
Time bar (total: 6.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 98.8% | 1.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 98.8% | 1.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 98.8% | 1.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 98.8% | 1.2% | 0% | 0% | 0% | 3 |
| 12.5% | 12.4% | 86.5% | 1.2% | 0% | 0% | 0% | 4 |
| 25% | 24.7% | 74.1% | 1.2% | 0% | 0% | 0% | 5 |
| 34.4% | 34% | 64.9% | 1.2% | 0% | 0% | 0% | 6 |
| 40% | 37.1% | 55.6% | 1.2% | 0% | 6.2% | 0% | 7 |
| 47.5% | 44% | 48.6% | 1.2% | 0% | 6.2% | 0% | 8 |
| 54.7% | 49.4% | 40.9% | 1.2% | 0% | 8.5% | 0% | 9 |
| 61% | 52.3% | 33.4% | 1.2% | 0% | 13.1% | 0% | 10 |
| 67.4% | 57.2% | 27.7% | 1.2% | 0% | 13.9% | 0% | 11 |
| 72.5% | 59.9% | 22.7% | 1.2% | 0% | 16.2% | 0% | 12 |
Compiled 40 to 22 computations (45% saved)
| 1.2s | 8 256× | 0 | valid |
| 123.0ms | 944× | 0 | invalid |
ival-mult: 301.0ms (31.1% of total)ival-div: 201.0ms (20.7% of total)ival-sqrt: 88.0ms (9.1% of total)ival-sub: 87.0ms (9% of total)ival-neg: 87.0ms (9% of total)ival-if: 81.0ms (8.4% of total)ival-add: 70.0ms (7.2% of total)ival->=: 31.0ms (3.2% of total)exact: 13.0ms (1.3% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 113 | 0 | - | 5 | (5.5626307326109264e-30 1.560478795223979e-36 -4.182852510844668e-16) | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
| 61 | 2 | (3.627787017867483e-34 3416919214391296.0 77813.5703125) | 1 | (-87666166616555520.0 1.812867935768736e-6 1.9711726060605542e-31) | (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
| 60 | 3 | (4.11379052166355e-21 -42.22603988647461 8.707417641748216e-23) | 0 | - | (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
| 19 | 0 | - | 6 | (-1.131707542805337e-19 -1.2529488243216762e+35 914494976.0) | (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) |
| 13 | 0 | - | 0 | - | (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))))) |
| 4 | 0 | - | 0 | - | (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) |
| 2 | 0 | - | 0 | - | (*.f32 (*.f32 #s(literal 4 binary32) a) c) |
| 0 | 0 | - | 0 | - | #s(literal 0 binary32) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 2 binary32) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary32) |
| 0 | 0 | - | 0 | - | (*.f32 b b) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (neg.f32 b) |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 2 binary32) c) |
| 0 | 0 | - | 0 | - | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 4 binary32) a) |
| 0 | 0 | - | 0 | - | (>=.f32 b #s(literal 0 binary32)) |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 2 binary32) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f32 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) | oflow-rescue | 105 | 0 |
| ↳ | (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) | overflow | 105 | |
| ↳ | (*.f32 (*.f32 #s(literal 4 binary32) a) c) | overflow | 25 | |
| ↳ | (*.f32 b b) | overflow | 90 | |
| ↳ | (*.f32 #s(literal 4 binary32) a) | overflow | 3 | |
-.f32 | (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) | cancellation | 63 | 0 |
+.f32 | (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) | cancellation | 62 | 1 |
/.f32 | (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) | u/n | 11 | 0 |
| ↳ | (*.f32 b b) | underflow | 31 | |
| ↳ | (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) | underflow | 17 | |
| ↳ | (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) | underflow | 3 | |
| ↳ | (*.f32 (*.f32 #s(literal 4 binary32) a) c) | underflow | 25 | |
/.f32 | (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))))) | n/u | 10 | 0 |
| ↳ | (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) | underflow | 22 | |
| ↳ | (*.f32 b b) | underflow | 31 | |
| ↳ | (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) | underflow | 3 | |
| ↳ | (*.f32 (*.f32 #s(literal 4 binary32) a) c) | underflow | 25 | |
-.f32 | (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) | nan-rescue | 4 | 0 |
| ↳ | (*.f32 b b) | overflow | 90 | |
| ↳ | (*.f32 (*.f32 #s(literal 4 binary32) a) c) | overflow | 25 | |
| ↳ | (*.f32 #s(literal 4 binary32) a) | overflow | 3 | |
sqrt.f32 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) | uflow-rescue | 3 | 0 |
| ↳ | (*.f32 b b) | underflow | 31 | |
| ↳ | (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) | underflow | 3 | |
| ↳ | (*.f32 (*.f32 #s(literal 4 binary32) a) c) | underflow | 25 | |
/.f32 | (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))))) | o/n | 2 | 0 |
| ↳ | (*.f32 #s(literal 2 binary32) c) | overflow | 2 | |
*.f32 | (*.f32 (*.f32 #s(literal 4 binary32) a) c) | n*o | 2 | 0 |
/.f32 | (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) | n/o | 2 | 0 |
| ↳ | (*.f32 #s(literal 2 binary32) a) | overflow | 2 | |
/.f32 | (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))))) | n/o | 1 | 0 |
| ↳ | (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) | overflow | 2 | |
| ↳ | (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) | overflow | 105 | |
| ↳ | (*.f32 (*.f32 #s(literal 4 binary32) a) c) | overflow | 25 | |
| ↳ | (*.f32 b b) | overflow | 90 | |
| ↳ | (*.f32 #s(literal 4 binary32) a) | overflow | 3 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 81 | 4 |
| - | 101 | 70 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 81 | 0 | 4 |
| - | 101 | 1 | 69 |
| number | freq |
|---|---|
| 0 | 74 |
| 1 | 104 |
| 2 | 74 |
| 3 | 3 |
| 4 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 111.0ms | 222× | 0 | valid |
| 60.0ms | 290× | 1 | valid |
Compiled 332 to 64 computations (80.7% saved)
ival-div: 37.0ms (42.4% of total)ival-mult: 14.0ms (16% of total)adjust: 9.0ms (10.3% of total)ival-sub: 8.0ms (9.2% of total)ival-sqrt: 6.0ms (6.9% of total)ival-add: 4.0ms (4.6% of total)ival-if: 4.0ms (4.6% of total)ival->=: 2.0ms (2.3% of total)ival-neg: 2.0ms (2.3% of total)exact: 1.0ms (1.1% 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 | 75 | 233 |
| 1 | 199 | 227 |
| 2 | 475 | 227 |
| 3 | 804 | 227 |
| 4 | 1081 | 227 |
| 5 | 1323 | 227 |
| 6 | 1551 | 227 |
| 7 | 1653 | 227 |
| 0 | 20 | 38 |
| 0 | 33 | 38 |
| 1 | 57 | 38 |
| 2 | 113 | 38 |
| 3 | 203 | 38 |
| 4 | 302 | 38 |
| 5 | 382 | 38 |
| 6 | 422 | 38 |
| 7 | 472 | 38 |
| 8 | 514 | 38 |
| 0 | 514 | 38 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
| Outputs |
|---|
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)))) |
Compiled 38 to 20 computations (47.4% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.6% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) 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 | (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) | |
| cost-diff | 0 | (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) | |
| cost-diff | 0 | (>=.f32 b #s(literal 0 binary32)) | |
| cost-diff | 0 | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 145 |
| 0 | 33 | 145 |
| 1 | 57 | 145 |
| 2 | 113 | 145 |
| 3 | 203 | 145 |
| 4 | 302 | 145 |
| 5 | 382 | 145 |
| 6 | 422 | 145 |
| 7 | 472 | 145 |
| 8 | 514 | 145 |
| 0 | 514 | 145 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) |
(-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(neg.f32 b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) |
(*.f32 b b) |
(*.f32 (*.f32 #s(literal 4 binary32) a) c) |
(*.f32 #s(literal 4 binary32) a) |
#s(literal 4 binary32) |
a |
c |
(*.f32 #s(literal 2 binary32) a) |
#s(literal 2 binary32) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))))) |
(*.f32 #s(literal 2 binary32) c) |
(+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
| Outputs |
|---|
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) |
(/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) (*.f32 #s(literal 2 binary32) a)) |
(-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) |
(neg.f32 b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) |
(-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) |
(*.f32 b b) |
(*.f32 (*.f32 #s(literal 4 binary32) a) c) |
(*.f32 c (*.f32 a #s(literal 4 binary32))) |
(*.f32 #s(literal 4 binary32) a) |
(*.f32 a #s(literal 4 binary32)) |
#s(literal 4 binary32) |
a |
c |
(*.f32 #s(literal 2 binary32) a) |
#s(literal 2 binary32) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))))) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))) |
(*.f32 #s(literal 2 binary32) c) |
(+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.8626460181197755 | (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) | |
| accuracy | 6.139450719906899 | (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) | |
| accuracy | 6.218133280785128 | (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
| 50.0ms | 145× | 1 | valid |
| 13.0ms | 111× | 0 | valid |
Compiled 147 to 22 computations (85% saved)
ival-mult: 27.0ms (53.6% of total)adjust: 5.0ms (9.9% of total)ival-div: 5.0ms (9.9% of total)ival-sub: 4.0ms (7.9% of total)ival-sqrt: 3.0ms (6% of total)ival-add: 2.0ms (4% of total)ival-if: 2.0ms (4% of total)ival->=: 1.0ms (2% of total)ival-neg: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(>=.f32 b #s(literal 0 binary32)) |
(/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) |
(-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
(+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
| Outputs |
|---|
(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)) |
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)))))))) |
(* -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))))) |
(* (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)))))) |
(* 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))) |
(* 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 (+ (* 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)))))))) |
(* -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)))))) |
(>= b 0) |
(+ (* -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 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 (/ 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) (* (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 (- (/ 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))) |
(* 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))))))) |
(* 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)) (* -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) |
(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 (/ (- (* 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 (* -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 (+ 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 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)))) |
(- (* 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)) |
(+ 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)))))))) |
(* 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)))))))) |
(* 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 (- (* -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))))) |
(* 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)))))) |
(* 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 (* 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))))) |
(* -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 (* 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 (* 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)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | a | @ | -inf | ((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) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg 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 | ((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) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 3.0ms | a | @ | inf | ((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) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 3.0ms | 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)))))) (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 3.0ms | b | @ | inf | ((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) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (- (neg 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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 642 | 3556 |
| 1 | 2146 | 3531 |
| 0 | 8452 | 3531 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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)) |
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)))))))) |
(* -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))))) |
(* (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)))))) |
(* 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))) |
(* 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 (+ (* 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)))))))) |
(* -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)))))) |
(>= b 0) |
(+ (* -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 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 (/ 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) (* (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 (- (/ 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))) |
(* 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))))))) |
(* 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)) (* -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) |
(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 (/ (- (* 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 (* -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 (+ 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 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)))) |
(- (* 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)) |
(+ 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)))))))) |
(* 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)))))))) |
(* 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 (- (* -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))))) |
(* 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)))))) |
(* 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 (* 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))))) |
(* -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 (* 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 (* 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)))))) |
| Outputs |
|---|
(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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(* -1 (/ b a)) |
(/.f32 (neg.f32 b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f32 (-.f32 (/.f32 (*.f32 c a) b) b) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f32 (-.f32 (*.f32 (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 c c) b) (/.f32 a b)) c) b) a) b) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(*.f32 #s(literal -2 binary32) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f32 #s(literal 2 binary32) (-.f32 (/.f32 (*.f32 c a) b) b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(-.f32 (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 c c) b) (/.f32 a b)) c) b)) a) (*.f32 #s(literal 2 binary32) b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(-.f32 b (*.f32 (/.f32 (*.f32 c a) b) #s(literal 2 binary32))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f32 (*.f32 (*.f32 a #s(literal -2 binary32)) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 c c) b) (/.f32 a b)) c) b)) b) |
(+ 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)) |
(*.f32 (*.f32 (/.f32 a b) #s(literal -2 binary32)) c) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f32 (*.f32 a #s(literal -2 binary32)) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 c c) b) (/.f32 a b)) c) b)) |
(* 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)))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -4 binary32))) (sqrt.f32 (/.f32 c a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) (/.f32 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)))))) |
(+.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 b (/.f32 b (sqrt.f32 #s(literal -4 binary32))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 a a) a)))) (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) (/.f32 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))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f32 (neg.f32 (sqrt.f32 #s(literal -4 binary32))) (sqrt.f32 (*.f32 c a))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f32 (-.f32 (/.f32 (neg.f32 b) a) (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a)))) a) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 b (/.f32 b (sqrt.f32 #s(literal -4 binary32))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 a a) a)))) (+.f32 (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) (/.f32 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))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f32 (sqrt.f32 (*.f32 c a)) (sqrt.f32 #s(literal -4 binary32))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f32 (-.f32 (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 b (/.f32 b (sqrt.f32 #s(literal -4 binary32))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 a a) 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))))) |
(* 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)))))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f32 (+.f32 (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) (/.f32 (neg.f32 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f32 (-.f32 (-.f32 (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 b (/.f32 b (sqrt.f32 #s(literal -4 binary32))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 a a) a))))) (/.f32 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))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 c a))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 c a))) (*.f32 #s(literal 1/2 binary32) (/.f32 b a))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+.f32 (/.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a))) (*.f32 b b)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/8 binary32))) (*.f32 #s(literal -1/2 binary32) b)) (neg.f32 a)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 c 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))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 c a))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f32 (neg.f32 a) (-.f32 (/.f32 b a) (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 c a))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
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(* -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 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 c c) c) a))) (*.f32 b b)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/4 binary32))) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 a c))))) |
(* -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 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f32 (neg.f32 c) (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 a c))) (/.f32 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a))) (*.f32 b b)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/4 binary32))) b) (neg.f32 c)) (*.f32 (*.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 a c))))) |
(* -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)))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 94 |
| 0 | 33 | 94 |
| 1 | 95 | 94 |
| 2 | 607 | 91 |
| 3 | 7721 | 91 |
| 0 | 8459 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(>=.f32 b #s(literal 0 binary32)) |
(/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) |
(-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
(+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
| Outputs |
|---|
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) |
(>=.f32 b #s(literal 0 binary32)) |
(*.f32 (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) #s(literal 0 binary32)) #s(literal 0 binary32)) |
(*.f32 (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 a a) a))) (+.f32 #s(literal 0 binary32) (*.f32 a a))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal 0 binary32)) #s(literal 0 binary32)) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 a a) a))) (+.f32 #s(literal 0 binary32) (*.f32 a a))) |
(*.f32 (/.f32 (-.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)) (-.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b))) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c))) |
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (*.f32 (*.f32 b b) b))) (neg.f32 a)) (/.f32 (+.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)) #s(literal 2 binary32))) |
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (*.f32 (*.f32 b b) b))) #s(literal -2 binary32)) (/.f32 (+.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)) a)) |
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (*.f32 (*.f32 b b) b))) #s(literal 2 binary32)) (/.f32 (+.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)) a)) |
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (*.f32 (*.f32 b b) b))) #s(literal 2 binary32)) (/.f32 (+.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)) (neg.f32 a))) |
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (*.f32 (*.f32 b b) b))) a) (/.f32 (+.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)) #s(literal 2 binary32))) |
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (*.f32 (*.f32 b b) b))) a) (/.f32 (+.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)) #s(literal -2 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 a)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal -2 binary32))) |
(*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (neg.f32 a))) |
(*.f32 (/.f32 #s(literal 1 binary32) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal 2 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal -2 binary32))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c))) |
(*.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (*.f32 (*.f32 b b) b))) (/.f32 (+.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)) (*.f32 #s(literal -2 binary32) c))) |
(*.f32 #s(literal 1 binary32) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c))) |
(*.f32 (-.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) (*.f32 (-.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)) (*.f32 #s(literal -2 binary32) c)))) |
(*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (/.f32 (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) (*.f32 (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)) #s(literal 2 binary32)) a))) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) (neg.f32 a))) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (neg.f32 a))) |
(*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) (*.f32 (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)) #s(literal 2 binary32)) a))) |
(/.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) a) #s(literal -2 binary32)) |
(/.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) a) #s(literal 2 binary32)) |
(/.f32 (+.f32 (*.f32 (/.f32 (*.f32 b b) (*.f32 #s(literal -2 binary32) c)) (/.f32 b (*.f32 #s(literal -2 binary32) c))) (*.f32 (/.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 #s(literal -2 binary32) c)) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (*.f32 #s(literal -2 binary32) c)))) (+.f32 (-.f32 (/.f32 (*.f32 b b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 #s(literal -2 binary32) c))) (/.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)))) |
(/.f32 (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) (neg.f32 a)) #s(literal 2 binary32)) |
(/.f32 (+.f32 (/.f32 (neg.f32 b) a) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) a)) #s(literal 2 binary32)) |
(/.f32 (+.f32 (/.f32 b #s(literal -2 binary32)) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32))) a) |
(/.f32 (neg.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (neg.f32 a))) #s(literal -2 binary32)) |
(/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 b b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 #s(literal -2 binary32) c)))) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (/.f32 (*.f32 b b) (*.f32 #s(literal -2 binary32) c)) (/.f32 b (*.f32 #s(literal -2 binary32) c))) (*.f32 (/.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 #s(literal -2 binary32) c)) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (*.f32 #s(literal -2 binary32) c))))) (neg.f32 (+.f32 (-.f32 (/.f32 (*.f32 b b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 #s(literal -2 binary32) c))) (/.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (neg.f32 b) #s(literal 2 binary32)) a) (*.f32 (*.f32 #s(literal -2 binary32) c) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) (*.f32 #s(literal -2 binary32) c)) |
(/.f32 (-.f32 (*.f32 (/.f32 (neg.f32 b) a) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) a))) #s(literal 4 binary32)) |
(/.f32 (-.f32 (*.f32 (/.f32 (neg.f32 b) a) a) (*.f32 #s(literal 2 binary32) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 #s(literal -2 binary32) c)) |
(/.f32 (-.f32 (*.f32 (/.f32 (neg.f32 b) a) (*.f32 #s(literal -2 binary32) c)) (*.f32 #s(literal 2 binary32) (neg.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) c))) |
(/.f32 (-.f32 (*.f32 (/.f32 (neg.f32 b) a) (*.f32 #s(literal -2 binary32) c)) (*.f32 #s(literal 2 binary32) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) c))) |
(/.f32 (-.f32 (*.f32 (/.f32 b #s(literal -2 binary32)) #s(literal 2 binary32)) (*.f32 a (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) a))) (*.f32 #s(literal -2 binary32) c)) |
(/.f32 (-.f32 (*.f32 (/.f32 b #s(literal -2 binary32)) a) (*.f32 a (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 a a)) |
(/.f32 (-.f32 (*.f32 (/.f32 b #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) c)) (*.f32 a (neg.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) (*.f32 a (*.f32 #s(literal -2 binary32) c))) |
(/.f32 (-.f32 (*.f32 (/.f32 b #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) c)) (*.f32 a (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) (*.f32 a (*.f32 #s(literal -2 binary32) c))) |
(/.f32 (-.f32 (*.f32 b #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) a))) (*.f32 (*.f32 #s(literal -2 binary32) c) #s(literal 2 binary32))) |
(/.f32 (-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) c) a)) |
(/.f32 (-.f32 (*.f32 b (*.f32 #s(literal -2 binary32) c)) (*.f32 (*.f32 #s(literal -2 binary32) c) (neg.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) (*.f32 #s(literal -2 binary32) c)) |
(/.f32 (-.f32 (*.f32 b (*.f32 #s(literal -2 binary32) c)) (*.f32 (*.f32 #s(literal -2 binary32) c) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) (*.f32 #s(literal -2 binary32) c)) |
(/.f32 (-.f32 (*.f32 (neg.f32 b) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) a))) (*.f32 (*.f32 #s(literal -2 binary32) c) #s(literal 2 binary32))) |
(/.f32 (-.f32 (*.f32 (neg.f32 b) a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) c) a)) |
(/.f32 (-.f32 (*.f32 (*.f32 (neg.f32 b) #s(literal 2 binary32)) a) (*.f32 (*.f32 #s(literal -2 binary32) c) (neg.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) (*.f32 #s(literal -2 binary32) c)) |
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(+.f32 (*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) (*.f32 #s(literal 1 binary32) (neg.f32 b))) |
(+.f32 (*.f32 #s(literal 1 binary32) (neg.f32 b)) (*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) |
(+.f32 (*.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b))) (*.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)))) |
(+.f32 (*.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b))) (*.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) (*.f32 b b))) |
(+.f32 (*.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) (*.f32 b b)) (*.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)))) |
(+.f32 (neg.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) (neg.f32 b)) |
(+.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (+.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b))) (/.f32 (*.f32 (*.f32 b b) b) (+.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)))) |
(+.f32 (/.f32 (*.f32 (*.f32 b b) b) (+.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b))) (/.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (+.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)))) |
(+.f32 (/.f32 (*.f32 (neg.f32 b) b) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)) (/.f32 (neg.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)) |
(+.f32 (neg.f32 b) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) |
(+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) |
