
Time bar (total: 13.9s)
| 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 |
| 12.5% | 12.5% | 87.4% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 34.4% | 34.3% | 65.5% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 47.5% | 44.5% | 49.1% | 0.1% | 0% | 6.2% | 0% | 8 |
| 54.7% | 49.9% | 41.3% | 0.1% | 0% | 8.6% | 0% | 9 |
| 61% | 52.9% | 33.7% | 0.1% | 0% | 13.3% | 0% | 10 |
| 67.4% | 57.8% | 28% | 0.1% | 0% | 14% | 0% | 11 |
| 72.5% | 60.5% | 23% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 40 to 22 computations (45% saved)
| 2.2s | 8 256× | 0 | valid |
| 154.0ms | 1 008× | 0 | invalid |
ival-mult: 903.0ms (46.2% of total)ival-sqrt: 333.0ms (17% of total)ival-neg: 246.0ms (12.6% of total)ival-div: 203.0ms (10.4% of total)ival-sub: 120.0ms (6.1% of total)ival-add: 47.0ms (2.4% of total)ival-if: 44.0ms (2.3% of total)ival->=: 35.0ms (1.8% of total)exact: 13.0ms (0.7% of total)ival-true: 7.0ms (0.4% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 114 | 0 | - | 1 | (7.877105934372126e-122 6.831723879365169e-160 -1.5034767689255124e-207) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 64 | 1 | (-2.382421890119655e-112 -7.551283412010706e+142 7.951167613502362e-70) | 0 | - | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 55 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 17 | 0 | - | 4 | (4.764812701214553e-179 -5.217278196192135e+129 -0.009959721500097385) | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 15 | 0 | - | 3 | (5.459424486281925e-220 4.534541396850856e-122 5.650163705739073e-217) | (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
| 5 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (>=.f64 b #s(literal 0 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 0 | 0 | - | 0 | - | #s(literal 0 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | oflow-rescue | 104 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | overflow | 104 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 20 | |
| ↳ | (*.f64 b b) | overflow | 93 | |
-.f64 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 65 | 0 |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 55 | 0 |
/.f64 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | u/n | 13 | 0 |
| ↳ | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 23 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 9 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 38 | |
| ↳ | (*.f64 b b) | underflow | 40 | |
/.f64 | (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) | n/u | 12 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 9 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 33 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 38 | |
| ↳ | (*.f64 b b) | underflow | 40 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | uflow-rescue | 9 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 9 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 38 | |
| ↳ | (*.f64 b b) | underflow | 40 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | nan-rescue | 5 | 0 |
| ↳ | (*.f64 b b) | overflow | 93 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 20 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 80 | 0 |
| - | 107 | 69 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 80 | 0 | 0 |
| - | 107 | 0 | 69 |
| number | freq |
|---|---|
| 0 | 69 |
| 1 | 116 |
| 2 | 66 |
| 3 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 60.0ms | 166× | 2 | valid |
| 31.0ms | 138× | 1 | valid |
| 21.0ms | 174× | 0 | valid |
| 13.0ms | 34× | 3 | valid |
Compiled 332 to 64 computations (80.7% saved)
ival-mult: 21.0ms (24.2% of total)adjust: 15.0ms (17.3% of total)ival-sub: 14.0ms (16.1% of total)ival-div: 13.0ms (15% of total)ival-sqrt: 9.0ms (10.4% of total)ival-if: 5.0ms (5.8% of total)ival-add: 5.0ms (5.8% of total)ival->=: 2.0ms (2.3% of total)ival-neg: 2.0ms (2.3% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 355 |
| 1 | 222 | 336 |
| 2 | 682 | 336 |
| 3 | 1829 | 329 |
| 4 | 4477 | 329 |
| 5 | 6177 | 329 |
| 6 | 6905 | 329 |
| 7 | 7179 | 329 |
| 8 | 7230 | 329 |
| 9 | 7252 | 329 |
| 10 | 7392 | 329 |
| 11 | 7683 | 329 |
| 12 | 7721 | 329 |
| 13 | 7721 | 329 |
| 0 | 20 | 38 |
| 0 | 33 | 38 |
| 1 | 57 | 37 |
| 2 | 128 | 37 |
| 3 | 279 | 36 |
| 4 | 472 | 36 |
| 5 | 847 | 36 |
| 6 | 1706 | 36 |
| 7 | 2263 | 36 |
| 8 | 2636 | 36 |
| 9 | 2889 | 36 |
| 10 | 2914 | 36 |
| 11 | 2923 | 36 |
| 12 | 2970 | 36 |
| 13 | 3126 | 36 |
| 14 | 3162 | 36 |
| 15 | 3205 | 36 |
| 16 | 3209 | 36 |
| 17 | 3209 | 36 |
| 0 | 3209 | 34 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
Compiled 38 to 20 computations (47.4% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
Compiled 38 to 20 computations (47.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 145 |
| 0 | 33 | 145 |
| 1 | 57 | 142 |
| 2 | 128 | 142 |
| 3 | 279 | 140 |
| 4 | 472 | 140 |
| 5 | 847 | 140 |
| 6 | 1706 | 140 |
| 7 | 2263 | 140 |
| 8 | 2636 | 140 |
| 9 | 2889 | 140 |
| 10 | 2914 | 140 |
| 11 | 2923 | 140 |
| 12 | 2970 | 140 |
| 13 | 3126 | 140 |
| 14 | 3162 | 140 |
| 15 | 3205 | 140 |
| 16 | 3209 | 140 |
| 17 | 3209 | 140 |
| 0 | 3209 | 132 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 #s(literal 2 binary64) c) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 #s(literal 2 binary64) c) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.4999739097446825 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 11.806596657035637 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 14.472839976147396 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 26.504486835583304 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 119.0ms | 83× | 2 | valid |
| 15.0ms | 69× | 1 | valid |
| 11.0ms | 87× | 0 | valid |
| 7.0ms | 17× | 3 | valid |
Compiled 147 to 22 computations (85% saved)
ival-sub: 86.0ms (65.2% of total)ival-sqrt: 15.0ms (11.4% of total)ival-mult: 10.0ms (7.6% of total)adjust: 7.0ms (5.3% of total)ival-div: 6.0ms (4.5% of total)ival-if: 2.0ms (1.5% of total)ival-add: 2.0ms (1.5% of total)ival->=: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ()) |
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ()) |
#s(alt (>=.f64 b #s(literal 0 binary64)) (patch (>=.f64 b #s(literal 0 binary64)) #<representation bool>) () ()) |
#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) (taylor inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -4))) (taylor inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) (taylor inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) (taylor inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | b | @ | -inf | ((/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (>= b 0) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 4.0ms | c | @ | 0 | ((/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (>= b 0) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 3.0ms | c | @ | inf | ((/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (>= b 0) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 3.0ms | b | @ | inf | ((/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (>= b 0) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 3.0ms | c | @ | -inf | ((/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (>= b 0) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 650 | 4075 |
| 1 | 2083 | 4039 |
| 2 | 6819 | 3997 |
| 0 | 8155 | 3811 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -4 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
| Outputs |
|---|
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) a) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)))) c b) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)))) c) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) b) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)) (*.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/64 binary64)))) c) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
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(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)))) a) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) a) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (neg.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) a) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)))) (neg.f64 a))) (neg.f64 a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal -1/4 binary64) (neg.f64 b)) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)))) (neg.f64 a)) b) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) (neg.f64 b)) (neg.f64 a)))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 b b)) #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)))) (neg.f64 a)) b) a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 65 |
| 0 | 28 | 65 |
| 1 | 89 | 64 |
| 2 | 665 | 62 |
| 0 | 9639 | 57 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(>=.f64 b #s(literal 0 binary64)) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| Outputs |
|---|
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Compiled 65 752 to 4 503 computations (93.2% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 150 | 11 | 1 161 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1 151 | 11 | 1 162 |
| Status | Accuracy | Program |
|---|---|---|
| 70.5% | (if (>=.f64 b #s(literal 0 binary64)) (fma.f64 b (/.f64 #s(literal -1/2 binary64) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 #s(literal -1/2 binary64) a))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 47.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 65.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) | |
| ▶ | 70.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) |
| 63.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))) | |
| 70.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))) | |
| ▶ | 70.8% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b)))) |
| ▶ | 69.8% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 69.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| ▶ | 55.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| ▶ | 55.9% | (if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
Compiled 852 to 556 computations (34.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| cost-diff | 192 | (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| cost-diff | 128 | (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 896 | (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 982 |
| 0 | 103 | 985 |
| 1 | 177 | 936 |
| 2 | 406 | 936 |
| 3 | 949 | 932 |
| 4 | 2224 | 932 |
| 5 | 6394 | 912 |
| 0 | 8364 | 911 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b)))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b))) |
(*.f64 #s(literal 2 binary64) c) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b)) |
(*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b) |
(-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) |
#s(literal -2 binary64) |
(*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64)) |
(*.f64 a (/.f64 (/.f64 c b) b)) |
(/.f64 (/.f64 c b) b) |
