64 t (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) (fma.f64 (*.f64 t (+.f64 (/.f64 t x) t)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 l l (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))))))))) (if (<=.f64 t #s(literal 135000000000000007537929765481672441341440982980440381928350703745195451692047122007049773255461280707421715370786506447405877905128241995186176 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 l x) (/.f64 l (*.f64 t t)) (pow.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 t t)))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))))) |
(if (<=.f64 t #s(literal 8063081071840095/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) x)))))) (if (<=.f64 t #s(literal 135000000000000007537929765481672441341440982980440381928350703745195451692047122007049773255461280707421715370786506447405877905128241995186176 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 l x) (/.f64 l (*.f64 t t)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 t t)))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))))) |
(if (<=.f64 t #s(literal 8063081071840095/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) x)))))) (if (<=.f64 t #s(literal 135000000000000007537929765481672441341440982980440381928350703745195451692047122007049773255461280707421715370786506447405877905128241995186176 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 l x) (/.f64 l (*.f64 t t)) (pow.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (*.f64 t t)))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))))) |
(if (<=.f64 t #s(literal 379999999999999980111797770245780799488 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l))) x)))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))))) |
(if (<=.f64 t #s(literal 463744502762071/483067190377157293086918986366498418037365916213304374832154406431439892786195053067024220822740322245307952003937772147170634832630373456967863584183385093587122601852928 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 #s(approx (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)) #s(approx (+ (* 2 (+ (/ (* t t) x) (* t t))) (+ (/ (* l l) x) (/ (+ (* (* t t) 2) (* l l)) x))) (*.f64 (/.f64 (*.f64 l l) x) #s(literal 2 binary64)))))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))))) |
(if (<=.f64 l #s(literal 37999999999999998288329026156371230991770376299557437686037053932992284424718853324655528777315190294334864824989709432706245000962633917694965741020630135079294592175256146982833719180950762037116458140916847745500882506900368171485357529890816 binary64)) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) #s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (*.f64 (sqrt.f64 #s(approx (/ 1 (- (neg (+ (* (* t t) 2) (* l l))) (* l l))) (/.f64 #s(literal -1/2 binary64) (*.f64 l l)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) t)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(approx (* (sqrt (/ (- x 1) (+ (* x x) -1))) (sqrt (- x 1))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (/ (* (sqrt 2) t) (sqrt (- (* (/ (+ x 1) (- x 1)) (+ (* l l) (* 2 (* t t)))) (* l l)))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 676 | 9425 |
| 1 | 2332 | 8299 |
| 0 | 8755 | 7937 |
| 0 | 1697 | 21663 |
| 1 | 5913 | 19086 |
| 0 | 8735 | 18170 |
| 0 | 78 | 657 |
| 0 | 122 | 647 |
| 1 | 570 | 613 |
| 2 | 4999 | 612 |
| 0 | 8159 | 603 |
| 0 | 868 | 10012 |
| 1 | 2867 | 8646 |
| 0 | 8642 | 8255 |
| 0 | 55 | 422 |
| 0 | 90 | 399 |
| 1 | 375 | 389 |
| 2 | 3272 | 385 |
| 0 | 9351 | 382 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 347 to 540 computations (59.9% saved)
(abs l)
Compiled 3 792 to 1 078 computations (71.6% saved)
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