(neg.f32 (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) |
Compiled 25 340 to 1 627 computations (93.6% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 334 | 17 | 351 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 335 | 17 | 352 |
| Status | Accuracy | Program |
|---|---|---|
| 49.2% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) | |
| 70.3% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 (neg.f32 b) a) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) a))) #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) | |
| 47.6% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (*.f32 (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)) #s(literal 2 binary32)) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) | |
| ▶ | 52.1% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) c) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
| 50.6% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 b #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) a))) (*.f32 (*.f32 #s(literal -2 binary32) c) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) | |
| 70.4% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (*.f32 (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) | |
| ▶ | 49.7% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))))) |
| 44.7% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (/.f32 (*.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b))) (*.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)))))) | |
| 70.5% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (*.f32 (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))))) | |
| 69.8% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f32 b))))) | |
| 63.6% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (*.f32 (+.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)) (+.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)))))) | |
| 69.9% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b))))) | |
| ▶ | 39.9% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) |
| 68.2% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 #s(literal -2 binary32) b)) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) | |
| ▶ | 70.5% | (if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal -2 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
| 69.1% | (if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f32 (/.f32 c b) (/.f32 (neg.f32 b) a))) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) | |
| ▶ | 71.0% | #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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
Compiled 1 802 to 958 computations (46.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (>=.f32 b #s(literal 0 binary32)) | |
| cost-diff | 0 | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))))) | |
| cost-diff | 1 | (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) | |
| cost-diff | 6 | (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) | |
| cost-diff | 0 | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) c) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) | |
| cost-diff | 1 | (-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) | |
| cost-diff | 3 | (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32))) | |
| cost-diff | 4 | (/.f32 (-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) c) a)) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) a) | |
| cost-diff | 0 | (>=.f32 b #s(literal 0 binary32)) | |
| cost-diff | 0 | (if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal -2 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) | |
| cost-diff | 2 | (*.f32 (/.f32 #s(literal 1 binary32) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal -2 binary32))) | |
| cost-diff | 0 | (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) | |
| cost-diff | 0 | (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) | |
| cost-diff | 0 | (>=.f32 b #s(literal 0 binary32)) | |
| cost-diff | 0 | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) | |
| cost-diff | 0 | (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) | |
| cost-diff | 0 | (>=.f32 b #s(literal 0 binary32)) | |
| cost-diff | 0 | (if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) | |
| cost-diff | 0 | #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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 1021 |
| 0 | 119 | 1018 |
| 1 | 216 | 1016 |
| 2 | 494 | 1004 |
| 3 | 1558 | 967 |
| 4 | 6621 | 967 |
| 0 | 8289 | 967 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(*.f32 b b) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 c a) |
c |
a |
#s(literal 4 binary32) |
#s(literal -1/2 binary32) |
(/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(*.f32 c #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
(-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) |
(*.f32 b b) |
(*.f32 c (*.f32 a #s(literal 4 binary32))) |
c |
(*.f32 a #s(literal 4 binary32)) |
a |
#s(literal 4 binary32) |
(*.f32 #s(literal -2 binary32) c) |
#s(literal -2 binary32) |
(/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) |
(-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal -2 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(*.f32 (/.f32 #s(literal 1 binary32) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal -2 binary32))) |
(/.f32 #s(literal 1 binary32) a) |
#s(literal 1 binary32) |
a |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal -2 binary32)) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
(-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) |
(*.f32 b b) |
(*.f32 c (*.f32 a #s(literal 4 binary32))) |
c |
(*.f32 a #s(literal 4 binary32)) |
#s(literal 4 binary32) |
#s(literal -2 binary32) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))))) |
(*.f32 #s(literal 2 binary32) c) |
#s(literal 2 binary32) |
(+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(neg.f32 b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) |
(*.f32 (*.f32 #s(literal 4 binary32) a) c) |
(*.f32 #s(literal 4 binary32) a) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) c) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(/.f32 (-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) c) a)) |
(-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) |
(*.f32 b a) |
a |
(*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32))) |
(*.f32 #s(literal -2 binary32) c) |
#s(literal -2 binary32) |
c |
(/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
(-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) |
(*.f32 b b) |
(*.f32 c (*.f32 a #s(literal 4 binary32))) |
(*.f32 a #s(literal 4 binary32)) |
#s(literal 4 binary32) |
#s(literal 2 binary32) |
(*.f32 (*.f32 #s(literal -2 binary32) c) a) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))))) |
(*.f32 #s(literal 2 binary32) c) |
(+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(neg.f32 b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) |
(*.f32 (*.f32 #s(literal 4 binary32) a) c) |
(*.f32 #s(literal 4 binary32) a) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) |
(-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(neg.f32 b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) |
(*.f32 b b) |
(*.f32 (*.f32 #s(literal 4 binary32) a) c) |
(*.f32 #s(literal 4 binary32) a) |
#s(literal 4 binary32) |
a |
c |
(*.f32 #s(literal 2 binary32) a) |
#s(literal 2 binary32) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)))) |
(*.f32 #s(literal 2 binary32) c) |
(/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))) |
(-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) |
(-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) |
(*.f32 c (*.f32 a #s(literal 4 binary32))) |
(*.f32 a #s(literal 4 binary32)) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
| Outputs |
|---|
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) |
(*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(*.f32 b b) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 c a) |
c |
a |
#s(literal 4 binary32) |
#s(literal -1/2 binary32) |
(/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(*.f32 c #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) c) |
#s(literal 2 binary32) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) |
(*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) c)) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(*.f32 b b) |
(*.f32 c (*.f32 a #s(literal 4 binary32))) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
c |
(*.f32 a #s(literal 4 binary32)) |
a |
#s(literal 4 binary32) |
(*.f32 #s(literal -2 binary32) c) |
#s(literal -2 binary32) |
(/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) |
(/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))) |
(-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) |
(-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal -2 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(*.f32 (/.f32 #s(literal 1 binary32) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal -2 binary32))) |
(*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(/.f32 #s(literal 1 binary32) a) |
#s(literal 1 binary32) |
a |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal -2 binary32)) |
(*.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(*.f32 b b) |
(*.f32 c (*.f32 a #s(literal 4 binary32))) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
c |
(*.f32 a #s(literal 4 binary32)) |
#s(literal 4 binary32) |
#s(literal -2 binary32) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))))) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))) |
(*.f32 #s(literal 2 binary32) c) |
#s(literal 2 binary32) |
(+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) |
(neg.f32 b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(*.f32 (*.f32 #s(literal 4 binary32) a) c) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 #s(literal 4 binary32) a) |
(*.f32 a #s(literal 4 binary32)) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) c) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (/.f32 b c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) a)) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(/.f32 (-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) c) a)) |
(/.f32 (+.f32 (/.f32 b c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) a)) #s(literal -2 binary32)) |
(-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) |
(+.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) c) (*.f32 a b)) |
(*.f32 b a) |
(*.f32 a b) |
a |
(*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32))) |
(*.f32 (neg.f32 c) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) |
(*.f32 #s(literal -2 binary32) c) |
#s(literal -2 binary32) |
c |
(/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)) |
(/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) #s(literal 2 binary32)) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(*.f32 b b) |
(*.f32 c (*.f32 a #s(literal 4 binary32))) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 a #s(literal 4 binary32)) |
#s(literal 4 binary32) |
#s(literal 2 binary32) |
(*.f32 (*.f32 #s(literal -2 binary32) c) a) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))))) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))) |
(*.f32 #s(literal 2 binary32) c) |
(+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) |
(neg.f32 b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(*.f32 (*.f32 #s(literal 4 binary32) a) c) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 #s(literal 4 binary32) a) |
(*.f32 a #s(literal 4 binary32)) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (*.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) |
(*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) |
(neg.f32 b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(*.f32 b b) |
(*.f32 (*.f32 #s(literal 4 binary32) a) c) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 #s(literal 4 binary32) a) |
(*.f32 a #s(literal 4 binary32)) |
#s(literal 4 binary32) |
a |
c |
(*.f32 #s(literal 2 binary32) a) |
#s(literal 2 binary32) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)))) |
(*.f32 (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) |
(*.f32 #s(literal 2 binary32) c) |
(/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))) |
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) |
(-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) |
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(*.f32 c (*.f32 a #s(literal 4 binary32))) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 a #s(literal 4 binary32)) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.229968043685504 | (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) | |
| accuracy | 16.790486788530508 | (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) | |
| accuracy | 6.218133280785128 | (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) | |
| accuracy | 7.983006879307628 | (/.f32 (-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) c) a)) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) | |
| accuracy | 6.139450719906899 | (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) | |
| accuracy | 6.218133280785128 | (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) | |
| accuracy | 1.5646697628752342 | (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) | |
| accuracy | 6.139450719906899 | (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) | |
| accuracy | 6.218133280785128 | (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) | |
| accuracy | 1.6410792113524582 | (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) | |
| accuracy | 6.139450719906899 | (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) | |
| accuracy | 6.218133280785128 | (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
| 107.0ms | 145× | 1 | valid |
| 81.0ms | 111× | 0 | valid |
Compiled 986 to 62 computations (93.7% saved)
ival-mult: 64.0ms (43% of total)ival-div: 26.0ms (17.5% of total)ival-sub: 16.0ms (10.8% of total)adjust: 15.0ms (10.1% of total)ival-sqrt: 10.0ms (6.7% of total)ival-if: 9.0ms (6.1% of total)ival-add: 5.0ms (3.4% 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(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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(>=.f32 b #s(literal 0 binary32)) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) |
(*.f32 (/.f32 #s(literal 1 binary32) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal -2 binary32))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal -2 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(/.f32 #s(literal 1 binary32) a) |
(/.f32 (-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) c) a)) |
(*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32))) |
(-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) c) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) |
(/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
(-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) |
(/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
(+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))) |
| Outputs |
|---|
(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) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) c)) (* -2 (/ c (- b (sqrt (- (pow b 2) (* 4 (* a c)))))))) |
(* -1 (/ b c)) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (* a (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b c)) (* a (+ (* a (+ (* 2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b)))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(/ 1 a) |
(* -1/2 (/ b a)) |
(/ (+ (* -1/2 b) (* -1/2 (* a (- (/ b c) (* 2 (/ c b)))))) a) |
(/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (/ b c) (* 2 (/ c b)))) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (/ b c) (* 2 (/ c b)))) (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3))))))) a) |
(* -1 (* b c)) |
(+ (* -1 (* b c)) (* 2 (/ (* a (pow c 2)) b))) |
(+ (* -1 (* b c)) (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 3))) (* 2 (/ (pow c 2) b))))) |
(+ (* -1 (* b c)) (* a (+ (* 2 (/ (pow c 2) b)) (* a (+ (* 2 (/ (pow c 3) (pow b 3))) (* 4 (/ (* a (pow c 4)) (pow b 5)))))))) |
(* b c) |
(- (* a (- b (* 2 (/ (pow c 2) b)))) (* -1 (* b c))) |
(- (* a (- (+ b (* -2 (/ (* a (pow c 3)) (pow b 3)))) (* 2 (/ (pow c 2) b)))) (* -1 (* b c))) |
(- (* a (- (+ b (* a (- (* -4 (/ (* a (pow c 4)) (pow b 5))) (* 2 (/ (pow c 3) (pow b 3)))))) (* 2 (/ (pow c 2) b)))) (* -1 (* b c))) |
(if (>= b 0) (* -1/2 (/ (- (* a b) (* -1 (* c (sqrt (- (pow b 2) (* 4 (* a c))))))) (* a c))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -4 (* a c)) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a))) |
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 a)) |
(/ (+ (* -2 (/ (* a c) b)) (* 2 b)) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) 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) (* a (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* 4 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))) |
(* -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))))))) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -4))) |
(* a (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* a (+ (* -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))))))) |
(* a (+ (* -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)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* 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 (/ (- b (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4)))) c)) |
(+ (* -1/2 (/ (- b (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4)))) c)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))) |
(+ (* -1/2 (/ (- b (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4)))) c)) (+ (* -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 (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4)))) c)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a (pow c 3))) (sqrt -4))) |
(* a (+ (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))) (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))))) |
(* a (+ (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* a (+ (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* a (- b (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))))) |
(* a (- (+ b (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))) (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))))) |
(* a (- (+ b (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b 4) (pow (sqrt -4) 3))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))) (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))))) |
(* a (- (+ b (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (pow b 6) (pow (sqrt -4) 5))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* 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)))))) |
(* 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 -4)) |
(+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b 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 (- (/ 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))))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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 (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) a) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -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))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 4 (/ (+ (* -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)))))) |
(* (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))) |
(* (sqrt (/ a c)) (sqrt -1)) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b c)) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1))))) a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 (/ b c))) a))))) |
(* -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 (/ (- (* -1 b) (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))) c)) |
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ (- (* -1 b) (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))) c))) |
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ (- (* -1 b) (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))) c)))) |
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ (- (* -1 b) (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))) c))))) |
(* 2 (* (sqrt (* a (pow c 3))) (sqrt -1))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (* (pow b 6) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))))))) |
(* -1 (* a (- (* -1 b) (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))))) |
(* -1 (* a (- (+ (* -1 b) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))))) |
(* -1 (* a (- (+ (* -1 b) (* -1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))))))) |
(* -1 (* a (- (+ (* -1 b) (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (* (pow b 6) (sqrt -1))))) (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (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)))))))) |
(* -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 (/ c a)) (sqrt -1))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) a))) |
(* 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 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(+ (* -1 b) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 4 (/ (+ (* -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 b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -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))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a))) a)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(>= b 0) |
(+ (* -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))))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* 1/2 (/ 1 c))))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 c))))) |
(+ 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))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b c))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 c))))) |
(+ (* -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 c))))) |
(+ (* -1 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -1/2 (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4))))) |
(+ (* -1 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* (pow b 2) (+ (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(+ (* -1 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* (pow b 2) (+ (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) |
(* (sqrt (* a (pow c 3))) (sqrt -4)) |
(- (* a b) (* -1 (* (sqrt (* a (pow c 3))) (sqrt -4)))) |
(- (* b (+ a (* 1/2 (* (sqrt (/ c a)) (/ b (sqrt -4)))))) (* -1 (* (sqrt (* a (pow c 3))) (sqrt -4)))) |
(- (* b (+ a (* b (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))) (* -1 (* (sqrt (* a (pow c 3))) (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) (* (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 (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (/ 1 a))) (* (sqrt (/ c a)) (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))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (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 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))) (* 2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* 4 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -4 (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 4 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(* 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))) |
(* b (- (/ a (pow b 2)) (/ 1 c))) |
(* b (- (+ (/ a (pow b 2)) (/ (* (pow a 2) c) (pow b 4))) (/ 1 c))) |
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (+ (/ a (pow b 2)) (/ (* (pow a 2) c) (pow b 4)))) (/ 1 c))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 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))))))) |
(* -1/2 (/ (* b (- a (* -1 c))) (* a c))) |
(* b (+ (* -1/2 (/ (- a (* -1 c)) (* a c))) (/ c (pow b 2)))) |
(* b (+ (* -1/2 (/ (- a (* -1 c)) (* a c))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))) |
(* b (+ (* -1/2 (/ (- a (* -1 c)) (* a c))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))))) |
(* b (+ (* -1 c) (* 2 (/ (* a (pow c 2)) (pow b 2))))) |
(* b (+ (* -1 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) |
(* b (+ (* -1 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 4 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) |
(* b (- a (* -1 c))) |
(* b (- (+ a (* -2 (/ (* a (pow c 2)) (pow b 2)))) (* -1 c))) |
(* b (- (+ a (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))) (+ (* -1 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))))) |
(* b (- (+ a (* -4 (/ (* (pow a 3) (pow c 4)) (pow b 6)))) (+ (* -1 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))))))) |
(* 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)) (* -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 (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))) |
(* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(/ (- (* 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) |
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) 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 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) 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)) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) c)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(* -1 (/ a b)) |
(* -1 (/ (+ a (/ (* (pow a 2) c) (pow b 2))) b)) |
(* -1 (/ (+ a (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (+ a (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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 (/ (+ (* -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)) |
(* 1/2 (/ (* b (- (* -1 a) (* -1 c))) (* a c))) |
(* -1 (* b (+ (* -1/2 (/ (- (* -1 a) (* -1 c)) (* a c))) (/ c (pow b 2))))) |
(* -1 (* b (+ (* -1/2 (/ (- (* -1 a) (* -1 c)) (* a c))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))))) |
(* -1 (* b (+ (* -1/2 (/ (- (* -1 a) (* -1 c)) (* a c))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ (* -1 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))))) |
(* -1 (* b (+ (* -1 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))))))) |
(* -1 (* b (+ (* -1 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 4 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))))) |
(* -1 (* b (- (* -1 a) (* -1 c)))) |
(* -1 (* b (- (+ (* -2 (/ (* a (pow c 2)) (pow b 2))) (* -1 a)) (* -1 c)))) |
(* -1 (* b (- (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1 a)) (+ (* -1 c) (* 2 (/ (* a (pow c 2)) (pow b 2))))))) |
(* -1 (* b (- (+ (* -4 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1 a)) (+ (* -1 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))))) |
(if (>= b 0) (* -1/2 (/ (- (* a b) (* -1 (* c (sqrt (- (pow b 2) (* 4 (* a c))))))) (* a c))) (* 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)) (* -1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a))) |
(* -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 (/ c b)) |
(* -1 (/ (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (+ (* -2 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) 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 (/ (+ 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)) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (+ (* 4 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))) (* (pow a 3) (pow c 3)))) (pow b 6))) (* 4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4)))))))) |
(+ (* -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)) c) |
(/ (+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3))))) c) |
(/ (+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b)))) c) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1/2 (/ b c)) |
(/ (+ (* -1/2 b) (* -1/2 (/ (* b c) a))) c) |
(/ (+ (* -1/2 b) (* c (+ (* -1/2 (/ b a)) (/ c b)))) c) |
(/ (+ (* -1/2 b) (* c (+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))))) c) |
(* c (+ (* -1 b) (* 2 (/ (* a c) b)))) |
(* c (+ (* -1 b) (* c (+ (* 2 (/ a b)) (* 2 (/ (* (pow a 2) c) (pow b 3))))))) |
(* c (+ (* -1 b) (* c (+ (* 2 (/ a b)) (* c (+ (* 2 (/ (pow a 2) (pow b 3))) (* 4 (/ (* (pow a 3) c) (pow b 5))))))))) |
(* a b) |
(+ (* a b) (* b c)) |
(+ (* a b) (* c (- (* -2 (/ (* a c) b)) (* -1 b)))) |
(+ (* a b) (* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 3))) (* 2 (/ a b)))) (* -1 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)))))))) |
(* 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 (/ c b)) (* 2 (/ b a))) |
(+ (* 2 (/ b a)) (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b))))) |