(/.f64 c b) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b))) |
#s(literal 2 binary64) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(/.f64 c b) |
c |
a |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 #s(literal 2 binary64) c) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
a |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(*.f64 #s(literal 2 binary64) c) |
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) #s(literal 2 binary64))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) #s(literal -1/2 binary64)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) c) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) #s(literal 2 binary64))) |
(*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b) |
(*.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) #s(literal 2 binary64)) |
(-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) |
(fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal 2 binary64) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64)) |
(*.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64)) |
(*.f64 a (/.f64 (/.f64 c b) b)) |
(*.f64 (/.f64 (/.f64 c b) b) a) |
(/.f64 (/.f64 c b) b) |
(/.f64 c b) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b))) |
(*.f64 (fma.f64 (/.f64 a b) c (neg.f64 b)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(fma.f64 (/.f64 a b) c (neg.f64 b)) |
(/.f64 c b) |
c |
a |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 #s(literal 2 binary64) c) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
a |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) #s(literal -1/2 binary64)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(*.f64 #s(literal 2 binary64) c) |
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) b) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 11.806596657035637 | (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) | |
| accuracy | 14.472839976147396 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 25.765048020333044 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| accuracy | 26.504486835583304 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 11.806596657035637 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| accuracy | 11.806596657035637 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 26.504486835583304 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 26.504486835583304 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 3.4999739097446825 | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 11.806596657035637 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 26.504486835583304 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 40.847244979084714 | #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) | |
| accuracy | 11.806596657035637 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 11.806596657035637 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 26.504486835583304 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 26.504486835583304 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 5.426075216838889 | (*.f64 a (/.f64 (/.f64 c b) b)) | |
| accuracy | 14.472839976147396 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 26.504486835583304 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 40.70244462748065 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b)) |
| 112.0ms | 17× | 3 | valid |
| 106.0ms | 83× | 2 | valid |
| 62.0ms | 69× | 1 | valid |
| 34.0ms | 87× | 0 | valid |
Compiled 933 to 54 computations (94.2% saved)
ival-if: 37.0ms (24.5% of total)ival-mult: 33.0ms (21.9% of total)ival-div: 26.0ms (17.3% of total)adjust: 20.0ms (13.3% of total)ival-sub: 12.0ms (8% of total)ival-sqrt: 11.0ms (7.3% of total)ival-add: 8.0ms (5.3% of total)ival->=: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b) (patch (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) (patch (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (patch (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ()) |
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ()) |
#s(alt (>=.f64 b #s(literal 0 binary64)) (patch (>=.f64 b #s(literal 0 binary64)) #<representation bool>) () ()) |
#s(alt (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) (patch (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b)) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ()) |
#s(alt (*.f64 a (/.f64 (/.f64 c b) b)) (patch (*.f64 a (/.f64 (/.f64 c b) b)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -2 b) (taylor 0 c) (#s(alt (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b) (patch (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 b) (* 2 (/ (* a c) b))) (taylor 0 c) (#s(alt (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b) (patch (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 b) (* 2 (/ (* a c) b))) (taylor 0 c) (#s(alt (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b) (patch (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 b) (* 2 (/ (* a c) b))) (taylor 0 c) (#s(alt (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b) (patch (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt -2 (taylor 0 c) (#s(alt (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) (patch (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ (* a c) (pow b 2))) 2) (taylor 0 c) (#s(alt (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) (patch (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ (* a c) (pow b 2))) 2) (taylor 0 c) (#s(alt (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) (patch (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ (* a c) (pow b 2))) 2) (taylor 0 c) (#s(alt (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) (patch (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | a | @ | inf | ((* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (- -2 (* (* a (/ (/ c b) b)) -2)) (- 0 (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (>= b 0) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ 1/2 (/ a (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* a (/ (/ c b) b)) (sqrt (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) |
| 6.0ms | c | @ | -inf | ((* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (- -2 (* (* a (/ (/ c b) b)) -2)) (- 0 (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (>= b 0) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ 1/2 (/ a (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* a (/ (/ c b) b)) (sqrt (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) |
| 5.0ms | c | @ | 0 | ((* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (- -2 (* (* a (/ (/ c b) b)) -2)) (- 0 (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (>= b 0) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ 1/2 (/ a (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* a (/ (/ c b) b)) (sqrt (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) |
| 5.0ms | b | @ | inf | ((* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (- -2 (* (* a (/ (/ c b) b)) -2)) (- 0 (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (>= b 0) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ 1/2 (/ a (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* a (/ (/ c b) b)) (sqrt (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) |
| 4.0ms | c | @ | inf | ((* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (- -2 (* (* a (/ (/ c b) b)) -2)) (- 0 (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (>= b 0) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ 1/2 (/ a (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* a (/ (/ c b) b)) (sqrt (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (/ 1 (+ (* (* -4 c) a) (* b b))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1145 | 16035 |
| 1 | 3733 | 15840 |
| 0 | 8162 | 15138 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
-2 |
(- (* 2 (/ (* a c) (pow b 2))) 2) |
(- (* 2 (/ (* a c) (pow b 2))) 2) |
(- (* 2 (/ (* a c) (pow b 2))) 2) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (* c (- (* 2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (+ (* c (- (* c (- (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* -2 (/ (pow a 2) (pow b 5))))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* 2 (/ (* a c) b)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(/ 1 b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b)) |
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b)) |
(* 2 (/ (* a c) b)) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* 2 (/ (* a c) (pow b 2))) |
(* -1 (* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (- (* 1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (- (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) |
(* 2 (/ (* a c) b)) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -4 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* 2 (/ (* a c) (pow b 2))) |
(* -1 (* c (- (* 2 (/ 1 c)) (* 2 (/ a (pow b 2)))))) |
(* -1 (* c (- (* 2 (/ 1 c)) (* 2 (/ a (pow b 2)))))) |
(* -1 (* c (- (* 2 (/ 1 c)) (* 2 (/ a (pow b 2)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (- (* -1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* 2 (/ (* a c) b)) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(* 2 (/ (* a c) (pow b 2))) |
(/ (- (* -2 (pow b 2)) (* -2 (* a c))) (pow b 2)) |
(/ (- (* -2 (pow b 2)) (* -2 (* a c))) (pow b 2)) |
(/ (- (* -2 (pow b 2)) (* -2 (* a c))) (pow b 2)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(- (* 1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(- (* b (+ (* b (- (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4))))))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4))))))))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
-2 |
(- (* 2 (/ (* a c) (pow b 2))) 2) |
(- (* 2 (/ (* a c) (pow b 2))) 2) |
(- (* 2 (/ (* a c) (pow b 2))) 2) |
(/ c b) |
(/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(/ c b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* 2 (/ (* a c) b)) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(/ 1 b) |
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
-2 |
(- (* 2 (/ (* a c) (pow b 2))) 2) |
(- (* 2 (/ (* a c) (pow b 2))) 2) |
(- (* 2 (/ (* a c) (pow b 2))) 2) |
(/ b a) |
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (* b (- (/ (* a (pow c 2)) (pow b 4)) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(/ b a) |
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(/ -1 b) |
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
-2 |
(- (* 2 (/ (* a c) (pow b 2))) 2) |
(- (* 2 (/ (* a c) (pow b 2))) 2) |
(- (* 2 (/ (* a c) (pow b 2))) 2) |
(/ c b) |
(- (/ (* a (pow c 2)) (pow b 3)) (* -1 (/ c b))) |
(- (* a (- (* 2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))) |
(- (* a (- (* a (- (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -2 (/ (pow c 3) (pow b 5))))) (* -1 (/ (pow c 2) (pow b 3))))) (* -1 (/ c b))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(/ 1 b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b)) |
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b)) |
(* 2 (/ (* a c) b)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* 2 (/ (* a c) (pow b 2))) |
(* -1 (* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(- (* 1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(- (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) |
(* 2 (/ (* a c) b)) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* 2 (/ (* a c) (pow b 2))) |
(* -1 (* a (- (* 2 (/ 1 a)) (* 2 (/ c (pow b 2)))))) |
(* -1 (* a (- (* 2 (/ 1 a)) (* 2 (/ c (pow b 2)))))) |
(* -1 (* a (- (* 2 (/ 1 a)) (* 2 (/ c (pow b 2)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(- (* 1/2 (/ b a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))) |
(- (* -1 (/ (- (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))) |
(- (* -1 (/ (- (* -1 (/ (- (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* -1 (* (sqrt (/ c a)) (sqrt -1)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(/ (* a c) (pow b 2)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
| Outputs |
|---|
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
-2 |
#s(literal -2 binary64) |
(- (* 2 (/ (* a c) (pow b 2))) 2) |
(fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) |
(- (* 2 (/ (* a c) (pow b 2))) 2) |
(fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) |
(- (* 2 (/ (* a c) (pow b 2))) 2) |
(fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) |
(/ c b) |
(/.f64 c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (* c (- (* 2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (* c (- (* c (- (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* -2 (/ (pow a 2) (pow b 5))))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c) |
(* -2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(/ c b) |
(/.f64 c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c) |
(* -2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* -2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(* -2 b) |
(*.f64 b #s(literal -2 binary64)) |
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(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)))) c) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c))) c) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)))) c) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c))) c) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c)))) c) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
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(/ (* a c) (pow b 2)) |
(*.f64 (/.f64 a b) (/.f64 c b)) |
(/ (* a c) (pow b 2)) |
(*.f64 (/.f64 a b) (/.f64 c b)) |
(/ (* a c) (pow b 2)) |
(*.f64 (/.f64 a b) (/.f64 c b)) |
(/ (* a c) (pow b 2)) |
(*.f64 (/.f64 a b) (/.f64 c b)) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c))) c) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)))) c) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c)))) c) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64)) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c))) c) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)))) c) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (*.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/4 binary64)))) c) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
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(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
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(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/32 binary64) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) |
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(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 7 binary64))))) (/.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (/.f64 c (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/256 binary64) (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1/4 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/128 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/32 binary64) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))))) |
(* 2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64)) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
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(/ (* a c) (pow b 2)) |
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(/ (* a c) (pow b 2)) |
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(/ (* a c) (pow b 2)) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
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(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal 2 binary64)) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 b a) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64)))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (neg.f64 b)) a) #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -2 binary64)))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/4 binary64))) (neg.f64 a)) b) a) #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -2 binary64)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 a))) (neg.f64 a))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal 2 binary64)) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(neg.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64) (/.f64 b a)))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) a) #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -2 binary64)))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/4 binary64))) a)) a) #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -2 binary64)))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) #s(literal 1/2 binary64)) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64)))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) a) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/256 binary64) (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))) (pow.f64 a #s(literal 3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 311 |
| 0 | 95 | 311 |
| 1 | 336 | 289 |
| 2 | 2768 | 289 |
| 0 | 8250 | 286 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(>=.f64 b #s(literal 0 binary64)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b)) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(*.f64 a (/.f64 (/.f64 c b) b)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
| Outputs |
|---|
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Compiled 169 600 to 8 023 computations (95.3% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 309 | 14 | 3 323 |
| Fresh | 3 | 3 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 3 315 | 19 | 3 334 |
| Status | Accuracy | Program |
|---|---|---|
| 47.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 70.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (neg.f64 b)))) | |
| 65.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) | |
| ✓ | 70.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) |
| ▶ | 63.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))) |
| 70.8% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) (/.f64 c b) #s(literal 2 binary64)) (neg.f64 b))))) | |
| 70.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -2 binary64)) #s(literal 2 binary64))) b) (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (/.f64 c b) b) #s(literal -2 binary64)))))) | |
| ▶ | 70.6% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c))))) |
| ▶ | 70.8% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) |
| 69.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 53.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) | |
| 69.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))) | |
| ▶ | 36.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
| ✓ | 55.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 56.0% | (if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) | |
| 70.8% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 #s(literal -2 binary64) (*.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -2 binary64))) b)))) | |
| ▶ | 69.7% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| 36.6% | (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 c b)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 70.5% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))) |
Compiled 1 355 to 868 computations (35.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1024 | (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 192 | (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c) | |
| cost-diff | 0 | #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| cost-diff | 0 | #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 1222 |
| 0 | 132 | 1209 |
| 1 | 231 | 1160 |
| 2 | 450 | 1160 |
| 3 | 966 | 1154 |
| 4 | 3158 | 1132 |
| 5 | 6113 | 1132 |
| 0 | 8533 | 1117 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))))) |
(*.f64 #s(literal 2 binary64) c) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) |
#s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(fma.f64 a (/.f64 c b) (neg.f64 b)) |
(/.f64 c b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b))) |
#s(literal 2 binary64) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(/.f64 c b) |
c |
a |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)))) |
(*.f64 #s(literal 2 binary64) c) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) |
(/.f64 (*.f64 c a) b) |
(*.f64 c a) |
#s(literal -2 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(/.f64 c b) |
c |
a |
(neg.f64 b) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 #s(literal 2 binary64) c) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
(*.f64 b b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c)))) |
(*.f64 #s(literal 2 binary64) c) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c))) |
#s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c)) |
(*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c) |
(fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) |
(/.f64 b c) |
#s(literal -2 binary64) |
(*.f64 (/.f64 a b) #s(literal 2 binary64)) |
(/.f64 a b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) |
(*.f64 #s(literal 2 binary64) c) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b) |
(*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) |
(fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) |
(*.f64 a (/.f64 (/.f64 c b) b)) |
(/.f64 (/.f64 c b) b) |
(/.f64 c b) |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) c) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))) |
#s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))) |
#s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)) |
(fma.f64 a (/.f64 c b) (neg.f64 b)) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(/.f64 c b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 c a))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b))) |
(*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(/.f64 c b) |
c |
a |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 c a)))) |