(+ (* 2 (/ b a)) (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 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 a)) (* c (+ (* 2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* 2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b)))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* 4 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))))) |
(* 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)))))))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* 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))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ (- b (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))) (pow c 2))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ (- b (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))) (pow c 2))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ (- b (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))) (pow c 2))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (pow c 2) (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))) |
(* (pow c 2) (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (pow c 2) (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (pow c 2) (- (/ (* a b) (pow c 2)) (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* (pow c 2) (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ (* a b) (pow c 2))) (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* (pow c 2) (- (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (/ (* a b) (pow c 2))) (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* 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)))))) |
(* 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))) |
(* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c)))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c)))))) |
(* 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))))) |
(- (+ (* -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)))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))))) |
(* -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))))) |
(+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 b)) c)) (* (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 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ (- b (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (pow c 2)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (/ (- b (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (pow c 2))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (/ (- b (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (pow c 2)))))))) |
(* (pow c 2) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))) |
(* (pow c 2) (+ (* -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)))))) |
(* (pow c 2) (+ (* -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 (pow c 3))) (sqrt -1))) |
(* (pow c 2) (- (/ (* a b) (pow c 2)) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (pow c 2) (- (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (/ (* a b) (pow c 2))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (pow c 2) (- (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (/ (* a b) (pow c 2))) (+ (* -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 (+ (* 1/4 (* (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 (* 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)))))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* 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 (* (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))) |
(+ (* -1 (/ (+ (* 4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | 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)))))) (if (>= b 0) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (>= b 0) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (if (>= b 0) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4))))))) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* (/ 1 a) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) -2)) (if (>= b 0) (* (/ 1 a) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) -2)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ 1 a) (/ (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (* (* -2 c) a)) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2)) (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (if (>= b 0) (/ (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (* (* -2 c) a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (- (- (* b b) (* c (* a 4))) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (sqrt (- (* b b) (* (* c a) 4))) (- (sqrt (- (* b b) (* (* c a) 4))) b) (+ (sqrt (- (* b b) (* (* c a) 4))) b) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (sqrt (- (* b b) (* c (* a 4)))) (- b (sqrt (- (* b b) (* c (* a 4))))) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b)))) |
| 11.0ms | c | @ | -inf | ((if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (>= b 0) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (if (>= b 0) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4))))))) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* (/ 1 a) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) -2)) (if (>= b 0) (* (/ 1 a) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) -2)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ 1 a) (/ (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (* (* -2 c) a)) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2)) (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (if (>= b 0) (/ (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (* (* -2 c) a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (- (- (* b b) (* c (* a 4))) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (sqrt (- (* b b) (* (* c a) 4))) (- (sqrt (- (* b b) (* (* c a) 4))) b) (+ (sqrt (- (* b b) (* (* c a) 4))) b) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (sqrt (- (* b b) (* c (* a 4)))) (- b (sqrt (- (* b b) (* c (* a 4))))) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b)))) |
| 10.0ms | a | @ | inf | ((if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (>= b 0) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (if (>= b 0) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4))))))) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* (/ 1 a) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) -2)) (if (>= b 0) (* (/ 1 a) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) -2)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ 1 a) (/ (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (* (* -2 c) a)) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2)) (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (if (>= b 0) (/ (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (* (* -2 c) a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (- (- (* b b) (* c (* a 4))) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (sqrt (- (* b b) (* (* c a) 4))) (- (sqrt (- (* b b) (* (* c a) 4))) b) (+ (sqrt (- (* b b) (* (* c a) 4))) b) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (sqrt (- (* b b) (* c (* a 4)))) (- b (sqrt (- (* b b) (* c (* a 4))))) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b)))) |
| 9.0ms | b | @ | inf | ((if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (>= b 0) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (if (>= b 0) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4))))))) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* (/ 1 a) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) -2)) (if (>= b 0) (* (/ 1 a) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) -2)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ 1 a) (/ (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (* (* -2 c) a)) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2)) (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (if (>= b 0) (/ (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (* (* -2 c) a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (- (- (* b b) (* c (* a 4))) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (sqrt (- (* b b) (* (* c a) 4))) (- (sqrt (- (* b b) (* (* c a) 4))) b) (+ (sqrt (- (* b b) (* (* c a) 4))) b) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (sqrt (- (* b b) (* c (* a 4)))) (- b (sqrt (- (* b b) (* c (* a 4))))) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b)))) |
| 8.0ms | c | @ | inf | ((if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (>= b 0) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (if (>= b 0) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4))))))) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* (/ 1 a) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) -2)) (if (>= b 0) (* (/ 1 a) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) -2)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (/ 1 a) (/ (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (* (* -2 c) a)) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2)) (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (if (>= b 0) (/ (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (* (* -2 c) a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (- (- (* b b) (* c (* a 4))) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (sqrt (- (* b b) (* (* c a) 4))) (- (sqrt (- (* b b) (* (* c a) 4))) b) (+ (sqrt (- (* b b) (* (* c a) 4))) b) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (sqrt (- (* b b) (* c (* a 4)))) (- b (sqrt (- (* b b) (* c (* a 4))))) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b)))) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1714 | 11682 |
| 1 | 6409 | 11615 |
| 0 | 8477 | 11615 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) c)) (* -2 (/ c (- b (sqrt (- (pow b 2) (* 4 (* a c)))))))) |
(* -1 (/ b c)) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (* a (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b c)) (* a (+ (* a (+ (* 2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b)))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(/ 1 a) |
(* -1/2 (/ b a)) |
(/ (+ (* -1/2 b) (* -1/2 (* a (- (/ b c) (* 2 (/ c b)))))) a) |
(/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (/ b c) (* 2 (/ c b)))) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (/ b c) (* 2 (/ c b)))) (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3))))))) a) |
(* -1 (* b c)) |
(+ (* -1 (* b c)) (* 2 (/ (* a (pow c 2)) b))) |
(+ (* -1 (* b c)) (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 3))) (* 2 (/ (pow c 2) b))))) |
(+ (* -1 (* b c)) (* a (+ (* 2 (/ (pow c 2) b)) (* a (+ (* 2 (/ (pow c 3) (pow b 3))) (* 4 (/ (* a (pow c 4)) (pow b 5)))))))) |
(* b c) |
(- (* a (- b (* 2 (/ (pow c 2) b)))) (* -1 (* b c))) |
(- (* a (- (+ b (* -2 (/ (* a (pow c 3)) (pow b 3)))) (* 2 (/ (pow c 2) b)))) (* -1 (* b c))) |
(- (* a (- (+ b (* a (- (* -4 (/ (* a (pow c 4)) (pow b 5))) (* 2 (/ (pow c 3) (pow b 3)))))) (* 2 (/ (pow c 2) b)))) (* -1 (* b c))) |
(if (>= b 0) (* -1/2 (/ (- (* a b) (* -1 (* c (sqrt (- (pow b 2) (* 4 (* a c))))))) (* a c))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(* -4 (* a c)) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a))) |
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 a)) |
(/ (+ (* -2 (/ (* a c) b)) (* 2 b)) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) 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) (* a (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* 4 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))) |
(* -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))))))) |
(* -1/2 (* (sqrt (/ a c)) (sqrt -4))) |
(* a (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* a (+ (* -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))))))) |
(* a (+ (* -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)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* 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 (/ (- b (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4)))) c)) |
(+ (* -1/2 (/ (- b (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4)))) c)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))) |
(+ (* -1/2 (/ (- b (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4)))) c)) (+ (* -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 (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4)))) c)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a (pow c 3))) (sqrt -4))) |
(* a (+ (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))) (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))))) |
(* a (+ (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* a (+ (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* a (- b (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))))) |
(* a (- (+ b (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))) (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))))) |
(* a (- (+ b (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b 4) (pow (sqrt -4) 3))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))) (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))))) |
(* a (- (+ b (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (pow b 6) (pow (sqrt -4) 5))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* 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)))))) |
(* 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 -4)) |
(+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b 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 (- (/ 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))))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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 (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) a) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -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))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 4 (/ (+ (* -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)))))) |
(* (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))) |
(* (sqrt (/ a c)) (sqrt -1)) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b c)) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1))))) a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 (/ b c))) a))))) |
(* -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 (/ (- (* -1 b) (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))) c)) |
(+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ (- (* -1 b) (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))) c))) |
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ (- (* -1 b) (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))) c)))) |
(+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ (- (* -1 b) (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))) c))))) |
(* 2 (* (sqrt (* a (pow c 3))) (sqrt -1))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (* (pow b 6) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))))))) |
(* -1 (* a (- (* -1 b) (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))))) |
(* -1 (* a (- (+ (* -1 b) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))))) |
(* -1 (* a (- (+ (* -1 b) (* -1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))))))) |
(* -1 (* a (- (+ (* -1 b) (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (* (pow b 6) (sqrt -1))))) (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (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)))))))) |
(* -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 (/ c a)) (sqrt -1))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) a))) |
(* 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 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(+ (* -1 b) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 4 (/ (+ (* -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 b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -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))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a))) a)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(>= b 0) |
(+ (* -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))))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* 1/2 (/ 1 c))))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 c))))) |
(+ 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))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b c))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 c))))) |
(+ (* -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 c))))) |
(+ (* -1 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* -1/2 (* (sqrt (/ c a)) (/ (pow b 2) (sqrt -4))))) |
(+ (* -1 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* (pow b 2) (+ (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(+ (* -1 (* (sqrt (* a (pow c 3))) (sqrt -4))) (* (pow b 2) (+ (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))))) |
(* (sqrt (* a (pow c 3))) (sqrt -4)) |
(- (* a b) (* -1 (* (sqrt (* a (pow c 3))) (sqrt -4)))) |
(- (* b (+ a (* 1/2 (* (sqrt (/ c a)) (/ b (sqrt -4)))))) (* -1 (* (sqrt (* a (pow c 3))) (sqrt -4)))) |
(- (* b (+ a (* b (- (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))))))) (* -1 (* (sqrt (* a (pow c 3))) (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) (* (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 (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (/ 1 a))) (* (sqrt (/ c a)) (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))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (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 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))) (* 2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* 4 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -4 (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 4 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(* 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))) |
(* b (- (/ a (pow b 2)) (/ 1 c))) |
(* b (- (+ (/ a (pow b 2)) (/ (* (pow a 2) c) (pow b 4))) (/ 1 c))) |
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (+ (/ a (pow b 2)) (/ (* (pow a 2) c) (pow b 4)))) (/ 1 c))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 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))))))) |
(* -1/2 (/ (* b (- a (* -1 c))) (* a c))) |
(* b (+ (* -1/2 (/ (- a (* -1 c)) (* a c))) (/ c (pow b 2)))) |
(* b (+ (* -1/2 (/ (- a (* -1 c)) (* a c))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))) |
(* b (+ (* -1/2 (/ (- a (* -1 c)) (* a c))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))))) |
(* b (+ (* -1 c) (* 2 (/ (* a (pow c 2)) (pow b 2))))) |
(* b (+ (* -1 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) |
(* b (+ (* -1 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 4 (/ (* (pow a 3) (pow c 4)) (pow b 6))))))) |
(* b (- a (* -1 c))) |
(* b (- (+ a (* -2 (/ (* a (pow c 2)) (pow b 2)))) (* -1 c))) |
(* b (- (+ a (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))) (+ (* -1 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))))) |
(* b (- (+ a (* -4 (/ (* (pow a 3) (pow c 4)) (pow b 6)))) (+ (* -1 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))))))) |
(* 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)) (* -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 (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))) |
(* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(/ (- (* 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) |
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6)))))) 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 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) 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)) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) c)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(* -1 (/ a b)) |
(* -1 (/ (+ a (/ (* (pow a 2) c) (pow b 2))) b)) |
(* -1 (/ (+ a (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (+ a (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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 (/ (+ (* -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)) |
(* 1/2 (/ (* b (- (* -1 a) (* -1 c))) (* a c))) |
(* -1 (* b (+ (* -1/2 (/ (- (* -1 a) (* -1 c)) (* a c))) (/ c (pow b 2))))) |
(* -1 (* b (+ (* -1/2 (/ (- (* -1 a) (* -1 c)) (* a c))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))))) |
(* -1 (* b (+ (* -1/2 (/ (- (* -1 a) (* -1 c)) (* a c))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ (* -1 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))))) |
(* -1 (* b (+ (* -1 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))))))) |
(* -1 (* b (+ (* -1 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 4 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))))) |
(* -1 (* b (- (* -1 a) (* -1 c)))) |
(* -1 (* b (- (+ (* -2 (/ (* a (pow c 2)) (pow b 2))) (* -1 a)) (* -1 c)))) |
(* -1 (* b (- (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* -1 a)) (+ (* -1 c) (* 2 (/ (* a (pow c 2)) (pow b 2))))))) |
(* -1 (* b (- (+ (* -4 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (* -1 a)) (+ (* -1 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))))) |
(if (>= b 0) (* -1/2 (/ (- (* a b) (* -1 (* c (sqrt (- (pow b 2) (* 4 (* a c))))))) (* a c))) (* 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)) (* -1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a))) |
(* -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 (/ c b)) |
(* -1 (/ (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (+ (* -2 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) 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 (/ (+ 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)) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (+ (* 4 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))) (* (pow a 3) (pow c 3)))) (pow b 6))) (* 4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4)))))))) |
(+ (* -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)) c) |
(/ (+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3))))) c) |
(/ (+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b)))) c) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1/2 (/ b c)) |
(/ (+ (* -1/2 b) (* -1/2 (/ (* b c) a))) c) |
(/ (+ (* -1/2 b) (* c (+ (* -1/2 (/ b a)) (/ c b)))) c) |
(/ (+ (* -1/2 b) (* c (+ (* -1/2 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))))) c) |
(* c (+ (* -1 b) (* 2 (/ (* a c) b)))) |
(* c (+ (* -1 b) (* c (+ (* 2 (/ a b)) (* 2 (/ (* (pow a 2) c) (pow b 3))))))) |
(* c (+ (* -1 b) (* c (+ (* 2 (/ a b)) (* c (+ (* 2 (/ (pow a 2) (pow b 3))) (* 4 (/ (* (pow a 3) c) (pow b 5))))))))) |
(* a b) |
(+ (* a b) (* b c)) |
(+ (* a b) (* c (- (* -2 (/ (* a c) b)) (* -1 b)))) |
(+ (* a b) (* c (- (* c (- (* -2 (/ (* (pow a 2) c) (pow b 3))) (* 2 (/ a b)))) (* -1 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)))))))) |
(* 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 (/ c b)) (* 2 (/ b a))) |
(+ (* 2 (/ b a)) (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b))))) |
(+ (* 2 (/ b a)) (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 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 a)) (* c (+ (* 2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* 2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b)))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* 4 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))))) |
(* 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)))))))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* 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))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ (- b (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))) (pow c 2))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ (- b (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))) (pow c 2))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ (- b (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))) (pow c 2))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (pow c 2) (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))) |
(* (pow c 2) (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (pow c 2) (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (pow c 2) (- (/ (* a b) (pow c 2)) (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* (pow c 2) (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ (* a b) (pow c 2))) (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* (pow c 2) (- (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (/ (* a b) (pow c 2))) (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* 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)))))) |
(* 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))) |
(* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c)))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c)))))) |
(* 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))))) |
(- (+ (* -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)))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))))) |
(* -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))))) |
(+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 b)) c)) (* (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 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ (- b (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (pow c 2)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (/ (- b (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (pow c 2))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (/ (- b (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (pow c 2)))))))) |
(* (pow c 2) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))) |
(* (pow c 2) (+ (* -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)))))) |
(* (pow c 2) (+ (* -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 (pow c 3))) (sqrt -1))) |
(* (pow c 2) (- (/ (* a b) (pow c 2)) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (pow c 2) (- (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (/ (* a b) (pow c 2))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (pow c 2) (- (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (/ (* a b) (pow c 2))) (+ (* -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 (+ (* 1/4 (* (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 (* 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)))))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* 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 (* (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))) |
(+ (* -1 (/ (+ (* 4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
| Outputs |
|---|
(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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(* -1 (/ b a)) |
(/.f32 (neg.f32 b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f32 (+.f32 (/.f32 (*.f32 c a) b) (neg.f32 b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (/.f32 a (*.f32 b b)) (/.f32 (*.f32 c c) b)) (/.f32 c b)) a) (neg.f32 b)) 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 (- (pow b 2) (* 4 (* a c))))) c)) (* -2 (/ c (- b (sqrt (- (pow b 2) (* 4 (* a c)))))))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) c) #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))))) |
(* -1 (/ b c)) |
(/.f32 (neg.f32 b) c) |
(+ (* -1 (/ b c)) (/ a b)) |
(+.f32 (/.f32 a b) (/.f32 (neg.f32 b) c)) |
(+ (* -1 (/ b c)) (* a (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+.f32 (*.f32 (+.f32 (*.f32 (/.f32 a (*.f32 b b)) (/.f32 c b)) (/.f32 #s(literal 1 binary32) b)) a) (/.f32 (neg.f32 b) c)) |
(+ (* -1 (/ b c)) (* a (+ (* a (+ (* 2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b)))) |
(* 2 b) |
(*.f32 #s(literal 2 binary32) b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(-.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 c a) b)) (*.f32 #s(literal -2 binary32) b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (/.f32 a (*.f32 b b)) (/.f32 (*.f32 c c) b)) (/.f32 c b))) a) (*.f32 #s(literal 2 binary32) b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(/ 1 a) |
(/.f32 #s(literal 1 binary32) a) |
(* -1/2 (/ b a)) |
(*.f32 (/.f32 b a) #s(literal -1/2 binary32)) |
(/ (+ (* -1/2 b) (* -1/2 (* a (- (/ b c) (* 2 (/ c b)))))) a) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 b (*.f32 (-.f32 (/.f32 b c) (*.f32 (/.f32 c b) #s(literal 2 binary32))) a))) a) |
(/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (/ b c) (* 2 (/ c b)))) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (-.f32 (/.f32 b c) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32)) (*.f32 (/.f32 a (*.f32 b b)) (/.f32 (*.f32 c c) b))) a) (*.f32 #s(literal -1/2 binary32) b)) a) |
(/ (+ (* -1/2 b) (* a (+ (* -1/2 (- (/ b c) (* 2 (/ c b)))) (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3))))))) a) |