(*.f64 #s(literal 2 binary64) c) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 c a))) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 c a)) |
(/.f64 (*.f64 c a) b) |
(*.f64 (/.f64 a b) c) |
(*.f64 c a) |
#s(literal -2 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(/.f64 c b) |
c |
a |
(neg.f64 b) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 #s(literal 2 binary64) c) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
(*.f64 b b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c)))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) c) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))) |
#s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c)) |
#s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c) |
(*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 a b) (/.f64 b c))) |
(/.f64 b c) |
#s(literal -2 binary64) |
(*.f64 (/.f64 a b) #s(literal 2 binary64)) |
(/.f64 a b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -4 binary64)) c b) b)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -4 binary64)) c b) b))))) |
(*.f64 #s(literal 2 binary64) c) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -4 binary64)) c b) b))) b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -4 binary64)) c b) b))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -4 binary64)) c b) b)) |
(*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b) |
(*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -4 binary64)) c b) b) |
(*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) |
(fma.f64 (*.f64 (/.f64 a b) #s(literal -4 binary64)) c b) |
(fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) |
(*.f64 a (/.f64 (/.f64 c b) b)) |
(*.f64 (/.f64 (/.f64 c b) b) a) |
(/.f64 (/.f64 c b) b) |
(/.f64 c b) |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 11.806596657035637 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) | |
| accuracy | 14.472839976147396 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 26.504486835583304 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 26.504486835583304 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) | |
| accuracy | 11.151645704541652 | (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c) | |
| accuracy | 14.472839976147396 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 26.504486835583304 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 40.70244462748065 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c))) | |
| accuracy | 3.632786410798839 | (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) | |
| accuracy | 11.806596657035637 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 26.504486835583304 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 40.847244979084714 | #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) | |
| accuracy | 3.4999739097446825 | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 5.478155131298518 | (/.f64 (*.f64 c a) b) | |
| accuracy | 40.847244979084714 | #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) | |
| accuracy | 41.131156032509594 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) | |
| accuracy | 3.4999739097446825 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.472839976147396 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 26.504486835583304 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 40.70244462748065 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) |
| 92.0ms | 83× | 2 | valid |
| 68.0ms | 87× | 0 | valid |
| 61.0ms | 17× | 3 | valid |
| 52.0ms | 69× | 1 | valid |
Compiled 905 to 61 computations (93.3% saved)
ival-mult: 82.0ms (48.3% of total)ival-div: 34.0ms (20% of total)adjust: 21.0ms (12.4% of total)ival-sub: 9.0ms (5.3% of total)ival-add: 9.0ms (5.3% of total)ival-sqrt: 8.0ms (4.7% of total)ival-if: 5.0ms (2.9% of total)ival->=: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ()) |
#s(alt (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) (patch (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) #<representation binary64>) () ()) |
#s(alt (>=.f64 b #s(literal 0 binary64)) (patch (>=.f64 b #s(literal 0 binary64)) #<representation bool>) () ()) |
#s(alt (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) (patch (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) #<representation binary64>) () ()) |
#s(alt (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (patch (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c) (patch (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) (patch (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) (patch (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) #<representation binary64>) () ()) |
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c a) b) (patch (/.f64 (*.f64 c a) b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) (taylor 0 c) (#s(alt (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) (patch (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) #<representation binary64>) () ())) ()) |
#s(alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) (taylor 0 c) (#s(alt (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) (patch (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) #<representation binary64>) () ())) ()) |
#s(alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) (taylor 0 c) (#s(alt (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) (patch (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) #<representation binary64>) () ())) ()) |
#s(alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) (taylor 0 c) (#s(alt (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) (patch (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) #<representation binary64>) () ())) ()) |
#s(alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) (taylor 0 c) (#s(alt (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) (patch (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) (taylor 0 c) (#s(alt (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) (patch (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) (taylor 0 c) (#s(alt (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) (patch (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (/.f64 (*.f64 c a) b) (patch (/.f64 (*.f64 c a) b) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | c | @ | 0 | ((/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (if (>= b 0) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (/ (* 2 c) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ b c) -2) (* (/ a b) 2)) c) (+ (* (/ b c) -2) (* (/ a b) 2)) (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* c a) b) (sqrt (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 5.0ms | a | @ | inf | ((/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (if (>= b 0) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (/ (* 2 c) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ b c) -2) (* (/ a b) 2)) c) (+ (* (/ b c) -2) (* (/ a b) 2)) (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* c a) b) (sqrt (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 3.0ms | a | @ | -inf | ((/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (if (>= b 0) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (/ (* 2 c) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ b c) -2) (* (/ a b) 2)) c) (+ (* (/ b c) -2) (* (/ a b) 2)) (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* c a) b) (sqrt (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 3.0ms | b | @ | -inf | ((/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (if (>= b 0) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (/ (* 2 c) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ b c) -2) (* (/ a b) 2)) c) (+ (* (/ b c) -2) (* (/ a b) 2)) (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* c a) b) (sqrt (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 3.0ms | b | @ | inf | ((/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (if (>= b 0) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (/ (* 2 c) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ b c) -2) (* (/ a b) 2)) c) (+ (* (/ b c) -2) (* (/ a b) 2)) (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* c a) b) (sqrt (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 740 | 18482 |
| 1 | 2352 | 18344 |
| 2 | 7602 | 18313 |
| 0 | 8042 | 17444 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(* -2 (/ b c)) |
(/ (+ (* -2 b) (* 2 (/ (* a c) b))) c) |
(/ (+ (* -2 b) (* 2 (/ (* a c) b))) c) |
(/ (+ (* -2 b) (* 2 (/ (* a c) b))) c) |
b |
(+ b (* -4 (/ (* a c) b))) |
(+ b (* -4 (/ (* a c) b))) |
(+ b (* -4 (/ (* a c) b))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* 2 (/ (* a c) b)) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* 2 (/ a b)) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(* -4 (/ (* a c) b)) |
(* c (+ (* -4 (/ a b)) (/ b c))) |
(* c (+ (* -4 (/ a b)) (/ b c))) |
(* c (+ (* -4 (/ a b)) (/ b c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -4 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 (/ (* a c) b)) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* 2 (/ a b)) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(* -4 (/ (* a c) b)) |
(* -1 (* c (+ (* -1 (/ b c)) (* 4 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 4 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 4 (/ a b))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* 2 (/ (* a c) b)) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(* 2 (/ a b)) |
(/ (+ (* -2 (/ (pow b 2) c)) (* 2 a)) b) |
(/ (+ (* -2 (/ (pow b 2) c)) (* 2 a)) b) |
(/ (+ (* -2 (/ (pow b 2) c)) (* 2 a)) b) |
(* -4 (/ (* a c) b)) |
(/ (+ (* -4 (* a c)) (pow b 2)) b) |
(/ (+ (* -4 (* a c)) (pow b 2)) b) |
(/ (+ (* -4 (* a c)) (pow b 2)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* -2 (/ b c)) |
(* b (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* b (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* b (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
b |
(* b (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -2 (/ b c)) |
(* -1 (* b (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* b (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* b (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
b |
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 1))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(* -2 (/ b c)) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
(+ (* -2 (/ b c)) (* 2 (/ a b))) |
b |
(+ b (* -4 (/ (* a c) b))) |
(+ b (* -4 (/ (* a c) b))) |
(+ b (* -4 (/ (* a c) b))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (/ (* a c) b)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* 2 (/ a b)) |
(* a (+ (* -2 (/ b (* a c))) (* 2 (/ 1 b)))) |
(* a (+ (* -2 (/ b (* a c))) (* 2 (/ 1 b)))) |
(* a (+ (* -2 (/ b (* a c))) (* 2 (/ 1 b)))) |
(* -4 (/ (* a c) b)) |
(* a (+ (* -4 (/ c b)) (/ b a))) |
(* a (+ (* -4 (/ c b)) (/ b a))) |
(* a (+ (* -4 (/ c b)) (/ b a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 2 (/ (* a c) b)) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* 2 (/ a b)) |
(* -1 (* a (- (* 2 (/ b (* a c))) (* 2 (/ 1 b))))) |
(* -1 (* a (- (* 2 (/ b (* a c))) (* 2 (/ 1 b))))) |
(* -1 (* a (- (* 2 (/ b (* a c))) (* 2 (/ 1 b))))) |
(* -4 (/ (* a c) b)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
| Outputs |
|---|
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b)) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b))) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b))) |
(* -2 (/ b c)) |
(*.f64 (/.f64 b c) #s(literal -2 binary64)) |
(/ (+ (* -2 b) (* 2 (/ (* a c) b))) c) |
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) c)) |
(/ (+ (* -2 b) (* 2 (/ (* a c) b))) c) |
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) c)) |
(/ (+ (* -2 b) (* 2 (/ (* a c) b))) c) |
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) c)) |
b |
(+ b (* -4 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a b) b) |
(+ b (* -4 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a b) b) |
(+ b (* -4 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a b) b) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) a) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) a) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)))) c b) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) a) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(/ (* a c) b) |
(*.f64 (/.f64 c b) a) |
(/ (* a c) b) |
(*.f64 (/.f64 c b) a) |
(/ (* a c) b) |
(*.f64 (/.f64 c b) a) |
(/ (* a c) b) |
(*.f64 (/.f64 c b) a) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)))) c b) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) a) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) a) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)))) c b) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b c) a))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b c) a)))) c) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b c) a)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))))) c) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b c) a))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b c) a)))) c) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b c) a)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))))) c) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c))) c) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
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(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
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(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal -1 binary64)) b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
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(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
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(/ (* a c) b) |
(*.f64 (/.f64 c b) a) |
(/ (* a c) b) |
(*.f64 (/.f64 c b) a) |
(/ (* a c) b) |
(*.f64 (/.f64 c b) a) |
(/ (* a c) b) |
(*.f64 (/.f64 c b) a) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b)) |
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(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))) b #s(literal -1 binary64)) b (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) |
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(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(*.f64 (-.f64 (/.f64 (/.f64 c b) b) (/.f64 #s(literal 1 binary64) a)) b) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
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(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
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(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
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(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
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(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
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(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
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(>= b 0) |
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(>= b 0) |
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(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
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(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
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(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
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(* -1 (/ b a)) |
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(* b (- (/ c (pow b 2)) (/ 1 a))) |
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(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
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(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) a) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
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(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b))) |
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(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 c b)) a) |
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(/ (* a c) b) |
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(/ (* a c) b) |
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(/ (* a c) b) |
(*.f64 (/.f64 c b) a) |
(/ (* a c) b) |
(*.f64 (/.f64 c b) a) |
b |
(+ b (* -2 (/ (* a c) b))) |
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(* -4 (* a c)) |
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(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
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(*.f64 (neg.f64 a) (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 2 binary64) (/.f64 b a)))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal -2 binary64) (/.f64 c b) (*.f64 #s(literal 2 binary64) (/.f64 b a)))) |
(* 2 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal 2 binary64)) |
(* -1 (* a (- (* 2 (/ b (* a c))) (* 2 (/ 1 b))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 b c) (/.f64 #s(literal -2 binary64) b))) |
(* -1 (* a (- (* 2 (/ b (* a c))) (* 2 (/ 1 b))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 b c) (/.f64 #s(literal -2 binary64) b))) |
(* -1 (* a (- (* 2 (/ b (* a c))) (* 2 (/ 1 b))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 b c) (/.f64 #s(literal -2 binary64) b))) |
(* -4 (/ (* a c) b)) |
(*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a) |
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) (/.f64 c b) (/.f64 (neg.f64 b) a))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) (/.f64 c b) (/.f64 (neg.f64 b) a))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) (/.f64 c b) (/.f64 (neg.f64 b) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal -1/4 binary64) (neg.f64 b)) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 a)) b) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal -1/4 binary64) (neg.f64 b)) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 a)) b) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal 1/4 binary64) (neg.f64 b)) (neg.f64 a)))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 b b)) #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)))) (neg.f64 a)) b) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal -1/4 binary64) (neg.f64 b)) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 a)) b) a))) |
(/ (* a c) b) |
(*.f64 (/.f64 c b) a) |
(/ (* a c) b) |
(*.f64 (/.f64 c b) a) |
(/ (* a c) b) |
(*.f64 (/.f64 c b) a) |
(/ (* a c) b) |
(*.f64 (/.f64 c b) a) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal -1/4 binary64) (neg.f64 b)) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 a)) b) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal -1/4 binary64) (neg.f64 b)) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) (neg.f64 a)) b) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 526 |
| 0 | 125 | 527 |
| 1 | 407 | 502 |
| 2 | 2691 | 502 |
| 0 | 8723 | 499 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) |
(>=.f64 b #s(literal 0 binary64)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c) |
(fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) |
(/.f64 (*.f64 c a) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) |
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Compiled 110 989 to 5 488 computations (95.1% saved)
22 alts after pruning (20 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 251 | 14 | 2 265 |
| Fresh | 6 | 6 | 12 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 262 | 22 | 2 284 |
| Status | Accuracy | Program |
|---|---|---|
| 47.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 70.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (neg.f64 b)))) | |
| 65.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) | |
| ✓ | 70.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) |
| 67.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a b) b)) b)))))) | |
| ▶ | 53.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b)))))) |
| 70.8% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) (/.f64 c b) #s(literal 2 binary64)) (neg.f64 b))))) | |
| 47.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 b c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 a b))))) c))))) | |
| 47.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 b c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 b c) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 a b) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 a b) #s(literal 2 binary64)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) #s(literal -1 binary64))) c))))) | |
| 37.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(approx (+ (* (/ b c) -2) (* (/ a b) 2)) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c))))) | |
| ▶ | 59.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) |
| 57.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) | |
| 53.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) | |
| 35.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) | |
| ✓ | 55.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| ▶ | 70.8% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
| 69.8% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) | |
| ▶ | 69.2% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
| 36.3% | (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) | |
| ▶ | 36.3% | (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
| 36.6% | (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 c b)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 70.5% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))) |
Compiled 1 589 to 1 026 computations (35.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b)))) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| cost-diff | 0 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) | |
| cost-diff | 128 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 1176 |
| 0 | 143 | 1172 |