(* -1 (* b c)) |
(*.f32 (neg.f32 b) c) |
(+ (* -1 (* b c)) (* 2 (/ (* a (pow c 2)) b))) |
(-.f32 (*.f32 (neg.f32 b) c) (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (*.f32 c c) a) b))) |
(+ (* -1 (* b c)) (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 3))) (* 2 (/ (pow c 2) b))))) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 (/.f32 (*.f32 (*.f32 c c) c) b) (/.f32 a (*.f32 b b))) (/.f32 (*.f32 c c) b))) a) (*.f32 (neg.f32 b) c)) |
(+ (* -1 (* b c)) (* a (+ (* 2 (/ (pow c 2) b)) (* a (+ (* 2 (/ (pow c 3) (pow b 3))) (* 4 (/ (* a (pow c 4)) (pow b 5)))))))) |
(* b c) |
(*.f32 c b) |
(- (* a (- b (* 2 (/ (pow c 2) b)))) (* -1 (* b c))) |
(-.f32 (*.f32 (-.f32 b (*.f32 (/.f32 (*.f32 c c) b) #s(literal 2 binary32))) a) (*.f32 (neg.f32 b) c)) |
(- (* a (- (+ b (* -2 (/ (* a (pow c 3)) (pow b 3)))) (* 2 (/ (pow c 2) b)))) (* -1 (* b c))) |
(-.f32 (*.f32 (+.f32 b (-.f32 (*.f32 (/.f32 #s(literal -2 binary32) (*.f32 b b)) (/.f32 (*.f32 (*.f32 (*.f32 c c) c) a) b)) (*.f32 (/.f32 (*.f32 c c) b) #s(literal 2 binary32)))) a) (*.f32 (neg.f32 b) c)) |
(- (* a (- (+ b (* a (- (* -4 (/ (* a (pow c 4)) (pow b 5))) (* 2 (/ (pow c 3) (pow b 3)))))) (* 2 (/ (pow c 2) b)))) (* -1 (* b c))) |
(if (>= b 0) (* -1/2 (/ (- (* a b) (* -1 (* c (sqrt (- (pow b 2) (* 4 (* a c))))))) (* a c))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal -1/2 binary32) c) (/.f32 (-.f32 (*.f32 a b) (*.f32 (neg.f32 c) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))) a)) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(* -4 (* a c)) |
(*.f32 #s(literal -4 binary32) (*.f32 c a)) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 c a) b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (/.f32 a (*.f32 b b)) (/.f32 (*.f32 c c) b)) (/.f32 c b))) a) b) |
(+ 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)) |
(*.f32 #s(literal -2 binary32) (/.f32 (*.f32 c a) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (/.f32 a (*.f32 b b)) (/.f32 (*.f32 c c) b)) (/.f32 c b))) a) |
(* 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 a)) |
(*.f32 (/.f32 b a) #s(literal 2 binary32)) |
(/ (+ (* -2 (/ (* a c) b)) (* 2 b)) a) |
(/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 c a) b)) (*.f32 #s(literal -2 binary32) b)) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/.f32 (+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (/.f32 a (*.f32 b b)) (/.f32 (*.f32 c c) b)) (/.f32 c b))) a) (*.f32 #s(literal 2 binary32) b)) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a) |
(* 2 (/ (* a c) b)) |
(*.f32 (/.f32 (*.f32 c a) b) #s(literal 2 binary32)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(*.f32 (-.f32 (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 b b)) (/.f32 (*.f32 (*.f32 c c) a) b)) (*.f32 #s(literal -2 binary32) (/.f32 c b))) a) |
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(*.f32 (/.f32 c b) #s(literal 2 binary32)) |
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(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* 4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))))))) |
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(* 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)))))) |
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(- (+ (* -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)))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))))) |
(+.f32 (*.f32 #s(literal 4 binary32) (+.f32 (/.f32 b #s(literal -4 binary32)) (*.f32 (/.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (*.f32 (*.f32 c c) c) a)) (sqrt.f32 #s(literal -4 binary32))) (/.f32 (*.f32 b b) #s(literal -4 binary32))) c) (/.f32 #s(literal -1/2 binary32) c)))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -4 binary32))) (sqrt.f32 (*.f32 c a))) #s(literal -4 binary32))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f32 (neg.f32 c) (-.f32 (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) a) c)))) (*.f32 (/.f32 (/.f32 b a) c) #s(literal -1/2 binary32)))) |
(* -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))))) |
(*.f32 (neg.f32 c) (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) a) c))) (/.f32 (-.f32 (*.f32 (/.f32 b a) #s(literal -1/2 binary32)) (*.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 a a) a)) c))))) 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))))) |
(+ (* -1/2 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+.f32 (*.f32 (/.f32 b c) #s(literal -1/2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) a) c))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) (*.f32 #s(literal -1/2 binary32) b)) c)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 b)) c)) (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (neg.f32 b) c) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (neg.f32 (/.f32 (-.f32 b (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) a) c))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b)))) c)) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))))) |
(* -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 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ (- b (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (pow c 2)))))) |
(*.f32 (neg.f32 c) (-.f32 (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) a) c)))) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 b (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 c (*.f32 (*.f32 a a) a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b)))) (*.f32 c c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (/ (- b (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (pow c 2))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (/ (- b (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (pow c 2)))))))) |
(* (pow c 2) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 c c) c) a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c))))) (*.f32 c c)) |
(* (pow c 2) (+ (* -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)))))) |
(* (pow c 2) (+ (* -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 (pow c 3))) (sqrt -1))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (*.f32 (*.f32 (*.f32 c c) c) a))) #s(literal -2 binary32)) |
(* (pow c 2) (- (/ (* a b) (pow c 2)) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (-.f32 (*.f32 (/.f32 a c) (/.f32 b c)) (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 c c) c) a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))))) (*.f32 c c)) |
(* (pow c 2) (- (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (/ (* a b) (pow c 2))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* (pow c 2) (- (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (/ (* a b) (pow c 2))) (+ (* -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 (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 c c) c) a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))))) |
(* -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 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f32 (neg.f32 c) (+.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c))) #s(literal 2 binary32)) (/.f32 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) a) c))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) b) c)) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))))) |
(* -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 (* c (+ (* -1 (/ b (* a c))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (+.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) a) c))) #s(literal 2 binary32)) (/.f32 (neg.f32 b) (*.f32 c a)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (neg.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 a a) a)) c))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) (/.f32 b a)) c)) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) a) c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (neg.f32 b) c) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c))) #s(literal 2 binary32)))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (neg.f32 (/.f32 (-.f32 b (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) a) c))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b)))) c)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c))) #s(literal 2 binary32)))) |
(* -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 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(-.f32 (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 c a)))) (*.f32 #s(literal 1/2 binary32) (/.f32 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))) |
(*.f32 #s(literal -1 binary32) (+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 c a))) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b)) (sqrt.f32 (/.f32 c (*.f32 (*.f32 a a) a)))) #s(literal 1/8 binary32)) (*.f32 (*.f32 b (/.f32 c a)) #s(literal -1/2 binary32))) 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))) |
(*.f32 #s(literal -1 binary32) (+.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 c a))) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) a) c))) (*.f32 (*.f32 b (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 c (*.f32 a a)) (/.f32 (*.f32 c c) a))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) #s(literal 1/8 binary32)))) (*.f32 (/.f32 #s(literal -1/16 binary32) a) (/.f32 (*.f32 (*.f32 (*.f32 b b) b) c) a))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 c (*.f32 a a)) (/.f32 (*.f32 c c) a))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) #s(literal 1/8 binary32))) c)) (*.f32 (*.f32 b (/.f32 c a)) #s(literal -1/2 binary32))) c))) |
(+ (* -1 (/ (+ (* 4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(-.f32 (neg.f32 (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (*.f32 (*.f32 c c) c) a)) (*.f32 b b)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/16 binary32)) c) #s(literal 4 binary32)) (*.f32 c b)) c)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (*.f32 c a))) #s(literal -2 binary32))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(-.f32 (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (*.f32 (*.f32 c c) c) a)) (*.f32 b b)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/16 binary32)) #s(literal -4 binary32)) (*.f32 #s(literal -4 binary32) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 c a))) (*.f32 (*.f32 b (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (*.f32 (*.f32 c c) c) a)) (*.f32 b b)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/16 binary32)))) (*.f32 #s(literal 1/32 binary32) (*.f32 (*.f32 (*.f32 b b) b) (/.f32 (*.f32 c c) a)))) c))) c)) (*.f32 c b)) c)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (*.f32 c a))) #s(literal -2 binary32))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 581 |
| 0 | 119 | 565 |
| 1 | 388 | 549 |
| 2 | 2122 | 549 |
| 0 | 8744 | 549 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(>=.f32 b #s(literal 0 binary32)) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) |
(*.f32 (/.f32 #s(literal 1 binary32) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal -2 binary32))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal -2 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(/.f32 #s(literal 1 binary32) a) |
(/.f32 (-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) c) a)) |
(*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32))) |
(-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) c) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) |
(/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
(-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) |
(/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
(+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))) |
| Outputs |
|---|
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(>=.f32 b #s(literal 0 binary32)) |
(*.f32 (/.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (-.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (*.f32 (*.f32 b b) b))) (neg.f32 a)) (/.f32 (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) #s(literal 2 binary32))) |
(*.f32 (/.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (-.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (*.f32 (*.f32 b b) b))) a) (/.f32 (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) #s(literal -2 binary32))) |
(*.f32 (/.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b))) (neg.f32 a)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal 2 binary32))) |
(*.f32 (/.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b))) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal -2 binary32))) |
(*.f32 (/.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (-.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (*.f32 (*.f32 b b) b))) #s(literal -2 binary32)) (/.f32 (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) a)) |
(*.f32 (/.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (-.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (*.f32 (*.f32 b b) b))) #s(literal 2 binary32)) (/.f32 (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 a))) |
(*.f32 (/.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b))) #s(literal -2 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) |
(*.f32 (/.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b))) #s(literal 2 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (neg.f32 a))) |
(*.f32 (/.f32 (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) a) #s(literal 1/2 binary32)) |
(*.f32 (/.f32 #s(literal -1 binary32) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal 2 binary32))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (neg.f32 a)) #s(literal 1/2 binary32)) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) a)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) a)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (neg.f32 a))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) a)) |
(*.f32 (/.f32 #s(literal 1 binary32) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal -2 binary32))) |
(*.f32 #s(literal 1 binary32) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a))) |
(*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) |
(*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) #s(literal -1/2 binary32))) (neg.f32 (neg.f32 a))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) (neg.f32 (neg.f32 a))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal -1/2 binary32)))) (neg.f32 (neg.f32 a))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (/.f32 #s(literal 1 binary32) a))) #s(literal -2 binary32)) |
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal -2 binary32)))) (neg.f32 (neg.f32 a))) |
(/.f32 (neg.f32 (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal -2 binary32)) #s(literal -1 binary32))) (neg.f32 (neg.f32 a))) |
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) a) (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) #s(literal -2 binary32)) |
(/.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a))) #s(literal -2 binary32)) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) #s(literal -1 binary32))) (neg.f32 (*.f32 #s(literal -2 binary32) a))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) #s(literal 1 binary32))) (*.f32 #s(literal -2 binary32) a)) |
(/.f32 (neg.f32 (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal -1 binary32))) (neg.f32 (*.f32 #s(literal -2 binary32) (neg.f32 a)))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) (neg.f32 (*.f32 #s(literal -2 binary32) a))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) (neg.f32 (*.f32 (neg.f32 a) #s(literal -2 binary32)))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) (*.f32 #s(literal -2 binary32) a)) |
(/.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal -2 binary32)))) (neg.f32 (neg.f32 a))) |
(/.f32 (*.f32 (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) #s(literal -1/2 binary32)) (neg.f32 a)) |
(/.f32 (*.f32 (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (/.f32 #s(literal 1 binary32) a)) #s(literal 2 binary32)) |
(/.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal -2 binary32))) (neg.f32 a)) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) (neg.f32 a)) |
(/.f32 (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal -2 binary32)) #s(literal -1 binary32)) (neg.f32 a)) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) a) (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) #s(literal 2 binary32)) |
(/.f32 (neg.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal -2 binary32))) (neg.f32 a)) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) (neg.f32 (neg.f32 (*.f32 #s(literal -2 binary32) a)))) |
(/.f32 (neg.f32 (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal -1/2 binary32))) (neg.f32 a)) |
(/.f32 (neg.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) #s(literal 2 binary32)) |
(/.f32 (*.f32 (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) #s(literal -1 binary32)) (*.f32 #s(literal -2 binary32) a)) |
(/.f32 (*.f32 (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) a)) |
(/.f32 (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal -1 binary32)) (*.f32 #s(literal -2 binary32) (neg.f32 a))) |
(/.f32 (*.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) (*.f32 #s(literal -2 binary32) a)) |
(/.f32 (*.f32 #s(literal -1 binary32) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (*.f32 (neg.f32 a) #s(literal -2 binary32))) |
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) (*.f32 #s(literal 2 binary32) a)) |
(/.f32 (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal -1/2 binary32)) a) |
(/.f32 (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (neg.f32 (*.f32 #s(literal -2 binary32) a))) |
(/.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) #s(literal -2 binary32)) a) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (*.f32 #s(literal -2 binary32) a)) |
(/.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -2 binary32)) |
(-.f32 (/.f32 (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (*.f32 #s(literal -2 binary32) a)) (/.f32 (/.f32 (*.f32 b b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (*.f32 #s(literal -2 binary32) a))) |
(+.f32 (/.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) (neg.f32 (*.f32 #s(literal -2 binary32) a))) (/.f32 (neg.f32 b) (neg.f32 (*.f32 #s(literal -2 binary32) a)))) |
(+.f32 (/.f32 (neg.f32 b) (neg.f32 (*.f32 #s(literal -2 binary32) a))) (/.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) (neg.f32 (*.f32 #s(literal -2 binary32) a)))) |
(+.f32 (/.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) #s(literal -2 binary32)) #s(literal 1 binary32)) a) (/.f32 (*.f32 (/.f32 b #s(literal -2 binary32)) #s(literal 1 binary32)) a)) |
(+.f32 (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) #s(literal -2 binary32))) a) (/.f32 (*.f32 #s(literal 1 binary32) (/.f32 b #s(literal -2 binary32))) a)) |
(+.f32 (/.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) #s(literal -2 binary32)) a) (/.f32 (/.f32 b #s(literal -2 binary32)) a)) |
(+.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) #s(literal 1 binary32)) (*.f32 #s(literal -2 binary32) a)) (/.f32 (*.f32 b #s(literal 1 binary32)) (*.f32 #s(literal -2 binary32) a))) |
(+.f32 (/.f32 (*.f32 b #s(literal 1 binary32)) (*.f32 #s(literal -2 binary32) a)) (/.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) #s(literal 1 binary32)) (*.f32 #s(literal -2 binary32) a))) |
(+.f32 (/.f32 (*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) (*.f32 #s(literal -2 binary32) a)) (/.f32 (*.f32 #s(literal 1 binary32) b) (*.f32 #s(literal -2 binary32) a))) |
(+.f32 (/.f32 (*.f32 #s(literal 1 binary32) b) (*.f32 #s(literal -2 binary32) a)) (/.f32 (*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) (*.f32 #s(literal -2 binary32) a))) |
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(-.f32 (/.f32 (*.f32 (*.f32 (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) (+.f32 (*.f32 (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) (+.f32 (*.f32 (/.f32 (*.f32 b b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (*.f32 b b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) (*.f32 (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (*.f32 b b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))))))) (/.f32 (*.f32 (*.f32 (/.f32 (*.f32 b b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (*.f32 b b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) (/.f32 (*.f32 b b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) (+.f32 (*.f32 (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) (+.f32 (*.f32 (/.f32 (*.f32 b b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (*.f32 b b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) (*.f32 (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (*.f32 b b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))))))) |
(-.f32 (/.f32 (*.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) (/.f32 (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))))) |
(-.f32 (/.f32 (*.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (*.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) (/.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))))) |
(-.f32 (/.f32 (/.f32 (*.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (+.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (+.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) |
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (+.f32 (*.f32 (*.f32 b b) (+.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b))) (*.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)) (+.f32 (*.f32 (*.f32 b b) (+.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b))) (*.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) |
(-.f32 (/.f32 (*.f32 (*.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (*.f32 (+.f32 (*.f32 (*.f32 b b) (+.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b))) (*.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)) (*.f32 (+.f32 (*.f32 (*.f32 b b) (+.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b))) (*.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))))) |
(-.f32 (/.f32 (*.f32 b b) (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))) (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))))) |
(-.f32 (/.f32 (*.f32 b b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) |
(-.f32 (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (*.f32 (neg.f32 (neg.f32 b)) b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) |
(-.f32 (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (*.f32 b b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) |
(+.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (+.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (*.f32 b b) (*.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))))) (/.f32 (*.f32 (*.f32 b b) b) (+.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (*.f32 b b) (*.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))))))) |
(+.f32 (/.f32 (*.f32 (*.f32 b b) b) (+.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (*.f32 b b) (*.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))))) (/.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (+.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (*.f32 b b) (*.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))))))) |
(+.f32 (/.f32 (*.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (*.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) (/.f32 (*.f32 (*.f32 (neg.f32 b) b) (*.f32 b b)) (*.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))))) |
(+.f32 (/.f32 (*.f32 (neg.f32 b) b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) |
(+.f32 (/.f32 (*.f32 b b) (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))) (/.f32 (*.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))))) |
(+.f32 (/.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) (/.f32 (*.f32 (*.f32 b b) b) (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))) |
(+.f32 (/.f32 (*.f32 (*.f32 b b) b) (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) (/.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))) |
(+.f32 (/.f32 (*.f32 b b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -4 binary32) a) c) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) |
(+.f32 (/.f32 (*.f32 b b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -4 binary32) a) c) (*.f32 (neg.f32 b) b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) |
(+.f32 (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (*.f32 (neg.f32 (neg.f32 b)) (neg.f32 b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) |
(+.f32 (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b))) (/.f32 (*.f32 (neg.f32 b) b) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)))) |
(+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (neg.f32 b)) |
(neg.f32 (neg.f32 (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))))) |
Compiled 88 842 to 4 961 computations (94.4% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 050 | 14 | 1 064 |
| Fresh | 8 | 4 | 12 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 063 | 18 | 1 081 |
| Status | Accuracy | Program |
|---|---|---|
| 49.2% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) | |
| 40.5% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 b (*.f32 #s(literal -2 binary32) a)) (/.f32 a c)) (*.f32 (/.f32 b (*.f32 #s(literal -2 binary32) a)) (/.f32 a c))) (*.f32 (*.f32 (*.f32 (/.f32 c c) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (*.f32 #s(literal 2 binary32) a))) (*.f32 (*.f32 (/.f32 c c) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (*.f32 #s(literal 2 binary32) a))))) (/.f32 (-.f32 (*.f32 a b) (*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) c))) (*.f32 (*.f32 #s(literal -2 binary32) c) a))) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) | |
| 70.4% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (*.f32 (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) | |
| 51.7% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (/.f32 #s(approx (- (- (* b b) (* c (* a 4))) (* b b)) (*.f32 #s(literal -4 binary32) (*.f32 c a))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))))) | |
| 69.8% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f32 b))))) | |
| 69.9% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b))))) | |
| ▶ | 39.1% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) #s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32)))))) |
| 40.0% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (*.f32 c (/.f32 #s(literal -2 binary32) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))))) | |
| 45.9% | (if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (* (* -2 c) a)) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 b (*.f32 (-.f32 (/.f32 b c) (*.f32 (/.f32 c b) #s(literal 2 binary32))) a))) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) | |
| ▶ | 38.1% | (if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) |
| ▶ | 52.9% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32))) |
| ▶ | 48.3% | #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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
| 70.9% | #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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (*.f32 (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))) b)))) | |
| 69.9% | #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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (- (* b b) (* (* c a) 4))) (neg.f32 b)) b)))) | |
| 71.0% | #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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) a) (/.f32 b a)) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) | |
| ▶ | 71.1% | #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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
| 68.9% | #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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/.f32 (neg.f32 b) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) | |
| 69.4% | #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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (+.f32 (/.f32 c b) (/.f32 (neg.f32 b) a))) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
Compiled 2 394 to 1 292 computations (46% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) | |
| cost-diff | 0 | #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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) | |
| cost-diff | 4 | (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) | |
| cost-diff | 8 | (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) | |