| 1 | 254 | 1135 |
| 2 | 500 | 1135 |
| 3 | 1113 | 1127 |
| 4 | 3545 | 1099 |
| 5 | 6430 | 1099 |
| 0 | 8129 | 1084 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) a) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))) |
#s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(/.f64 c b) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
c |
(/.f64 b a) |
a |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) |
(/.f64 (*.f64 c a) b) |
(*.f64 c a) |
#s(literal -2 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))))) |
(*.f64 #s(literal 2 binary64) c) |
c |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) |
#s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(fma.f64 a (/.f64 c b) (neg.f64 b)) |
(/.f64 c b) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) b) |
#s(literal -2 binary64) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
c |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
(*.f64 b b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b))))) |
(*.f64 #s(literal 2 binary64) c) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b)))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b)) |
(*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b) |
#s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) |
(*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a) |
(*.f64 #s(literal -4 binary64) (/.f64 c b)) |
#s(literal -4 binary64) |
(/.f64 c b) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) a) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))) |
#s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(/.f64 c b) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 c a))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
c |
(/.f64 b a) |
a |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 c a)))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 c a))) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 c a)) |
(/.f64 (*.f64 c a) b) |
(*.f64 (/.f64 c b) a) |
(*.f64 c a) |
#s(literal -2 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) b)) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) c) |
c |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))) |
#s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b)))) |
#s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)) |
(fma.f64 a (/.f64 c b) (neg.f64 b)) |
(fma.f64 (/.f64 c b) a (neg.f64 b)) |
(/.f64 c b) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) b) |
#s(literal -2 binary64) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b)) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
c |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(*.f64 b b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 (/.f64 c b) #s(literal -4 binary64)) a)) b)))))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 c (*.f64 #s(literal -4 binary64) a) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b))))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 (/.f64 c b) #s(literal -4 binary64)) a)) b))))) |
(*.f64 #s(literal 2 binary64) c) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b)))) |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 (/.f64 c b) #s(literal -4 binary64)) a)) b))) b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 (/.f64 c b) #s(literal -4 binary64)) a)) b))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 (/.f64 c b) #s(literal -4 binary64)) a)) b)) |
(*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b) |
(*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 (/.f64 c b) #s(literal -4 binary64)) a)) b) |
#s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) |
#s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 (/.f64 c b) #s(literal -4 binary64)) a)) |
(*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a) |
(*.f64 (*.f64 (/.f64 c b) #s(literal -4 binary64)) a) |
(*.f64 #s(literal -4 binary64) (/.f64 c b)) |
(*.f64 (/.f64 c b) #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 c b) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 14.472839976147396 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 26.504486835583304 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 26.504486835583304 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b))) | |
| accuracy | 43.093548553286176 | #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) | |
| accuracy | 3.632786410798839 | (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) | |
| accuracy | 11.806596657035637 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 26.504486835583304 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 41.05654274232116 | #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) | |
| accuracy | 14.472839976147396 | (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) | |
| accuracy | 17.583816121663524 | #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) | |
| accuracy | 26.504486835583304 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) | |
| accuracy | 40.70244462748065 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) | |
| accuracy | 3.063352387660187 | (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)))) | |
| accuracy | 5.478155131298518 | (/.f64 (*.f64 c a) b) | |
| accuracy | 40.868072501861896 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) | |
| accuracy | 41.131156032509594 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) | |
| accuracy | 3.632786410798839 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) | |
| accuracy | 14.472839976147396 | (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) | |
| accuracy | 26.504486835583304 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) | |
| accuracy | 40.70244462748065 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))) |
| 204.0ms | 83× | 2 | valid |
| 61.0ms | 87× | 0 | valid |
| 61.0ms | 69× | 1 | valid |
| 21.0ms | 17× | 3 | valid |
Compiled 820 to 66 computations (92% saved)
ival-mult: 150.0ms (56% of total)ival-neg: 26.0ms (9.7% of total)adjust: 23.0ms (8.6% of total)ival-add: 21.0ms (7.8% of total)ival-div: 18.0ms (6.7% of total)ival-sub: 12.0ms (4.5% of total)ival-sqrt: 10.0ms (3.7% of total)ival-if: 7.0ms (2.6% of total)ival->=: 1.0ms (0.4% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) (patch (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) #<representation binary64>) () ()) |
#s(alt (>=.f64 b #s(literal 0 binary64)) (patch (>=.f64 b #s(literal 0 binary64)) #<representation bool>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ()) |
#s(alt (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) (patch (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (patch (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (patch (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (patch #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ()) |
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c a) b) (patch (/.f64 (*.f64 c a) b) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)))) (patch (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (patch #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) (patch #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) (patch #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b))) (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) (taylor 0 c) (#s(alt (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) (patch (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) (taylor 0 c) (#s(alt (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) (patch (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) (taylor 0 c) (#s(alt (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) (patch (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) (taylor 0 c) (#s(alt (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) (patch (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) (taylor 0 c) (#s(alt (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) (patch (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) (taylor 0 c) (#s(alt (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) (patch (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) (taylor 0 c) (#s(alt (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) (patch (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) (patch #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) (patch #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) (patch #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (/ (* a c) b)) (taylor -inf a) (#s(alt #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) (patch #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b))))) (taylor -inf a) (#s(alt #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) (patch #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b))))) (taylor -inf a) (#s(alt #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) (patch #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b))))) (taylor -inf a) (#s(alt #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) (patch #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b))) (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b))) (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b))) (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b))) (patch (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | inf | ((* (/ 1/2 a) (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b))))) (if (>= b 0) (* (/ 1/2 a) (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) (/ 1/2 a) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (/ c b) (/ b a)) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (if (>= b 0) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (/ (* 2 c) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* (* -4 a) c) (* b b))) (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* c a) b) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (sqrt (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 4.0ms | a | @ | -inf | ((* (/ 1/2 a) (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b))))) (if (>= b 0) (* (/ 1/2 a) (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) (/ 1/2 a) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (/ c b) (/ b a)) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (if (>= b 0) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (/ (* 2 c) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* (* -4 a) c) (* b b))) (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* c a) b) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (sqrt (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 4.0ms | a | @ | inf | ((* (/ 1/2 a) (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b))))) (if (>= b 0) (* (/ 1/2 a) (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) (/ 1/2 a) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (/ c b) (/ b a)) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (if (>= b 0) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (/ (* 2 c) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* (* -4 