| cost-diff | 0 | (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) | |
| cost-diff | 0 | (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) | |
| cost-diff | 0 | (>=.f32 b #s(literal 0 binary32)) | |
| cost-diff | 0 | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) #s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32)))))) | |
| cost-diff | 0 | (/.f32 (neg.f32 a) b) | |
| cost-diff | 0 | #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) | |
| cost-diff | 0 | (>=.f32 b #s(literal 0 binary32)) | |
| cost-diff | 0 | (if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) | |
| cost-diff | 0 | (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) | |
| cost-diff | 0 | (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) | |
| cost-diff | 0 | (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) | |
| cost-diff | 0 | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32))) | |
| cost-diff | 0 | (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) | |
| cost-diff | 0 | (>=.f32 b #s(literal 0 binary32)) | |
| cost-diff | 0 | (if (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) | |
| cost-diff | 0 | #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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 1020 |
| 0 | 122 | 1020 |
| 1 | 226 | 1020 |
| 2 | 478 | 1020 |
| 3 | 1314 | 976 |
| 4 | 3813 | 956 |
| 5 | 7642 | 956 |
| 0 | 8202 | 956 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(*.f32 b b) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 c a) |
c |
a |
#s(literal 4 binary32) |
(/.f32 #s(literal -1/2 binary32) a) |
#s(literal -1/2 binary32) |
(/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(*.f32 c #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(*.f32 b b) |
b |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 c a) |
c |
a |
#s(literal 4 binary32) |
#s(literal -1/2 binary32) |
(if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
#s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) |
(/.f32 (neg.f32 a) b) |
(neg.f32 a) |
a |
(/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) |
(*.f32 #s(literal -2 binary32) c) |
#s(literal -2 binary32) |
c |
(-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
(-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) |
(*.f32 b b) |
(*.f32 c (*.f32 a #s(literal 4 binary32))) |
(*.f32 a #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) #s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32)))))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
(-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) |
(*.f32 b b) |
(*.f32 c (*.f32 a #s(literal 4 binary32))) |
c |
(*.f32 a #s(literal 4 binary32)) |
a |
#s(literal 4 binary32) |
(*.f32 #s(literal -2 binary32) c) |
#s(literal -2 binary32) |
(/.f32 (*.f32 #s(literal -2 binary32) c) #s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32))))) |
#s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32)))) |
(*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32))) |
(neg.f32 b) |
(-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32)) |
(*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) |
(*.f32 a (/.f32 c (*.f32 b b))) |
(/.f32 c (*.f32 b b)) |
#s(literal 2 binary32) |
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) #s(literal -1/2 binary32)) |
(/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) |
(-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(*.f32 b b) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 c a) |
c |
a |
#s(literal 4 binary32) |
(*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
#s(literal -1/2 binary32) |
(/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(*.f32 c #s(literal 2 binary32)) |
#s(literal 2 binary32) |
| Outputs |
|---|
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) |
(*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) |
(*.f32 b b) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 (*.f32 a #s(literal 4 binary32)) c) |
(*.f32 c a) |
c |
a |
#s(literal 4 binary32) |
(/.f32 #s(literal -1/2 binary32) a) |
#s(literal -1/2 binary32) |
(/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) |
(*.f32 c #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) c) |
#s(literal 2 binary32) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) |
(*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) a) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) |
(*.f32 b b) |
b |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 (*.f32 a #s(literal 4 binary32)) c) |
(*.f32 c a) |
c |
a |
#s(literal 4 binary32) |
#s(literal -1/2 binary32) |
(if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) |
(if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
#s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) |
(/.f32 (neg.f32 a) b) |
(neg.f32 a) |
a |
(/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) |
(/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(*.f32 #s(literal -2 binary32) c) |
#s(literal -2 binary32) |
c |
(-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) |
(-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) |
(-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) |
(*.f32 b b) |
(*.f32 c (*.f32 a #s(literal 4 binary32))) |
(*.f32 (*.f32 a #s(literal 4 binary32)) c) |
(*.f32 a #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) #s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32)))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) #s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (-.f32 (*.f32 (*.f32 (/.f32 c (*.f32 b b)) a) #s(literal 2 binary32)) #s(literal 2 binary32)) (neg.f32 b))))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) (*.f32 #s(literal -2 binary32) c)) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) |
(-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) |
(*.f32 b b) |
(*.f32 c (*.f32 a #s(literal 4 binary32))) |
(*.f32 (*.f32 a #s(literal 4 binary32)) c) |
c |
(*.f32 a #s(literal 4 binary32)) |
a |
#s(literal 4 binary32) |
(*.f32 #s(literal -2 binary32) c) |
#s(literal -2 binary32) |
(/.f32 (*.f32 #s(literal -2 binary32) c) #s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32))))) |
(/.f32 (*.f32 #s(literal -2 binary32) c) #s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (-.f32 (*.f32 (*.f32 (/.f32 c (*.f32 b b)) a) #s(literal 2 binary32)) #s(literal 2 binary32)) (neg.f32 b)))) |
#s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32)))) |
#s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (-.f32 (*.f32 (*.f32 (/.f32 c (*.f32 b b)) a) #s(literal 2 binary32)) #s(literal 2 binary32)) (neg.f32 b))) |
(*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32))) |
(*.f32 (-.f32 (*.f32 (*.f32 (/.f32 c (*.f32 b b)) a) #s(literal 2 binary32)) #s(literal 2 binary32)) (neg.f32 b)) |
(neg.f32 b) |
(-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32)) |
(-.f32 (*.f32 (*.f32 (/.f32 c (*.f32 b b)) a) #s(literal 2 binary32)) #s(literal 2 binary32)) |
(*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) |
(*.f32 (*.f32 (/.f32 c (*.f32 b b)) a) #s(literal 2 binary32)) |
(*.f32 a (/.f32 c (*.f32 b b))) |
(*.f32 (/.f32 c (*.f32 b b)) a) |
(/.f32 c (*.f32 b b)) |
#s(literal 2 binary32) |
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) (/.f32 (*.f32 (*.f32 #s(literal -4 binary32) c) #s(literal -1/2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (*.f32 (*.f32 #s(literal -4 binary32) c) #s(literal -1/2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) #s(literal -1/2 binary32)) |
(/.f32 (*.f32 (*.f32 #s(literal -4 binary32) c) #s(literal -1/2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) |
(/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) |
(/.f32 (*.f32 #s(literal -4 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) |
(-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) |
(*.f32 #s(literal -4 binary32) (*.f32 c a)) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) |
(*.f32 b b) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 (*.f32 a #s(literal 4 binary32)) c) |
(*.f32 c a) |
c |
a |
#s(literal 4 binary32) |
(*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) |
(*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) a) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) |
#s(literal -1/2 binary32) |
(/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) |
(*.f32 c #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) c) |
#s(literal 2 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.218133280785128 | (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) | |
| accuracy | 8.977665348033918 | (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) | |
| accuracy | 16.790486788530508 | (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) | |
| accuracy | 3.5471818850052133 | (/.f32 c (*.f32 b b)) | |
| accuracy | 6.139450719906899 | (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) | |
| accuracy | 20.57048566090494 | #s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32)))) | |
| accuracy | 1.5646697628752342 | (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) | |
| accuracy | 6.218133280785128 | (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) | |
| accuracy | 20.661819228326003 | #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) | |
| accuracy | 0.3789062553744572 | (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) | |
| accuracy | 1.6410792113524582 | (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) | |
| accuracy | 6.139450719906899 | (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) | |
| accuracy | 1.7733855602517468 | (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) | |
| accuracy | 6.139450719906899 | (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) | |
| accuracy | 6.218133280785128 | (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
| 153.0ms | 145× | 1 | valid |
| 58.0ms | 111× | 0 | valid |
Compiled 862 to 64 computations (92.6% saved)
ival-div: 75.0ms (42.5% of total)ival-sub: 33.0ms (18.7% of total)ival-mult: 31.0ms (17.6% of total)adjust: 12.0ms (6.8% of total)ival-if: 8.0ms (4.5% of total)ival-sqrt: 8.0ms (4.5% of total)ival-add: 5.0ms (2.8% of total)ival-neg: 2.0ms (1.1% of total)ival->=: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(>=.f32 b #s(literal 0 binary32)) |
(*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) |
(/.f32 (neg.f32 a) b) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) #s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32)))))) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) |
(-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) |
(/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) |
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
(-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) |
(/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) |
#s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32)))) |
(/.f32 c (*.f32 b b)) |
| Outputs |
|---|
(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) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a))) |
(* 2 (/ b a)) |
(/ (+ (* -2 (/ (* a c) b)) (* 2 b)) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) c)) (* -2 (/ c (- b (sqrt (- (pow b 2) (* 4 (* a c)))))))) |
(* -1 (/ b c)) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (* a (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b c)) (* a (+ (* a (+ (* 2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b)))) |
(* -1 (/ a b)) |
(* -4 (* a c)) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* 4 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))))) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* 4 (* 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)))))) (* 4 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))))))) a) |
(if (>= b 0) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 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)))))))) |
(* -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)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 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) (* a (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c 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))))))) |
(* (sqrt (/ c a)) (sqrt -4)) |
(+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* 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 (/ a c)) (sqrt -4))) |
(* a (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* a (+ (* -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))))))) |
(* a (+ (* -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 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -4 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -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))))) a) |
(/ (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -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))) (* 4 (/ (+ (* 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)))))) a) |
(* 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)))))) |
(* 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 (- (/ (pow b 2) a) (* 4 c))) |
(* -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))))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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 (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) 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))) |
(* -2 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) a))) |
(* -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)))))) |
(* (sqrt (/ a c)) (sqrt -1)) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b c)) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1))))) a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 (/ b c))) a))))) |
(* 2 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 b)) a)) |
(* -1 (/ (+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -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 b)) a))) a)) |
(* -1 (/ (+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (+ (* 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)) (* 4 (+ (* -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 b)) a))) a)) |
(* -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)))))))) |
(* -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)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* 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 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(>= b 0) |
(+ (* -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))))) |
(+ (* b (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (/ 1 a))) (* (sqrt (/ c a)) (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))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* 1/2 (/ 1 c))))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 c))))) |
(+ (* -4 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -4 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -4 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* 4 (* 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))))))) (* 4 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -4 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* 4 (* 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)))))))) (* 4 (+ (* -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)))))))) (* 4 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 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) (* (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))) |
(- (pow b 2) (* 4 (* a c))) |
(- 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))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (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 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))) (* 2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(/ c (pow b 2)) |
(* 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))) |
(* b (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))) |
(* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 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 (- (/ a (pow b 2)) (/ 1 c))) |
(* b (- (+ (/ a (pow b 2)) (/ (* (pow a 2) c) (pow b 4))) (/ 1 c))) |
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (+ (/ a (pow b 2)) (/ (* (pow a 2) c) (pow b 4)))) (/ 1 c))) |
(* b (+ (* -2 (/ c (pow b 2))) (+ (* 4 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (* 2 (/ 1 a))))) |
(* b (+ (* -2 (/ c (pow b 2))) (+ (* 4 (/ (+ (* -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))) (+ (* 4 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (* 2 (/ 1 a)))))) |
(* 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)) (* -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) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (- (* 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) |
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(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 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) 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)) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* -1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a))) |
(* 2 (/ c b)) |
(* -1 (/ (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (+ (* -2 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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 (/ (+ (* -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)) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) c)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(* -1 (/ (+ a (/ (* (pow a 2) c) (pow b 2))) b)) |
(* -1 (/ (+ a (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (+ a (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (+ (* -2 (/ (* a (pow c 2)) (pow b 2))) (* 4 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b)) |
(if (>= b 0) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 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)))))))) |
(* -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 (/ (+ 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)) |
(+ (* -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 (/ c b)) (* 2 (/ b a))) |
(+ (* 2 (/ b a)) (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b))))) |
(+ (* 2 (/ b a)) (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(/ (+ (* -1 b) (/ (* a c) b)) c) |
(/ (+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3))))) c) |
(/ (+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b)))) c) |
(+ (* 2 (/ b a)) (* c (- (* 4 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 2 (/ 1 b))))) |
(+ (* 2 (/ b a)) (* c (- (* c (+ (* 4 (* 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)))))) (* 4 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (* 2 (/ 1 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)))))))) |
(* 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)))))))) |
(* 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 a)) (* c (+ (* 2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* 2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b)))) |
(* 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 (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c)))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c)))))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* 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 (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(- (+ (* -4 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* 4 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -4 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 4 (/ b (* a (pow (sqrt -4) 2))))))) |
(* 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)))))) |
(* 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))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* 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))))) |
(- (+ (* -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)))))) |
(* -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))))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* 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 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 b)) c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)) |
(+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (/ (* b c) a)) c)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/8 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (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)))))))))) (+ (* -1/2 (* (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)) (/ (* b c) a)) c)) (* 2 (* (sqrt (/ c a)) (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 (* 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)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -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 (* (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))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | c | @ | inf | ((if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (+ (sqrt (- (* b b) (* (* c a) 4))) b) (/ -1/2 a)) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (>= b 0) (* (+ (sqrt (- (* b b) (* (* c a) 4))) b) (/ -1/2 a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (+ (sqrt (- (* b b) (* (* c a) 4))) b) (if (>= b 0) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4))))))) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (neg a) b) (if (>= b 0) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4))))))) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (+ (sqrt (- (* b b) (* c (* a 4)))) b) (- (- (* b b) (* (* c a) 4)) (* b b)) (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (sqrt (- (* b b) (* (* c a) 4))) (- (sqrt (- (* b b) (* (* c a) 4))) b) (- (* b b) (* (* c a) 4)) (sqrt (- (* b b) (* c (* a 4)))) (- b (sqrt (- (* b b) (* c (* a 4))))) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (- b (sqrt (- (* b b) (* c (* a 4))))) (/ c (* b b))) |
| 3.0ms | c | @ | -inf | ((if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (+ (sqrt (- (* b b) (* (* c a) 4))) b) (/ -1/2 a)) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (>= b 0) (* (+ (sqrt (- (* b b) (* (* c a) 4))) b) (/ -1/2 a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (+ (sqrt (- (* b b) (* (* c a) 4))) b) (if (>= b 0) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4))))))) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (neg a) b) (if (>= b 0) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4))))))) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (+ (sqrt (- (* b b) (* c (* a 4)))) b) (- (- (* b b) (* (* c a) 4)) (* b b)) (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (sqrt (- (* b b) (* (* c a) 4))) (- (sqrt (- (* b b) (* (* c a) 4))) b) (- (* b b) (* (* c a) 4)) (sqrt (- (* b b) (* c (* a 4)))) (- b (sqrt (- (* b b) (* c (* a 4))))) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (- b (sqrt (- (* b b) (* c (* a 4))))) (/ c (* b b))) |
| 3.0ms | b | @ | inf | ((if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (+ (sqrt (- (* b b) (* (* c a) 4))) b) (/ -1/2 a)) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (>= b 0) (* (+ (sqrt (- (* b b) (* (* c a) 4))) b) (/ -1/2 a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (+ (sqrt (- (* b b) (* (* c a) 4))) b) (if (>= b 0) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4))))))) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (neg a) b) (if (>= b 0) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4))))))) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (+ (sqrt (- (* b b) (* c (* a 4)))) b) (- (- (* b b) (* (* c a) 4)) (* b b)) (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (sqrt (- (* b b) (* (* c a) 4))) (- (sqrt (- (* b b) (* (* c a) 4))) b) (- (* b b) (* (* c a) 4)) (sqrt (- (* b b) (* c (* a 4)))) (- b (sqrt (- (* b b) (* c (* a 4))))) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (- b (sqrt (- (* b b) (* c (* a 4))))) (/ c (* b b))) |
| 3.0ms | a | @ | inf | ((if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (+ (sqrt (- (* b b) (* (* c a) 4))) b) (/ -1/2 a)) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (>= b 0) (* (+ (sqrt (- (* b b) (* (* c a) 4))) b) (/ -1/2 a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (+ (sqrt (- (* b b) (* (* c a) 4))) b) (if (>= b 0) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4))))))) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (neg a) b) (if (>= b 0) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4))))))) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (+ (sqrt (- (* b b) (* c (* a 4)))) b) (- (- (* b b) (* (* c a) 4)) (* b b)) (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (sqrt (- (* b b) (* (* c a) 4))) (- (sqrt (- (* b b) (* (* c a) 4))) b) (- (* b b) (* (* c a) 4)) (sqrt (- (* b b) (* c (* a 4)))) (- b (sqrt (- (* b b) (* c (* a 4))))) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (- b (sqrt (- (* b b) (* c (* a 4))))) (/ c (* b b))) |
| 3.0ms | 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)))))) (if (>= b 0) (* (+ (sqrt (- (* b b) (* (* c a) 4))) b) (/ -1/2 a)) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (>= b 0) (* (+ (sqrt (- (* b b) (* (* c a) 4))) b) (/ -1/2 a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (+ (sqrt (- (* b b) (* (* c a) 4))) b) (if (>= b 0) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4))))))) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (neg a) b) (if (>= b 0) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4))))))) (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (+ (sqrt (- (* b b) (* c (* a 4)))) b) (- (- (* b b) (* (* c a) 4)) (* b b)) (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (sqrt (- (* b b) (* (* c a) 4))) (- (sqrt (- (* b b) (* (* c a) 4))) b) (- (* b b) (* (* c a) 4)) (sqrt (- (* b b) (* c (* a 4)))) (- b (sqrt (- (* b b) (* c (* a 4))))) (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (- b (sqrt (- (* b b) (* c (* a 4))))) (/ c (* b b))) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1395 | 8488 |
| 1 | 5232 | 8361 |
| 0 | 8100 | 8361 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a))) |
(* 2 (/ b a)) |
(/ (+ (* -2 (/ (* a c) b)) (* 2 b)) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) c)) (* -2 (/ c (- b (sqrt (- (pow b 2) (* 4 (* a c)))))))) |
(* -1 (/ b c)) |
(+ (* -1 (/ b c)) (/ a b)) |
(+ (* -1 (/ b c)) (* a (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b c)) (* a (+ (* a (+ (* 2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b)))) |
(* -1 (/ a b)) |
(* -4 (* a c)) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* 4 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))))) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* 4 (* 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)))))) (* 4 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))))))) a) |
(if (>= b 0) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 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)))))))) |
(* -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)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 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) (* a (+ (* 2 (* a (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)))))) (* 2 (+ (* -1/2 (/ (pow c 2) (pow b 3))) (/ (pow c 2) (pow b 3)))))) (/ c 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))))))) |
(* (sqrt (/ c a)) (sqrt -4)) |
(+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b 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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* 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 (/ a c)) (sqrt -4))) |
(* a (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* a (+ (* -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))))))) |
(* a (+ (* -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 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -4 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -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))))) a) |
(/ (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -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))) (* 4 (/ (+ (* 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)))))) a) |
(* 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)))))) |
(* 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 (- (/ (pow b 2) a) (* 4 c))) |
(* -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))))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2))))) a) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (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 (+ (* -1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))))) 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))) |