a) c) (* b b))) (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* c a) b) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (sqrt (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 3.0ms | c | @ | inf | ((* (/ 1/2 a) (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b))))) (if (>= b 0) (* (/ 1/2 a) (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) (/ 1/2 a) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (/ c b) (/ b a)) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (if (>= b 0) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (/ (* 2 c) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* (* -4 a) c) (* b b))) (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* c a) b) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (sqrt (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 3.0ms | c | @ | -inf | ((* (/ 1/2 a) (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b))))) (if (>= b 0) (* (/ 1/2 a) (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b))))) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (>= b 0) (/ 1/2 a) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (/ c b) (/ b a)) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (if (>= b 0) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (/ (* 2 c) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (* (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ 1/2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (* b b) (* (* 4 a) c)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* (* -4 a) c) (* b b))) (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (* c a) b) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (* b b) (* (* 4 a) c)) (sqrt (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 956 | 24317 |
| 1 | 3133 | 24048 |
| 0 | 8358 | 22947 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1 (/ b a)) |
(- (/ c b) (/ b a)) |
(- (/ c b) (/ b a)) |
(- (/ c b) (/ b a)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -4 (/ (* a c) b))) |
(+ b (* -4 (/ (* a c) b))) |
(+ b (* -4 (/ (* a c) b))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -4 (/ (* a c) b)) |
(* c (+ (* -4 (/ a b)) (/ b c))) |
(* c (+ (* -4 (/ a b)) (/ b c))) |
(* c (+ (* -4 (/ a b)) (/ b c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -4 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -4 (/ (* a c) b)) |
(* -1 (* c (+ (* -1 (/ b c)) (* 4 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 4 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 4 (/ a b))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -4 (/ (* a c) b)) |
(/ (+ (* -4 (* a c)) (pow b 2)) b) |
(/ (+ (* -4 (* a c)) (pow b 2)) b) |
(/ (+ (* -4 (* a c)) (pow b 2)) b) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
b |
(* b (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(>= b 0) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
b |
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 1))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1 (/ b a)) |
(/ (- (/ (* a c) b) b) a) |
(/ (- (/ (* a c) b) b) a) |
(/ (- (/ (* a c) b) b) a) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -4 (/ (* a c) b))) |
(+ b (* -4 (/ (* a c) b))) |
(+ b (* -4 (/ (* a c) b))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -4 (/ (* a c) b)) |
(* a (+ (* -4 (/ c b)) (/ b a))) |
(* a (+ (* -4 (/ c b)) (/ b a))) |
(* a (+ (* -4 (/ c b)) (/ b a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -4 (/ (* a c) b)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 4 (/ c b))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
| Outputs |
|---|
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(- (/ c b) (/ b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(- (/ c b) (/ b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(- (/ c b) (/ b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b)) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) #s(literal -2 binary64)) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(fma.f64 (fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (fma.f64 (neg.f64 a) (*.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) b) (/.f64 #s(literal -1/2 binary64) b)) (fma.f64 (*.f64 #s(literal -1/8 binary64) b) (*.f64 (/.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) a) (/.f64 #s(literal 20 binary64) a)) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
b |
(+ b (* -4 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b) |
(+ b (* -4 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b) |
(+ b (* -4 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)))) c) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))))) c) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
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(* -4 (* a c)) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c)))) c) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c)))) c) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c))) c) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)))) c) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal 2 binary64)) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(fma.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))) c) (fma.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 b a)))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c))) c) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)))) c) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 #s(literal 4 binary64) a)) c) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 #s(literal 4 binary64) a)) c) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (-.f64 (/.f64 (*.f64 b b) c) (*.f64 #s(literal 4 binary64) a)) c) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c))) c) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)))) c) |
(* -4 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64)) |
(* c (+ (* -4 (/ a b)) (/ b c))) |
(*.f64 (fma.f64 (/.f64 a b) #s(literal -4 binary64) (/.f64 b c)) c) |
(* c (+ (* -4 (/ a b)) (/ b c))) |
(*.f64 (fma.f64 (/.f64 a b) #s(literal -4 binary64) (/.f64 b c)) c) |
(* c (+ (* -4 (/ a b)) (/ b c))) |
(*.f64 (fma.f64 (/.f64 a b) #s(literal -4 binary64) (/.f64 b c)) c) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
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(* -4 (/ (* a c) b)) |
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(/ (+ (* -4 (* a c)) (pow b 2)) b) |
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(/ (+ (* -4 (* a c)) (pow b 2)) b) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
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(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
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(* -1 (/ b a)) |
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(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
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(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
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(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
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(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
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(>= b 0) |
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(>= b 0) |
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(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(>= b 0) |
(>=.f64 b #s(literal 0 binary64)) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
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b |
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(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a b) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 c b)) a (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) b) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) b) (/.f64 c b))) a (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64))) (/.f64 c b)) a (neg.f64 b)) a) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a b) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -4 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b) |
(+ b (* -4 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b) |
(+ b (* -4 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -4 binary64) b) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a b) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a b) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (*.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) #s(literal 2 binary64))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))))) |
(/ c b) |
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(*.f64 (neg.f64 a) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 b a) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal 1/4 binary64) (neg.f64 b)) a) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 b b)) #s(literal -1/4 binary64))) (neg.f64 a)) b) a) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 621 |
| 0 | 136 | 618 |
| 1 | 467 | 593 |
| 2 | 3275 | 593 |
| 0 | 9015 | 587 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(>=.f64 b #s(literal 0 binary64)) |
(/.f64 #s(literal 1/2 binary64) a) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(neg.f64 b) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
#s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 #s(literal -4 binary64) (/.f64 c b)) a)) b))) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
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Compiled 86 313 to 5 326 computations (93.8% saved)
27 alts after pruning (24 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 974 | 12 | 1 986 |
| Fresh | 3 | 12 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 981 | 27 | 2 008 |
| Status | Accuracy | Program |
|---|---|---|
| 47.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) | |
| 70.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (neg.f64 b)))) | |
| 53.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (*.f64 (/.f64 c b) #s(literal -4 binary64)) a)) b))) b))) | |
| 65.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) | |
| ✓ | 70.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))))) |
| 67.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) (/.f64 a b) b)) b)))))) | |
| 70.8% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (/ 1 (sqrt (/ 1 (+ (* (* -4 c) a) (* b b)))))) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) (/.f64 c b) #s(literal 2 binary64)) (neg.f64 b))))) | |
| 47.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 b c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 a b))))) c))))) | |
| 47.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 b c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 b c) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 a b) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 a b) #s(literal 2 binary64)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) #s(literal -1 binary64))) c))))) | |
| 37.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(approx (+ (* (/ b c) -2) (* (/ a b) 2)) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c))))) | |
| 59.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) | |
| 59.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)))) | |
| 57.4% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) | |
| 53.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) | |
| 35.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) | |
| 69.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| ✓ | 55.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| ✓ | 70.8% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
| 69.9% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) | |
| 69.4% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) | |
| 49.7% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| 49.8% | (if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) | |
| 24.7% | (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) | |
| 36.4% | (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a))) | |
| 34.9% | (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) | |
| 3.2% | (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) | |
| 70.5% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))) |
Compiled 2 794 to 950 computations (66% saved)
| Inputs |
|---|
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(if (>=.f64 b #s(literal 0 binary64)) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (*.f64 (fma.f64 (pow.f64 (/.f64 b c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 b c) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (/.f64 a b) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 a b) #s(literal 2 binary64)) (*.f64 (/.f64 b c) #s(literal -2 binary64))))) #s(literal -1 binary64))) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 b c) #s(literal 3 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 (/.f64 a b) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64)) #s(literal 2 binary64)) (/.f64 a b))))) c))))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a))) |
4 calls:
| 128.0ms | c |
| 124.0ms | b |
| 14.0ms | a |
| 13.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.5% | 3 | a |
| 91.4% | 3 | b |
| 78.7% | 3 | c |
| 91.5% | 5 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
Compiled 41 to 29 computations (29.3% saved)
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (fma.f64 b #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (/.f64 c b)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 b #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(approx (+ (* (/ b c) -2) (* (/ a b) 2)) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a))) |
1 calls:
| 35.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.4% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a))) |
2 calls:
| 5.0ms | b |
| 5.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.8% | 3 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 84.2% | 4 | b |
Compiled 39 to 23 computations (41% saved)
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.6% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
4 calls:
| 17.0ms | b |
| 5.0ms | c |
| 5.0ms | a |
| 4.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.9% | 1 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 69.9% | 1 | a |
| 69.9% | 1 | c |
| 69.9% | 1 | b |
Compiled 41 to 29 computations (29.3% saved)
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
4 calls:
| 17.0ms | c |
| 4.0ms | a |
| 4.0ms | b |
| 4.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.8% | 1 | b |
| 69.8% | 1 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 69.8% | 1 | a |
| 69.8% | 1 | c |
Compiled 41 to 29 computations (29.3% saved)
Total -42.7b remaining (-217.9%)
Threshold costs -42.7b (-217.9%)
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1 binary64) a)) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) (*.f64 b a))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64))))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
4 calls:
| 3.0ms | b |
| 3.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
| 3.0ms | c |
| 3.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.4% | 1 | a |
| 69.4% | 1 | b |
| 69.4% | 1 | c |
| 69.4% | 1 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) |
Compiled 41 to 29 computations (29.3% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 3.1365900023078447e+134 | 8.552964628553924e+139 |
| 3.0ms | -1.9630928751510264e+154 | -6.224922175143439e+150 |
| 11.0ms | 112× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
Compiled 430 to 276 computations (35.8% saved)
ival-mult: 3.0ms (37.5% of total)ival-div: 1.0ms (12.5% of total)ival-sub: 1.0ms (12.5% of total)ival-sqrt: 1.0ms (12.5% of total)ival-neg: 1.0ms (12.5% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-if: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival->=: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.1365900023078447e+134 | 8.552964628553924e+139 |
| 0.0ms | -1.9630928751510264e+154 | -6.224922175143439e+150 |
Compiled 409 to 276 computations (32.5% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 1.537734348199288e-45 | 1.7519233271919514e-45 |
| 53.0ms | 5.163765579945466e-304 | 2.3759205144616498e-291 |
| 8.0ms | -2.385893334600739e-85 | -1.9025618935855025e-85 |
| 29.0ms | 117× | 0 | invalid |
| 24.0ms | 240× | 0 | valid |
Compiled 986 to 707 computations (28.3% saved)
ival-mult: 27.0ms (63.2% of total)ival-div: 4.0ms (9.4% of total)ival-sub: 3.0ms (7% of total)ival-add: 2.0ms (4.7% of total)ival-if: 2.0ms (4.7% of total)ival-sqrt: 2.0ms (4.7% of total)ival-neg: 2.0ms (4.7% of total)ival->=: 1.0ms (2.3% 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 |
|---|---|---|
| 1.0ms | -2.385893334600739e-85 | -1.9025618935855025e-85 |
Compiled 236 to 161 computations (31.8% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 870 |
| 1 | 157 | 867 |
| 2 | 193 | 867 |
| 3 | 224 | 867 |
| 4 | 246 | 867 |
| 5 | 262 | 867 |
| 6 | 268 | 867 |
| 7 | 271 | 867 |
| 8 | 272 | 867 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) (if (<=.f64 b #s(literal 1500000000000000049262343733807389118480518849539417543268470139388120510348181993316001973441591119025924257176483653367972735951317237760 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a))))) |
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) (if (<=.f64 b #s(literal 1500000000000000049262343733807389118480518849539417543268470139388120510348181993316001973441591119025924257176483653367972735951317237760 binary64)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a))))) |
(if (<=.f64 b #s(literal -8224062725184125/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) (if (<=.f64 b #s(literal 6423899641101167/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) (if (<=.f64 b #s(literal 2490753968601435/1606938044258990275541962092341162602522202993782792835301376 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)))))) |
(if (<=.f64 b #s(literal -8224062725184125/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) (if (<=.f64 b #s(literal 1500000000000000049262343733807389118480518849539417543268470139388120510348181993316001973441591119025924257176483653367972735951317237760 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a))))) |
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) (if (<=.f64 b #s(literal 1500000000000000049262343733807389118480518849539417543268470139388120510348181993316001973441591119025924257176483653367972735951317237760 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c))) b) (*.f64 (neg.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 4 binary64)) c))) b))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a))))) |
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) (if (<=.f64 b #s(literal 1500000000000000049262343733807389118480518849539417543268470139388120510348181993316001973441591119025924257176483653367972735951317237760 binary64)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a))))) |
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) (if (<=.f64 b #s(literal 1500000000000000049262343733807389118480518849539417543268470139388120510348181993316001973441591119025924257176483653367972735951317237760 binary64)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a))))) |
(if (<=.f64 b #s(literal -8224062725184125/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) (if (<=.f64 b #s(literal 6423899641101167/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) (if (<=.f64 b #s(literal 2490753968601435/1606938044258990275541962092341162602522202993782792835301376 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)))))) |
(if (<=.f64 b #s(literal -8224062725184125/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) (if (<=.f64 b #s(literal 6423899641101167/12353653155963782858428671064387042666598916611580939841119467653041402561523153496823753888027168243114445670429492914513538130943957121390808923336226715693451991227817771079374200911992994161452622538969283756626099089564495403968390097390695773702442020050803147555684412513136627351818013153603882218219464583806976 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b))) (if (<=.f64 b #s(literal 2490753968601435/1606938044258990275541962092341162602522202993782792835301376 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b) (*.f64 (neg.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) #s(literal 2 binary64)))))) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #s(approx (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)))))) |
(if (<=.f64 b #s(literal -8224062725184125/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 c b) a (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))))) |
(if (<=.f64 b #s(literal -8224062725184125/34996011596528190789960035633881941845650710894291398982812329702559247987190014771576210832368861184 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))))) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (+ (* (* -4 a) c) (* b b)))) (*.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- -2 (* (* a (/ (/ c b) b)) -2)) b) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 #s(approx (sqrt (+ (* (* -4 c) a) (* b b))) (neg.f64 b)) b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1145 | 16035 |
| 1 | 3733 | 15840 |
| 0 | 8162 | 15138 |
| 0 | 956 | 24317 |
| 1 | 3133 | 24048 |
| 0 | 8358 | 22947 |
| 0 | 740 | 18482 |
| 1 | 2352 | 18344 |
| 2 | 7602 | 18313 |
| 0 | 8042 | 17444 |
| 0 | 77 | 526 |
| 0 | 125 | 527 |
| 1 | 407 | 502 |
| 2 | 2691 | 502 |
| 0 | 8723 | 499 |
| 0 | 650 | 4075 |
| 1 | 2083 | 4039 |
| 2 | 6819 | 3997 |
| 0 | 8155 | 3811 |
| 0 | 57 | 311 |
| 0 | 95 | 311 |
| 1 | 336 | 289 |
| 2 | 2768 | 289 |
| 0 | 8250 | 286 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 769 to 942 computations (46.7% saved)
Compiled 954 to 230 computations (75.9% saved)
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