(* -2 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) a))) |
(* -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)))))) |
(* (sqrt (/ a c)) (sqrt -1)) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b c)) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1))))) a))))) |
(* -1 (* a (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 5)))) (* (pow b 4) (sqrt -1))))) a)) (* -1/2 (/ b c))) a))))) |
(* 2 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 b)) a)) |
(* -1 (/ (+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -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 b)) a))) a)) |
(* -1 (/ (+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (+ (* 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)) (* 4 (+ (* -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 b)) a))) a)) |
(* -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)))))))) |
(* -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)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* 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 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 2 (+ (* -1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(>= b 0) |
(+ (* -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))))) |
(+ (* b (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (/ 1 a))) (* (sqrt (/ c a)) (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))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* -1/2 (/ b c))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ b (sqrt -4)))) (* 1/2 (/ 1 c))))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 c))))) |
(+ (* -4 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -4 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -4 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* 4 (* 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))))))) (* 4 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -4 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (- (* b (+ (* 4 (* 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)))))))) (* 4 (+ (* -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)))))))) (* 4 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 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) (* (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))) |
(- (pow b 2) (* 4 (* a c))) |
(- 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))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (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 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4)))))) (* 2 (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(/ c (pow b 2)) |
(* 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))) |
(* b (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))) |
(* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 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 (- (/ a (pow b 2)) (/ 1 c))) |
(* b (- (+ (/ a (pow b 2)) (/ (* (pow a 2) c) (pow b 4))) (/ 1 c))) |
(* b (- (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 6))) (+ (/ a (pow b 2)) (/ (* (pow a 2) c) (pow b 4)))) (/ 1 c))) |
(* b (+ (* -2 (/ c (pow b 2))) (+ (* 4 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (* 2 (/ 1 a))))) |
(* b (+ (* -2 (/ c (pow b 2))) (+ (* 4 (/ (+ (* -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))) (+ (* 4 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (* 2 (/ 1 a)))))) |
(* 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)) (* -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) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (- (* 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) |
(* b (- (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* 2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(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 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) 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)) |
(if (>= b 0) (* 1/2 (/ (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* -1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a))) |
(* 2 (/ c b)) |
(* -1 (/ (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (+ (* -2 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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 (/ (+ (* -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)) |
(if (>= b 0) (* -1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) c)) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b))))) |
(* -1 (/ (+ a (/ (* (pow a 2) c) (pow b 2))) b)) |
(* -1 (/ (+ a (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (+ a (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow b 6) c))) (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (+ (* -2 (/ (* a (pow c 2)) (pow b 2))) (* 4 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b)) |
(if (>= b 0) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 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)))))))) |
(* -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 (/ (+ 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)) |
(+ (* -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 (/ c b)) (* 2 (/ b a))) |
(+ (* 2 (/ b a)) (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b))))) |
(+ (* 2 (/ b a)) (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(/ (+ (* -1 b) (/ (* a c) b)) c) |
(/ (+ (* -1 b) (* c (+ (/ a b) (/ (* (pow a 2) c) (pow b 3))))) c) |
(/ (+ (* -1 b) (* c (+ (* c (+ (* 2 (/ (* (pow a 3) c) (pow b 5))) (/ (pow a 2) (pow b 3)))) (/ a b)))) c) |
(+ (* 2 (/ b a)) (* c (- (* 4 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (* 2 (/ 1 b))))) |
(+ (* 2 (/ b a)) (* c (- (* c (+ (* 4 (* 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)))))) (* 4 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (* 2 (/ 1 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)))))))) |
(* 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)))))))) |
(* 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 a)) (* c (+ (* 2 (* c (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))))))) (* 2 (+ (* -1/2 (/ a (pow b 3))) (/ a (pow b 3)))))) (/ 1 b)))) |
(* 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 (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c)))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c)))))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* 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 (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (/ b c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(- (+ (* -4 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* 4 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -4 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3)))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* 4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 4 (/ b (* a (pow (sqrt -4) 2))))))) |
(* 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)))))) |
(* 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))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* 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))))) |
(- (+ (* -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)))))) |
(* -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))))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* 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 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 b)) c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)) |
(+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (/ (* b c) a)) c)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/8 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (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)))))))))) (+ (* -1/2 (* (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)) (/ (* b c) a)) c)) (* 2 (* (sqrt (/ c a)) (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 (* 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)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -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 (* (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))) |
| Outputs |
|---|
(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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(* -1 (/ b a)) |
(/.f32 (neg.f32 b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f32 (+.f32 (/.f32 (*.f32 c a) b) (neg.f32 b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (/.f32 (*.f32 c c) b) (/.f32 a (*.f32 b b))) (/.f32 c b)) a) (neg.f32 b)) 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 (- (pow b 2) (* 4 (* a c))))) a)) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) |
(* 2 (/ b a)) |
(*.f32 (/.f32 b a) #s(literal 2 binary32)) |
(/ (+ (* -2 (/ (* a c) b)) (* 2 b)) a) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 c a) b) #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) b)) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/.f32 (+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (/.f32 (*.f32 c c) b) (/.f32 a (*.f32 b b))) (/.f32 c b))) a) (*.f32 #s(literal 2 binary32) b)) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a) |
(* 2 b) |
(*.f32 #s(literal 2 binary32) b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(-.f32 (*.f32 (/.f32 (*.f32 c a) b) #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (/.f32 (*.f32 c c) b) (/.f32 a (*.f32 b b))) (/.f32 c b))) a) (*.f32 #s(literal 2 binary32) b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) c)) (* -2 (/ c (- b (sqrt (- (pow b 2) (* 4 (* a c)))))))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) c) #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))))) |
(* -1 (/ b c)) |
(/.f32 (neg.f32 b) c) |
(+ (* -1 (/ b c)) (/ a b)) |
(+.f32 (/.f32 a b) (/.f32 (neg.f32 b) c)) |
(+ (* -1 (/ b c)) (* a (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+.f32 (*.f32 (+.f32 (*.f32 (/.f32 a (*.f32 b b)) (/.f32 c b)) (/.f32 #s(literal 1 binary32) b)) a) (/.f32 (neg.f32 b) c)) |
(+ (* -1 (/ b c)) (* a (+ (* a (+ (* 2 (/ (* a (pow c 2)) (pow b 5))) (/ c (pow b 3)))) (/ 1 b)))) |
(* -1 (/ a b)) |
(/.f32 a (neg.f32 b)) |
(* -4 (* a c)) |
(*.f32 #s(literal -4 binary32) (*.f32 c a)) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* 4 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))))) a) |
(/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (*.f32 a #s(literal 4 binary32)) (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 b b)) (/.f32 (*.f32 c c) b))) (*.f32 (/.f32 c b) #s(literal -2 binary32))) a) (*.f32 #s(literal 2 binary32) b)) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* 4 (* 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)))))) (* 4 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))))))) a) |
(if (>= b 0) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+.f32 (*.f32 (/.f32 (*.f32 c a) b) #s(literal -2 binary32)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (/.f32 (*.f32 c c) b) (/.f32 a (*.f32 b b))) (/.f32 c b))) a) b) |
(+ 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)) |
(*.f32 (/.f32 (*.f32 c a) b) #s(literal -2 binary32)) |
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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))) |
(*.f32 (-.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 c c) c) a)))) (/.f32 (*.f32 b b) (sqrt.f32 #s(literal -4 binary32)))) (*.f32 (sqrt.f32 (/.f32 a c)) (sqrt.f32 #s(literal -4 binary32)))) (/.f32 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))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f32 (-.f32 (/.f32 (*.f32 b b) c) (*.f32 a #s(literal 4 binary32))) c) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f32 (-.f32 (/.f32 b c) (*.f32 (sqrt.f32 (/.f32 a c)) (sqrt.f32 #s(literal -4 binary32)))) c) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 c c) c) a)))) (/.f32 (*.f32 b b) (sqrt.f32 #s(literal -4 binary32)))) (-.f32 (/.f32 b c) (*.f32 (sqrt.f32 (/.f32 a c)) (sqrt.f32 #s(literal -4 binary32))))) c) |
(* 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))))) |
(- (+ (* -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))))) |
(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 c c) a) (/.f32 c (*.f32 a a)))) (*.f32 (/.f32 b (sqrt.f32 #s(literal -4 binary32))) (/.f32 b #s(literal -4 binary32))))) (neg.f32 (*.f32 c c))) (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 (/.f32 b a) #s(literal -4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -4 binary32))) (sqrt.f32 (/.f32 c 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)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f32 (neg.f32 c) (-.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a)))) (*.f32 (/.f32 (/.f32 b a) c) #s(literal -1/2 binary32)))) |
(* -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))))) |
(*.f32 (neg.f32 c) (neg.f32 (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 b a) #s(literal -1/2 binary32)) (*.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 a a) a)) c))))) c) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a))))))) |
(* -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))))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (+.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a)))) #s(literal 2 binary32)) (/.f32 (neg.f32 b) (*.f32 c a)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 a a) a)) c))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) (/.f32 b a)) (neg.f32 c)) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (neg.f32 b) c) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (-.f32 b (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b)))) (neg.f32 c)) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))))) |
(* -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 (/ b c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+.f32 (*.f32 (/.f32 b c) #s(literal -1/2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) (*.f32 #s(literal -1/2 binary32) b)) (neg.f32 c)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) (* 1/2 b)) c)) (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)) |
(+.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 c a))) #s(literal 2 binary32)) (/.f32 b a)) |
(+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (/ (* b c) a)) c)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))) |
(-.f32 (/.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 c (*.f32 (*.f32 a a) a))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) #s(literal -1/4 binary32)) (*.f32 b (/.f32 c a))) (neg.f32 c)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 c a))) #s(literal -2 binary32))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/8 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (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)))))))))) (+ (* -1/2 (* (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)) (/ (* b c) a)) c)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))) |
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a)))) (*.f32 (*.f32 b (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 c c) a) (/.f32 c (*.f32 a a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) #s(literal -1/4 binary32)))) (*.f32 (/.f32 #s(literal 1/8 binary32) a) (/.f32 (*.f32 (*.f32 (*.f32 b b) b) c) a))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 c c) a) (/.f32 c (*.f32 a a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) #s(literal -1/4 binary32))) (neg.f32 c)) (*.f32 b (/.f32 c a))) (neg.f32 c)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 c a))) #s(literal -2 binary32))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 c c) c) a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))))) |
(* -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 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f32 (neg.f32 c) (+.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c))) #s(literal 2 binary32)) (/.f32 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) b) (neg.f32 c)) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))))) |
(* -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 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (*.f32 (neg.f32 b) b) c) (*.f32 #s(literal -4 binary32) a))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (neg.f32 b) c) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c))) #s(literal 2 binary32)))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (-.f32 b (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b)))) (neg.f32 c)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c))) #s(literal 2 binary32)))) |
(* -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 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(-.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 c a))) (*.f32 #s(literal 1/2 binary32) (/.f32 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))) |
(neg.f32 (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 c (*.f32 (*.f32 a a) a))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) #s(literal 1/8 binary32)) (*.f32 (*.f32 b (/.f32 c a)) #s(literal -1/2 binary32))) c) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 c a))))) |
(+ (* -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))) |
(neg.f32 (+.f32 (/.f32 (-.f32 (/.f32 (-.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a)))) (*.f32 (*.f32 b (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 c c) a) (/.f32 c (*.f32 a a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) #s(literal 1/8 binary32)))) (*.f32 (/.f32 #s(literal -1/16 binary32) a) (/.f32 (*.f32 (*.f32 (*.f32 b b) b) c) a))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 c c) a) (/.f32 c (*.f32 a a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) #s(literal 1/8 binary32))) (neg.f32 c)) (*.f32 (*.f32 b (/.f32 c a)) #s(literal -1/2 binary32))) c) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 c a))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 667 |
| 0 | 122 | 625 |
| 1 | 408 | 611 |
| 2 | 2051 | 611 |
| 0 | 8371 | 611 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(>=.f32 b #s(literal 0 binary32)) |
(*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) |
#s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) |
(/.f32 (neg.f32 a) b) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) #s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32)))))) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) |
(+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) |
(-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) |
(/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) |
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) |
(-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) |
(/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))))) |
#s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32)))) |
(/.f32 c (*.f32 b b)) |
| Outputs |
|---|
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(>=.f32 b #s(literal 0 binary32)) |
(*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)))) (/.f32 (/.f32 #s(literal -1/2 binary32) a) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) (/.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(*.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) a) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)))) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) |
(*.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) a) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(*.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b))) a) (/.f32 #s(literal -1/2 binary32) (neg.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)))) |
(*.f32 (/.f32 #s(literal -1/2 binary32) (neg.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) (/.f32 (neg.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b))) a)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (neg.f32 a))) |
(*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (neg.f32 a)) (/.f32 #s(literal 1/2 binary32) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) a) (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) a)) |
(*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) a) (/.f32 #s(literal -1/2 binary32) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(*.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (/.f32 #s(literal -1/2 binary32) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) a))) |
(*.f32 (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (/.f32 #s(literal 1/2 binary32) a)) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) a) #s(literal -1/2 binary32)) |
(*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) |
(*.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) a)) |
(*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) (/.f32 #s(literal -1/2 binary32) a)) |
(/.f32 (neg.f32 (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) #s(literal -1/2 binary32)) a)) (neg.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) #s(literal -1/2 binary32))) a) |
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) a) |
(/.f32 (neg.f32 (*.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (/.f32 #s(literal -1/2 binary32) a))) (neg.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(/.f32 (neg.f32 (*.f32 (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (/.f32 #s(literal -1/2 binary32) a))) (neg.f32 (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b))) #s(literal -1/2 binary32))) (neg.f32 (*.f32 (neg.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) a))) |
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) a) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)))) (neg.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) (neg.f32 (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)))) a) |
(/.f32 (neg.f32 (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) #s(literal 1/2 binary32))) a) |
(/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (neg.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b))))) (neg.f32 (*.f32 (neg.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) a))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)))) a) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) #s(literal -1/2 binary32)))) (neg.f32 (*.f32 (neg.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) a))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)))) (neg.f32 (*.f32 (neg.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) a))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) (neg.f32 (*.f32 (neg.f32 a) (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) (neg.f32 (*.f32 a (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) #s(literal 1/2 binary32))) (neg.f32 (*.f32 (neg.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) a))) |
(/.f32 (neg.f32 (*.f32 (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) #s(literal 1/2 binary32))) (neg.f32 (*.f32 (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (neg.f32 a)))) |
(/.f32 (neg.f32 (*.f32 (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) #s(literal -1/2 binary32))) (neg.f32 (*.f32 (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a))) |
(/.f32 (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) #s(literal -1/2 binary32)) a) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) |
(/.f32 (*.f32 (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) #s(literal -1/2 binary32)) (neg.f32 a)) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (neg.f32 a)) |
(/.f32 (*.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (/.f32 #s(literal -1/2 binary32) a)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) |
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (/.f32 #s(literal -1/2 binary32) a)) (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) |
(/.f32 (*.f32 (neg.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b))) #s(literal -1/2 binary32)) (*.f32 (neg.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) a)) |
(/.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) a) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) |
(/.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) (neg.f32 a)) |
(/.f32 (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) #s(literal 1/2 binary32)) (neg.f32 a)) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (neg.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)))) (*.f32 (neg.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) a)) |
(/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) (neg.f32 a)) |
(/.f32 (neg.f32 (*.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) #s(literal -1/2 binary32))) (*.f32 (neg.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) a)) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b))) (*.f32 (neg.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) a)) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (*.f32 (neg.f32 a) (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (*.f32 a (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(/.f32 (*.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) #s(literal 1/2 binary32)) (*.f32 (neg.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) a)) |
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) #s(literal 1/2 binary32)) (*.f32 (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (neg.f32 a))) |
(/.f32 (*.f32 (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) #s(literal -1/2 binary32)) (*.f32 (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a)) |
(/.f32 (*.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) #s(literal -1/2 binary32)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) a)) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) a) |
(+.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (/.f32 #s(literal -1/2 binary32) a)) (*.f32 b (/.f32 #s(literal -1/2 binary32) a))) |
(+.f32 (*.f32 b (/.f32 #s(literal -1/2 binary32) a)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (/.f32 #s(literal -1/2 binary32) a))) |
(+.f32 (*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) #s(literal -1/2 binary32)) (*.f32 (/.f32 b a) #s(literal -1/2 binary32))) |
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(+.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) a) b) (*.f32 (/.f32 #s(literal -1/2 binary32) a) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
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(/.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 (*.f32 (*.f32 c a) (*.f32 c a)) #s(literal 16 binary32))))) (sqrt.f32 (neg.f32 (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))))) |
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)) (*.f32 (*.f32 (*.f32 (*.f32 a a) a) #s(literal 64 binary32)) (*.f32 (*.f32 c c) c))))) (sqrt.f32 (neg.f32 (+.f32 (*.f32 (*.f32 (*.f32 a #s(literal 4 binary32)) c) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) (*.f32 (*.f32 (*.f32 b b) b) b))))) |
(/.f32 (sqrt.f32 (-.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 (*.f32 (*.f32 c a) (*.f32 c a)) #s(literal 16 binary32)))) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a))))) |
(/.f32 (sqrt.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)) (*.f32 (*.f32 (*.f32 (*.f32 a a) a) #s(literal 64 binary32)) (*.f32 (*.f32 c c) c)))) (sqrt.f32 (+.f32 (*.f32 (*.f32 (*.f32 a #s(literal 4 binary32)) c) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) (*.f32 (*.f32 (*.f32 b b) b) b)))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) |
(fabs.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(fabs.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (-.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (*.f32 (*.f32 b b) b)))) (/.f32 (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)))) (/.f32 (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (neg.f32 b)) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (-.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (*.f32 (*.f32 b b) b)))) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (neg.f32 b)) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)))) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(*.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) |
(*.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) (neg.f32 (neg.f32 (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (neg.f32 (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 b b) b) (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (*.f32 (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (*.f32 (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(/.f32 (-.f32 (*.f32 (*.f32 b b) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (neg.f32 (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (neg.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) |
(/.f32 (-.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) |
(-.f32 (/.f32 (*.f32 (*.f32 b b) b) (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (/.f32 (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(-.f32 (/.f32 (*.f32 b b) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (/.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) |
(+.f32 (/.f32 (*.f32 b b) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (/.f32 (*.f32 (neg.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(*.f32 (/.f32 (neg.f32 c) (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)))) (/.f32 #s(literal 2 binary32) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(*.f32 (/.f32 (neg.f32 c) (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) (/.f32 #s(literal 2 binary32) (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(*.f32 (/.f32 #s(literal -2 binary32) (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)))) (/.f32 c (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(*.f32 (/.f32 #s(literal -2 binary32) (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) (/.f32 c (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(*.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)))) (/.f32 (neg.f32 c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(*.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) (/.f32 (neg.f32 c) (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(*.f32 (/.f32 c (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)))) (/.f32 #s(literal -2 binary32) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b))) |
(*.f32 (/.f32 c (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (+.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) (/.f32 #s(literal -2 binary32) (+.f32 (*.f32 b (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(*.f32 (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) |
(*.f32 (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 (*.f32 (*.f32 b b) b) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (+.f32 (*.f32 b (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) |
(*.f32 (/.f32 c (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) #s(literal -2 binary32)) |
(*.f32 #s(literal -2 binary32) (/.f32 c (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) |
(*.f32 c (/.f32 #s(literal -2 binary32) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) |
(/.f32 (*.f32 #s(literal -2 binary32) c) (neg.f32 (neg.f32 (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))))) |
(/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (neg.f32 (neg.f32 (neg.f32 (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))))) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (neg.f32 (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) |
(+.f32 (/.f32 (neg.f32 c) (neg.f32 (neg.f32 (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))))) (/.f32 (neg.f32 c) (neg.f32 (neg.f32 (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))))) |
(+.f32 (/.f32 c (neg.f32 (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) (/.f32 c (neg.f32 (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))))) |
(+.f32 (/.f32 (neg.f32 c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) (/.f32 (neg.f32 c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) |
(neg.f32 (/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))))) |
#s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (-.f32 (*.f32 (*.f32 (/.f32 c (*.f32 b b)) a) #s(literal 2 binary32)) #s(literal 2 binary32)) (neg.f32 b))) |
(/.f32 (neg.f32 (/.f32 c (neg.f32 b))) (neg.f32 (neg.f32 b))) |
(/.f32 (neg.f32 (neg.f32 (/.f32 c b))) (neg.f32 (neg.f32 b))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 c))) (*.f32 (neg.f32 b) b)) |
(/.f32 (/.f32 c (neg.f32 b)) (neg.f32 b)) |
(/.f32 (neg.f32 (/.f32 c b)) (neg.f32 b)) |
(/.f32 (neg.f32 (neg.f32 c)) (*.f32 b b)) |
(/.f32 (/.f32 c b) b) |
(/.f32 (neg.f32 c) (*.f32 (neg.f32 b) b)) |
(/.f32 c (*.f32 b b)) |
(neg.f32 (/.f32 c (*.f32 (neg.f32 b) b))) |
Compiled 123 431 to 5 580 computations (95.5% saved)
21 alts after pruning (18 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 170 | 14 | 1 184 |
| Fresh | 9 | 4 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 181 | 21 | 1 202 |
| Status | Accuracy | Program |
|---|---|---|
| 40.5% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 b (*.f32 #s(literal -2 binary32) a)) (/.f32 a c)) (*.f32 (/.f32 b (*.f32 #s(literal -2 binary32) a)) (/.f32 a c))) (*.f32 (*.f32 (*.f32 (/.f32 c c) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (*.f32 #s(literal 2 binary32) a))) (*.f32 (*.f32 (/.f32 c c) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (*.f32 #s(literal 2 binary32) a))))) (/.f32 (-.f32 (*.f32 a b) (*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) c))) (*.f32 (*.f32 #s(literal -2 binary32) c) a))) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) | |
| ▶ | 69.9% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b))))) |
| ✓ | 39.1% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) #s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32)))))) |
| 40.0% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (*.f32 c (/.f32 #s(literal -2 binary32) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))))) | |
| 45.9% | (if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (* (* -2 c) a)) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 b (*.f32 (-.f32 (/.f32 b c) (*.f32 (/.f32 c b) #s(literal 2 binary32))) a))) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) | |
| ✓ | 38.1% | (if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) |
| 4.4% | (if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) #s(approx (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 c a))))) | |
| 30.3% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) a) #s(literal -1/2 binary32))) | |
| 26.6% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) a)) #s(literal -1/2 binary32))) | |
| 51.0% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (*.f32 (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) b) a) #s(literal -1/2 binary32))) | |
| 52.2% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) a) #s(literal -1/2 binary32))) | |
| 47.6% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (-.f32 (/.f32 (*.f32 b b) c) (*.f32 a #s(literal 4 binary32))) c))) b) a) #s(literal -1/2 binary32))) | |
| ▶ | 37.2% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) #s(literal -1/2 binary32))) |
| 27.9% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b) a) #s(literal -1/2 binary32))) | |
| 37.2% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))) | |
| ▶ | 51.6% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) #s(literal -1/2 binary32))) |
| 28.9% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (/.f32 (*.f32 c c) b) (/.f32 a b)) c)) (neg.f32 b))) #s(literal -1/2 binary32))) | |
| 37.3% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) (/.f32 b a)))) #s(literal -1/2 binary32))) | |
| ▶ | 35.4% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
| ✓ | 71.1% | #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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
| ▶ | 51.5% | #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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
Compiled 2 889 to 1 485 computations (48.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) | |
| cost-diff | 0 | (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) | |
| cost-diff | 0 | (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) #s(literal -1/2 binary32)) | |
| cost-diff | 0 | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) #s(literal -1/2 binary32))) | |
| cost-diff | 0 | (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) | |
| cost-diff | 0 | (*.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) #s(literal -1/2 binary32)) | |
| cost-diff | 0 | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) #s(literal -1/2 binary32))) | |
| cost-diff | 2 | (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) | |
| cost-diff | 0 | (+.f32 c c) | |
| cost-diff | 0 | (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) | |
| cost-diff | 0 | #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) | |
| cost-diff | 0 | #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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) | |
| cost-diff | 0 | (*.f32 (/.f32 c b) #s(literal 2 binary32)) | |
| cost-diff | 0 | #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) | |
| cost-diff | 0 | (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32)) | |
| cost-diff | 0 | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) | |
| cost-diff | 0 | (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) | |
| cost-diff | 0 | (>=.f32 b #s(literal 0 binary32)) | |
| cost-diff | 0 | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b))))) | |
| cost-diff | 1 | (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 1043 |
| 0 | 152 | 1037 |
| 1 | 269 | 1037 |
| 2 | 582 | 1033 |
| 3 | 1849 | 999 |
| 4 | 6529 | 992 |
| 0 | 8277 | 992 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b))))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) |
(-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(neg.f32 b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) |
(*.f32 b b) |
(*.f32 (*.f32 #s(literal 4 binary32) a) c) |
(*.f32 #s(literal 4 binary32) a) |
#s(literal 4 binary32) |
a |
c |
(*.f32 #s(literal 2 binary32) a) |
#s(literal 2 binary32) |
(/.f32 (*.f32 #s(literal 2 binary32) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b)))) |
(*.f32 #s(literal 2 binary32) c) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b))) |
(*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b)) |
(-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) |
(*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32)) |
(*.f32 a (/.f32 (/.f32 c b) b)) |
(/.f32 (/.f32 c b) b) |
(/.f32 c b) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
(*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) |
(*.f32 (/.f32 c b) #s(literal 2 binary32)) |
(/.f32 c b) |
c |
b |
#s(literal 2 binary32) |
#s(literal -1/2 binary32) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
#s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(+.f32 c c) |
c |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(*.f32 b b) |
b |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 c a) |
a |
#s(literal 4 binary32) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) #s(literal -1/2 binary32))) |
(*.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) #s(literal -1/2 binary32)) |
(+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) |
(/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) |
(*.f32 b b) |
b |
(*.f32 (*.f32 a #s(literal 4 binary32)) c) |
(*.f32 a #s(literal 4 binary32)) |
a |
#s(literal 4 binary32) |
c |
(/.f32 b a) |
#s(literal -1/2 binary32) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) #s(literal -1/2 binary32)) |
(/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) |
(+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) |
(sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) |
#s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b))) |
(*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)) |
(+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) |
(*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) |
(*.f32 a (/.f32 c (*.f32 b b))) |
a |
(/.f32 c (*.f32 b b)) |
c |
(*.f32 b b) |
b |
#s(literal -4 binary32) |
#s(literal 1 binary32) |
#s(literal -1/2 binary32) |
| Outputs |
|---|
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 (/.f32 a b) b) c)) (*.f32 #s(literal 2 binary32) b))))) |
(>=.f32 b #s(literal 0 binary32)) |
b |
#s(literal 0 binary32) |
(/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) |
(/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) (*.f32 #s(literal 2 binary32) a)) |
(-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) |
(neg.f32 b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(*.f32 b b) |
(*.f32 (*.f32 #s(literal 4 binary32) a) c) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 #s(literal 4 binary32) a) |
(*.f32 a #s(literal 4 binary32)) |
#s(literal 4 binary32) |
a |
c |
(*.f32 #s(literal 2 binary32) a) |
#s(literal 2 binary32) |
(/.f32 (*.f32 #s(literal 2 binary32) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b)))) |
(/.f32 (*.f32 #s(literal 2 binary32) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 (/.f32 a b) b) c)) (*.f32 #s(literal 2 binary32) b)))) |
(*.f32 #s(literal 2 binary32) c) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 (/.f32 a b) b) c)) (*.f32 #s(literal 2 binary32) b))) |
(*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b)) |
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 (/.f32 a b) b) c)) (*.f32 #s(literal 2 binary32) b)) |
(-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) |
(+.f32 #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 #s(literal -2 binary32) (/.f32 a b)) b) c)) |
(*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32)) |
(*.f32 (/.f32 (/.f32 #s(literal 2 binary32) b) b) (*.f32 c a)) |
(*.f32 a (/.f32 (/.f32 c b) b)) |
(*.f32 (/.f32 (/.f32 a b) b) c) |
(/.f32 (/.f32 c b) b) |
(/.f32 c b) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(literal -1/2 binary32) #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))))) |
(*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32)) |
(*.f32 #s(literal -1/2 binary32) #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32)))) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) |
(*.f32 (/.f32 c b) #s(literal 2 binary32)) |
(/.f32 c b) |
c |
b |
#s(literal 2 binary32) |
#s(literal -1/2 binary32) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
#s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
#s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(+.f32 c c) |
(*.f32 #s(literal 2 binary32) c) |
c |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(*.f32 b b) |
b |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 c a) |
a |
#s(literal 4 binary32) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(*.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) #s(literal -1/2 binary32)) |
(*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) |
(/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) |
(/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) |
(/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) a) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(*.f32 b b) |
b |
(*.f32 (*.f32 a #s(literal 4 binary32)) c) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 a #s(literal 4 binary32)) |
a |
#s(literal 4 binary32) |
c |
(/.f32 b a) |
#s(literal -1/2 binary32) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 a b) #s(literal 4 binary32)) (/.f32 c b))) (*.f32 b b)))) b))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) #s(literal -1/2 binary32)) |
(*.f32 (/.f32 #s(literal -1/2 binary32) a) (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 a b) #s(literal 4 binary32)) (/.f32 c b))) (*.f32 b b)))) b)) |
(/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) |
(/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 a b) #s(literal 4 binary32)) (/.f32 c b))) (*.f32 b b)))) b) a) |
(+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) |
(+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 a b) #s(literal 4 binary32)) (/.f32 c b))) (*.f32 b b)))) b) |
(sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) |
(sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 a b) #s(literal 4 binary32)) (/.f32 c b))) (*.f32 b b)))) |
#s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b))) |
#s(approx (- (* b b) (* (* c a) 4)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 a b) #s(literal 4 binary32)) (/.f32 c b))) (*.f32 b b))) |
(*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 a b) #s(literal 4 binary32)) (/.f32 c b))) (*.f32 b b)) |
(+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 a b) #s(literal 4 binary32)) (/.f32 c b))) |
(*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) |
(*.f32 (/.f32 (/.f32 #s(literal -4 binary32) b) b) (*.f32 c a)) |
(*.f32 a (/.f32 c (*.f32 b b))) |
(*.f32 (/.f32 (/.f32 a b) b) c) |
a |
(/.f32 c (*.f32 b b)) |
(/.f32 (/.f32 c b) b) |
c |
(*.f32 b b) |
b |
#s(literal -4 binary32) |
#s(literal 1 binary32) |
#s(literal -1/2 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.5471818850052133 | (/.f32 c (*.f32 b b)) | |
| accuracy | 4.296330927160446 | (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)) | |
| accuracy | 6.139450719906899 | (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) | |
| accuracy | 11.896373382165462 | (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) | |
| accuracy | 0.22817189494238926 | (*.f32 (*.f32 a #s(literal 4 binary32)) c) | |
| accuracy | 0.3789062553744572 | (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) | |
| accuracy | 7.816387995206495 | (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) | |
| accuracy | 0.3789062553744572 | (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) | |
| accuracy | 1.5646697628752342 | (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) | |
| accuracy | 6.218133280785128 | (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) | |
| accuracy | 0.0 | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) | |
| accuracy | 0.04296875 | (*.f32 (/.f32 c b) #s(literal 2 binary32)) | |
| accuracy | 0.09525217336988437 | (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32)) | |
| accuracy | 20.66125448912909 | #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) | |
| accuracy | 3.2081553709973436 | (*.f32 a (/.f32 (/.f32 c b) b)) | |
| accuracy | 6.139450719906899 | (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) | |
| accuracy | 11.896373382165462 | (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) | |
| accuracy | 20.57048566090494 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b))) |
| 147.0ms | 146× | 1 | valid |
| 49.0ms | 110× | 0 | valid |
Compiled 748 to 70 computations (90.6% saved)
ival-div: 47.0ms (32.4% of total)ival-mult: 42.0ms (28.9% of total)ival-sub: 17.0ms (11.7% of total)adjust: 15.0ms (10.3% of total)ival-sqrt: 10.0ms (6.9% of total)ival-add: 7.0ms (4.8% of total)ival-if: 5.0ms (3.4% 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 |
|---|
(*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b)) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b))))) |
(>=.f32 b #s(literal 0 binary32)) |
(/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
(*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) |
(*.f32 (/.f32 c b) #s(literal 2 binary32)) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
#s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(+.f32 c c) |
(+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) #s(literal -1/2 binary32))) |
(*.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) #s(literal -1/2 binary32)) |
(/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) #s(literal -1/2 binary32)) |
(/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) |
(+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
(-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(*.f32 a (/.f32 (/.f32 c b) b)) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) |
(*.f32 (*.f32 a #s(literal 4 binary32)) c) |
(sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) |
(*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)) |
(/.f32 c (*.f32 b b)) |
| Outputs |
|---|
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* 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) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a))) |
(* 2 (/ b a)) |
(/ (+ (* -2 (/ (* a c) b)) (* 2 b)) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a) |
(if (>= b 0) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(/ (+ (* -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) |
(/ b a) |
(/ (+ b (* -2 (/ (* a c) b))) a) |
(/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 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 (* -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)) (* 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)) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 4 (* a c)) |
(* 2 (/ (* a 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))))))) |
(* (sqrt (/ c a)) (sqrt -4)) |
(+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b 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 (* (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) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -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)))) |
(+ (* -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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* 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 (+ (* -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 (+ (* 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))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (+ (* -4 c) (/ (pow b 2) 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))) |
(* -2 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) a))) |
(* -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 (/ c a)) (sqrt -1))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (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 (* 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)))))) |
(* -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)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(>= b 0) |
(+ (* -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))))) |
(+ (* b (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -4))) |
(* 2 (/ c b)) |
(+ (* 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 (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+ 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))) |
(+ (* -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 (/ 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) (* (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))) |
(- (pow b 2) (* 4 (* a c))) |
(/ c (pow b 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* 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))) |
(* b (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))) |
(* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 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))) |
(* b (+ (* -2 (/ c (pow b 2))) (/ 1 a))) |
(* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 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)) (* -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 (+ 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 (- (* 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))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (* b (+ 2 (* -2 (/ (* 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))))) |
(* -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 (- (pow b 2) (* 4 (* a c))))) a)) (* -1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a))) |
(* -1 (/ (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (+ (* -2 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(if (>= b 0) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 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)) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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 (/ (+ (* -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)) |
(* -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 (/ (- (* 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)) (/ 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 (/ c b)) (* 2 (/ b a))) |
(+ (* 2 (/ b a)) (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b))))) |
(+ (* 2 (/ b a)) (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 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 c) |
(+ (* -2 (/ c b)) (/ b a)) |
(+ (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) (/ b a)) |
(+ (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) (/ b a)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* 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 (* 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)))))))) |
(- (* 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)) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* 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 (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c)))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c)))))) |
(- (+ (* -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)))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* 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))))) |
(* 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))) |
(* 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)))))) |
(* 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))))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -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))))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* a c))) (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))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* 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 (* 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)))))) |
(* -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 (* 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 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | c | @ | 0 | ((* (- 2 (* (* a (/ (/ c b) b)) 2)) (neg b)) (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) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (* (/ c b) 2) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/ (+ c c) (- (sqrt (- (* b b) (* (* c a) 4))) b)) (+ c c) (+ (/ (sqrt (- (* b b) (* (* a 4) c))) a) (/ b a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (+ (/ (sqrt (- (* b b) (* (* a 4) c))) a) (/ b a)) -1/2) (/ (sqrt (- (* b b) (* (* a 4) c))) a) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (+ (sqrt (- (* b b) (* (* c a) 4))) 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 (- (* b b) (* (* c a) 4))) (- (sqrt (- (* b b) (* (* c a) 4))) b) (- (* b b) (* (* c a) 4)) (sqrt (- (* b b) (* (* a 4) c))) (- (* b b) (* (* a 4) c)) (* (* a 4) c) (sqrt (- (* b b) (* (* c a) 4))) (* (+ (* (* a (/ c (* b b))) -4) 1) (* b b)) (/ c (* b b))) |
| 5.0ms | c | @ | -inf | ((* (- 2 (* (* a (/ (/ c b) b)) 2)) (neg b)) (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) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (* (/ c b) 2) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/ (+ c c) (- (sqrt (- (* b b) (* (* c a) 4))) b)) (+ c c) (+ (/ (sqrt (- (* b b) (* (* a 4) c))) a) (/ b a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (+ (/ (sqrt (- (* b b) (* (* a 4) c))) a) (/ b a)) -1/2) (/ (sqrt (- (* b b) (* (* a 4) c))) a) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (+ (sqrt (- (* b b) (* (* c a) 4))) 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 (- (* b b) (* (* c a) 4))) (- (sqrt (- (* b b) (* (* c a) 4))) b) (- (* b b) (* (* c a) 4)) (sqrt (- (* b b) (* (* a 4) c))) (- (* b b) (* (* a 4) c)) (* (* a 4) c) (sqrt (- (* b b) (* (* c a) 4))) (* (+ (* (* a (/ c (* b b))) -4) 1) (* b b)) (/ c (* b b))) |
| 5.0ms | c | @ | inf | ((* (- 2 (* (* a (/ (/ c b) b)) 2)) (neg b)) (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) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (* (/ c b) 2) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/ (+ c c) (- (sqrt (- (* b b) (* (* c a) 4))) b)) (+ c c) (+ (/ (sqrt (- (* b b) (* (* a 4) c))) a) (/ b a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (+ (/ (sqrt (- (* b b) (* (* a 4) c))) a) (/ b a)) -1/2) (/ (sqrt (- (* b b) (* (* a 4) c))) a) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (+ (sqrt (- (* b b) (* (* c a) 4))) 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 (- (* b b) (* (* c a) 4))) (- (sqrt (- (* b b) (* (* c a) 4))) b) (- (* b b) (* (* c a) 4)) (sqrt (- (* b b) (* (* a 4) c))) (- (* b b) (* (* a 4) c)) (* (* a 4) c) (sqrt (- (* b b) (* (* c a) 4))) (* (+ (* (* a (/ c (* b b))) -4) 1) (* b b)) (/ c (* b b))) |
| 5.0ms | a | @ | -inf | ((* (- 2 (* (* a (/ (/ c b) b)) 2)) (neg b)) (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) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (* (/ c b) 2) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/ (+ c c) (- (sqrt (- (* b b) (* (* c a) 4))) b)) (+ c c) (+ (/ (sqrt (- (* b b) (* (* a 4) c))) a) (/ b a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (+ (/ (sqrt (- (* b b) (* (* a 4) c))) a) (/ b a)) -1/2) (/ (sqrt (- (* b b) (* (* a 4) c))) a) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (+ (sqrt (- (* b b) (* (* c a) 4))) 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 (- (* b b) (* (* c a) 4))) (- (sqrt (- (* b b) (* (* c a) 4))) b) (- (* b b) (* (* c a) 4)) (sqrt (- (* b b) (* (* a 4) c))) (- (* b b) (* (* a 4) c)) (* (* a 4) c) (sqrt (- (* b b) (* (* c a) 4))) (* (+ (* (* a (/ c (* b b))) -4) 1) (* b b)) (/ c (* b b))) |
| 4.0ms | b | @ | 0 | ((* (- 2 (* (* a (/ (/ c b) b)) 2)) (neg b)) (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) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (* (/ c b) 2) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))))) (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/ (+ c c) (- (sqrt (- (* b b) (* (* c a) 4))) b)) (+ c c) (+ (/ (sqrt (- (* b b) (* (* a 4) c))) a) (/ b a)) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (+ (/ (sqrt (- (* b b) (* (* a 4) c))) a) (/ b a)) -1/2) (/ (sqrt (- (* b b) (* (* a 4) c))) a) (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (+ (sqrt (- (* b b) (* (* c a) 4))) 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 (- (* b b) (* (* c a) 4))) (- (sqrt (- (* b b) (* (* c a) 4))) b) (- (* b b) (* (* c a) 4)) (sqrt (- (* b b) (* (* a 4) c))) (- (* b b) (* (* a 4) c)) (* (* a 4) c) (sqrt (- (* b b) (* (* c a) 4))) (* (+ (* (* a (/ c (* b b))) -4) 1) (* b b)) (/ c (* b b))) |
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1152 | 7556 |
| 1 | 4170 | 7515 |
| 0 | 9097 | 7515 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* 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) |
(if (>= b 0) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a)) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a))) |
(* 2 (/ b a)) |
(/ (+ (* -2 (/ (* a c) b)) (* 2 b)) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a) |
(if (>= b 0) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(/ (+ (* -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) |
(/ b a) |
(/ (+ b (* -2 (/ (* a c) b))) a) |
(/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 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 (* -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)) (* 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)) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 4 (* a c)) |
(* 2 (/ (* a 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))))))) |
(* (sqrt (/ c a)) (sqrt -4)) |
(+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b 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 (* (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) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -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)))) |
(+ (* -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 (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* 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 (+ (* -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 (+ (* 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))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (+ (* -4 c) (/ (pow b 2) 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))) |
(* -2 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a))) a))) |
(* -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 (/ c a)) (sqrt -1))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (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 (* 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)))))) |
(* -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)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(>= b 0) |
(+ (* -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))))) |
(+ (* b (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* b (+ (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -4))) |
(* 2 (/ c b)) |
(+ (* 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 (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (/ c a)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+ 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))) |
(+ (* -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 (/ 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) (* (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))) |
(- (pow b 2) (* 4 (* a c))) |
(/ c (pow b 2)) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* 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))) |
(* b (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))) |
(* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 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))) |
(* b (+ (* -2 (/ c (pow b 2))) (/ 1 a))) |
(* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 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)) (* -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 (+ 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 (- (* 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))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (* b (+ 2 (* -2 (/ (* 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))))) |
(* -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 (- (pow b 2) (* 4 (* a c))))) a)) (* -1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a))) |
(* -1 (/ (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (+ (* -2 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(if (>= b 0) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)))) (* 2 (/ c (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 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)) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) 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 (/ (+ (* -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)) |
(* -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 (/ (- (* 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)) (/ 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 (/ c b)) (* 2 (/ b a))) |
(+ (* 2 (/ b a)) (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b))))) |
(+ (* 2 (/ b a)) (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 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 c) |
(+ (* -2 (/ c b)) (/ b a)) |
(+ (* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) (/ b a)) |
(+ (* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) (/ b a)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* 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 (* 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)))))))) |
(- (* 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)) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* 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 (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c)))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ 1 (* a c))) (sqrt -4)) (/ b (* a c)))))) |
(- (+ (* -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)))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* 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))))) |
(* 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))) |
(* 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)))))) |
(* 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))))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -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))))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* a c))) (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))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* 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 (* 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)))))) |
(* -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 (* 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 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
| Outputs |
|---|
(* -2 b) |
(*.f32 #s(literal -2 binary32) b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(*.f32 #s(literal 2 binary32) (-.f32 (/.f32 (*.f32 c a) 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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(* -1 (/ b a)) |
(/.f32 (neg.f32 b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f32 (+.f32 (neg.f32 b) (/.f32 (*.f32 c a) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (/.f32 a (*.f32 b b)) (/.f32 (*.f32 c c) b)) (/.f32 c b)) a) (neg.f32 b)) 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 (- (pow b 2) (* 4 (* a c))))) a)) (* -1/2 (/ (+ b (sqrt (- (pow b 2) (* 4 (* a c))))) a))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) |
(* 2 (/ b a)) |
(*.f32 (/.f32 b a) #s(literal 2 binary32)) |
(/ (+ (* -2 (/ (* a c) b)) (* 2 b)) a) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 c a) b) #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) b)) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/.f32 (+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (/.f32 a (*.f32 b b)) (/.f32 (*.f32 c c) b)) (/.f32 c b))) a) (*.f32 #s(literal 2 binary32) b)) a) |
(/ (+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a) |
(if (>= b 0) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b))) (* 2 (/ c (- (sqrt (- (pow b 2) (* 4 (* a c)))) b)))) |
(/.f32 (*.f32 #s(literal 2 binary32) c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/.f32 (+.f32 (*.f32 (+.f32 (*.f32 (*.f32 #s(literal -2 binary32) a) (*.f32 (*.f32 (/.f32 c (*.f32 b b)) (/.f32 c b)) #s(literal -1/2 binary32))) (/.f32 c b)) a) (neg.f32 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) |
(/ b a) |
(/.f32 b a) |
(/ (+ b (* -2 (/ (* a c) b))) a) |
(/.f32 (-.f32 b (*.f32 (/.f32 (*.f32 c a) b) #s(literal 2 binary32))) a) |
(/ (+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/.f32 (+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (/.f32 a (*.f32 b b)) (/.f32 (*.f32 c c) b)) (/.f32 c b))) a) b) a) |
(/ (+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) a) |
(* 2 b) |
(*.f32 #s(literal 2 binary32) b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(-.f32 (*.f32 (/.f32 (*.f32 c a) b) #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (/.f32 a (*.f32 b b)) (/.f32 (*.f32 c c) b)) (/.f32 c b))) a) (*.f32 #s(literal 2 binary32) b)) |
(+ (* 2 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)) |
(*.f32 (/.f32 (*.f32 c a) b) #s(literal -2 binary32)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (/.f32 a (*.f32 b b)) (/.f32 (*.f32 c c) b)) (/.f32 c b))) a) |
(* 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))) |
(-.f32 b (*.f32 (/.f32 (*.f32 c a) b) #s(literal 2 binary32))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (/.f32 a (*.f32 b b)) (/.f32 (*.f32 c c) b)) (/.f32 c b))) a) b) |
(+ 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)) (* 2 b)) |
(*.f32 #s(literal 2 binary32) (-.f32 (/.f32 (*.f32 c a) b) b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(-.f32 (*.f32 (-.f32 (*.f32 (/.f32 #s(literal 2 binary32) (*.f32 b b)) (/.f32 (*.f32 (*.f32 c c) a) b)) (*.f32 (/.f32 c b) #s(literal -2 binary32))) a) (*.f32 #s(literal 2 binary32) 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)) |
(*.f32 (/.f32 a b) (/.f32 c b)) |
(pow b 2) |
(*.f32 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(* 4 (* a c)) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(* 2 (/ (* a c) b)) |
(*.f32 (/.f32 (*.f32 c a) b) #s(literal 2 binary32)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(*.f32 (-.f32 (*.f32 (/.f32 b a) #s(literal -2 binary32)) (*.f32 (/.f32 c b) #s(literal -2 binary32))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f32 (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) #s(literal -1/2 binary32)) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) (/.f32 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)))))) |
(+.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) (/.f32 b a))) (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 a a) a)) c))) (/.f32 (*.f32 b b) (sqrt.f32 #s(literal -4 binary32))))) |
(+ (* -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))))))) |
(* (sqrt (/ c a)) (sqrt -4)) |
(*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) |
(+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)) |
(+.f32 (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) (/.f32 b a)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 a a) a)) c))) (/.f32 (*.f32 b b) (sqrt.f32 #s(literal -4 binary32)))) (+.f32 (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) (/.f32 b 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 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -4 binary32))) (sqrt.f32 (/.f32 c a))) #s(literal 2 binary32)) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 (sqrt.f32 (*.f32 c a)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -4 binary32)))) (/.f32 b #s(literal -4 binary32)))) 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) |
(/.f32 (+.f32 (*.f32 (/.f32 #s(literal -2 binary32) a) (/.f32 (*.f32 (*.f32 (*.f32 (/.f32 b #s(literal -4 binary32)) (/.f32 b (sqrt.f32 #s(literal -4 binary32)))) (sqrt.f32 (/.f32 (*.f32 (*.f32 a a) a) c))) #s(literal -1/2 binary32)) a)) (*.f32 #s(literal 2 binary32) (+.f32 (*.f32 (sqrt.f32 (*.f32 c a)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -4 binary32)))) (/.f32 b #s(literal -4 binary32))))) 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) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) |
(+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 a a) a)) c))) (/.f32 (*.f32 b b) (sqrt.f32 #s(literal -4 binary32)))) (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c 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)))) |
(+ (* -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)) |
(*.f32 (sqrt.f32 (*.f32 c a)) (sqrt.f32 #s(literal -4 binary32))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(*.f32 (+.f32 (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) (/.f32 b a)) a) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(*.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 a a) a)) c))) (/.f32 (*.f32 b b) (sqrt.f32 #s(literal -4 binary32)))) (+.f32 (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) (/.f32 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))))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f32 (+.f32 (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) (/.f32 (neg.f32 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 a a) a)) c))) (/.f32 (*.f32 b b) (sqrt.f32 #s(literal -4 binary32)))) (-.f32 (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) (/.f32 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))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 a a) a)) c))) (/.f32 (*.f32 b b) (sqrt.f32 #s(literal -4 binary32)))) (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 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))))) |
(* 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))) |
(*.f32 (neg.f32 (sqrt.f32 #s(literal -4 binary32))) (sqrt.f32 (*.f32 c a))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f32 (-.f32 (/.f32 (neg.f32 b) a) (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a)))) a) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 a a) a)) c))) (/.f32 (*.f32 b b) (sqrt.f32 #s(literal -4 binary32)))) (+.f32 (*.f32 (sqrt.f32 #s(literal -4 binary32)) (sqrt.f32 (/.f32 c a))) (/.f32 b a))) a) |
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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))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f32 (+.f32 (/.f32 (neg.f32 b) c) (*.f32 (sqrt.f32 (/.f32 a c)) (sqrt.f32 #s(literal -4 binary32)))) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f32 (-.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 c c) c) a)))) (/.f32 (*.f32 b b) (sqrt.f32 #s(literal -4 binary32)))) (*.f32 (sqrt.f32 (/.f32 a c)) (sqrt.f32 #s(literal -4 binary32)))) (/.f32 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))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 c c) c) a)))) (/.f32 (*.f32 b b) (sqrt.f32 #s(literal -4 binary32)))) (*.f32 (sqrt.f32 (/.f32 a c)) (sqrt.f32 #s(literal -4 binary32)))) 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))))) |
(* 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)))))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f32 (-.f32 (/.f32 (neg.f32 b) c) (*.f32 (sqrt.f32 (/.f32 a c)) (sqrt.f32 #s(literal -4 binary32)))) c) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(*.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 c c) c) a)))) (/.f32 (*.f32 b b) (sqrt.f32 #s(literal -4 binary32)))) (+.f32 (*.f32 (sqrt.f32 (/.f32 a c)) (sqrt.f32 #s(literal -4 binary32))) (/.f32 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))))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f32 (-.f32 (/.f32 (*.f32 b b) c) (*.f32 #s(literal 4 binary32) a)) c) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f32 (-.f32 (/.f32 (*.f32 b b) c) (*.f32 #s(literal 4 binary32) a)) c) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(*.f32 (neg.f32 c) (-.f32 (*.f32 (/.f32 a b) #s(literal -2 binary32)) (*.f32 (/.f32 b c) #s(literal -2 binary32)))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f32 (neg.f32 c) (-.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a)))) (*.f32 (/.f32 (/.f32 b a) c) #s(literal -1/2 binary32)))) |
(* -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))))) |
(*.f32 (neg.f32 c) (neg.f32 (+.f32 (/.f32 (-.f32 (*.f32 (/.f32 b a) #s(literal -1/2 binary32)) (*.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 a a) a)) c))))) c) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a))) (sqrt.f32 #s(literal -1 binary32)))))) |
(* -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))))) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (+.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 2 binary32)) (/.f32 (neg.f32 b) (*.f32 c a)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 a a) a)) c))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) (/.f32 b a)) (neg.f32 c)) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a))) (sqrt.f32 #s(literal -1 binary32)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (/ b a)) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(-.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 c a))) (*.f32 #s(literal 1/2 binary32) (/.f32 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))) |
(neg.f32 (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 c (*.f32 (*.f32 a a) a))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) #s(literal 1/8 binary32)) (*.f32 (*.f32 b (/.f32 c a)) #s(literal -1/2 binary32))) c) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 c a))))) |
(+ (* -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))) |
(neg.f32 (+.f32 (/.f32 (-.f32 (/.f32 (-.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a)))) (*.f32 (*.f32 b (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 c c) a) (/.f32 c (*.f32 a a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) #s(literal 1/8 binary32)))) (*.f32 (/.f32 #s(literal -1/16 binary32) a) (/.f32 (*.f32 (*.f32 (*.f32 b b) b) c) a))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (/.f32 (*.f32 c c) a) (/.f32 c (*.f32 a a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) #s(literal 1/8 binary32))) (neg.f32 c)) (*.f32 (*.f32 b (/.f32 c a)) #s(literal -1/2 binary32))) c) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 c a))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 a a) a) (*.f32 (*.f32 c c) c))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a))) (sqrt.f32 #s(literal -1 binary32)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (neg.f32 b) c) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (-.f32 b (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b)))) (neg.f32 c)) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))))) |
(* -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 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f32 (neg.f32 c) (+.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c))) #s(literal 2 binary32)) (/.f32 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) b) (neg.f32 c)) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))))) |
(* -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 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 c c) c) a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) (*.f32 #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c)))))) |
(* -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 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 b c) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c))) #s(literal 2 binary32)))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 c a)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 b b))) b) (neg.f32 c)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 a c))) #s(literal 2 binary32)))) |
(* -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 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (*.f32 (neg.f32 b) b) c) (*.f32 #s(literal -4 binary32) a))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f32 (neg.f32 c) (-.f32 (/.f32 (*.f32 (neg.f32 b) b) c) (*.f32 #s(literal -4 binary32) a))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 852 |
| 0 | 150 | 846 |
| 1 | 501 | 776 |
| 2 | 2673 | 776 |
| 0 | 8628 | 776 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b)) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b))))) |
(>=.f32 b #s(literal 0 binary32)) |
(/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
(*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32)) |
#s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) |
(*.f32 (/.f32 c b) #s(literal 2 binary32)) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
#s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b))) |
(/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) |
(+.f32 c c) |
(+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) #s(literal -1/2 binary32))) |
(*.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) #s(literal -1/2 binary32)) |
(/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) #s(literal -1/2 binary32)) |
(/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) |
(+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c))) |
(-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) |
(*.f32 a (/.f32 (/.f32 c b) b)) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) |
(*.f32 (*.f32 a #s(literal 4 binary32)) c) |
(sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) |
(*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)) |
(/.f32 c (*.f32 b b)) |
| Outputs |
|---|
(*.f32 (neg.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 c b) b) #s(literal 2 binary32)) a))) b) |
(*.f32 (neg.f32 b) (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 c b) b) #s(literal 2 binary32)) a))) |
(*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 (/.f32 (/.f32 c b) b) #s(literal 2 binary32)) a)) (neg.f32 b)) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 4 binary32) (*.f32 (*.f32 (*.f32 (/.f32 a b) (/.f32 c b)) (*.f32 (/.f32 a b) (/.f32 c b))) #s(literal 4 binary32))) (neg.f32 b))) (neg.f32 (+.f32 (*.f32 (*.f32 (/.f32 (/.f32 c b) b) #s(literal 2 binary32)) a) #s(literal 2 binary32)))) |
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(/.f32 (sqrt.f32 (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)) (*.f32 (*.f32 #s(literal 64 binary32) (*.f32 (*.f32 a a) a)) (*.f32 (*.f32 c c) c))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) (sqrt.f32 (+.f32 (*.f32 (*.f32 (*.f32 c a) #s(literal 4 binary32)) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) (*.f32 (*.f32 (*.f32 b b) b) b)))) |
(/.f32 (sqrt.f32 (*.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 (*.f32 (*.f32 c a) (*.f32 c a)) #s(literal 16 binary32))))) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a))))) |
(/.f32 (sqrt.f32 (*.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)) (*.f32 (*.f32 #s(literal 64 binary32) (*.f32 (*.f32 a a) a)) (*.f32 (*.f32 c c) c))))) (sqrt.f32 (+.f32 (*.f32 (*.f32 (*.f32 c a) #s(literal 4 binary32)) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) (*.f32 (*.f32 (*.f32 b b) b) b)))) |
(/.f32 (sqrt.f32 (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 (*.f32 (*.f32 c a) (*.f32 c a)) #s(literal 16 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 (*.f32 (*.f32 c a) (*.f32 c a)) #s(literal 16 binary32))))) (sqrt.f32 (*.f32 (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a))) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))))) |
(/.f32 (sqrt.f32 (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 (*.f32 (*.f32 c a) (*.f32 c a)) #s(literal 16 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)) (*.f32 (*.f32 #s(literal 64 binary32) (*.f32 (*.f32 a a) a)) (*.f32 (*.f32 c c) c))))) (sqrt.f32 (*.f32 (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a))) (+.f32 (*.f32 (*.f32 (*.f32 c a) #s(literal 4 binary32)) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) (*.f32 (*.f32 (*.f32 b b) b) b))))) |
(/.f32 (sqrt.f32 (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)) (*.f32 (*.f32 #s(literal 64 binary32) (*.f32 (*.f32 a a) a)) (*.f32 (*.f32 c c) c))) (-.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 (*.f32 (*.f32 c a) (*.f32 c a)) #s(literal 16 binary32))))) (sqrt.f32 (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 c a) #s(literal 4 binary32)) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) (*.f32 (*.f32 (*.f32 b b) b) b)) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))))) |
(/.f32 (sqrt.f32 (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)) (*.f32 (*.f32 #s(literal 64 binary32) (*.f32 (*.f32 a a) a)) (*.f32 (*.f32 c c) c))) (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)) (*.f32 (*.f32 #s(literal 64 binary32) (*.f32 (*.f32 a a) a)) (*.f32 (*.f32 c c) c))))) (sqrt.f32 (*.f32 (+.f32 (*.f32 (*.f32 (*.f32 c a) #s(literal 4 binary32)) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) (*.f32 (*.f32 (*.f32 b b) b) b)) (+.f32 (*.f32 (*.f32 (*.f32 c a) #s(literal 4 binary32)) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) (*.f32 (*.f32 (*.f32 b b) b) b))))) |
(/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)) (neg.f32 (*.f32 (*.f32 #s(literal 64 binary32) (*.f32 (*.f32 a a) a)) (*.f32 (*.f32 c c) c)))) (+.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (-.f32 (*.f32 (*.f32 (*.f32 c a) (*.f32 c a)) #s(literal 16 binary32)) (*.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal -4 binary32) a) c))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 (*.f32 (*.f32 c a) (*.f32 c a)) #s(literal 16 binary32)))) (neg.f32 (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)) (*.f32 (*.f32 #s(literal 64 binary32) (*.f32 (*.f32 a a) a)) (*.f32 (*.f32 c c) c)))) (neg.f32 (+.f32 (*.f32 (*.f32 (*.f32 c a) #s(literal 4 binary32)) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) (*.f32 (*.f32 (*.f32 b b) b) b)))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 (*.f32 (*.f32 c a) (*.f32 c a)) #s(literal 16 binary32))) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)) (*.f32 (*.f32 #s(literal 64 binary32) (*.f32 (*.f32 a a) a)) (*.f32 (*.f32 c c) c))) (+.f32 (*.f32 (*.f32 (*.f32 c a) #s(literal 4 binary32)) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) (*.f32 (*.f32 (*.f32 b b) b) b))) |
(sqrt.f32 (*.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) |
(-.f32 (/.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) (/.f32 (*.f32 (*.f32 (*.f32 c a) (*.f32 c a)) #s(literal 16 binary32)) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a))))) |
(-.f32 (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)) (+.f32 (*.f32 (*.f32 (*.f32 c a) #s(literal 4 binary32)) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) (*.f32 (*.f32 (*.f32 b b) b) b))) (/.f32 (*.f32 (*.f32 #s(literal 64 binary32) (*.f32 (*.f32 a a) a)) (*.f32 (*.f32 c c) c)) (+.f32 (*.f32 (*.f32 (*.f32 c a) #s(literal 4 binary32)) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) (*.f32 (*.f32 (*.f32 b b) b) b)))) |
(-.f32 (*.f32 b b) (*.f32 (neg.f32 (*.f32 #s(literal -4 binary32) a)) c)) |
(-.f32 (*.f32 b b) (*.f32 (neg.f32 (neg.f32 c)) (*.f32 #s(literal 4 binary32) a))) |
(-.f32 (*.f32 b b) (*.f32 (neg.f32 (*.f32 (neg.f32 c) a)) #s(literal 4 binary32))) |
(-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) |
(fabs.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 c a) (*.f32 c a)) #s(literal 16 binary32)) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) (/.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))))) |
(fabs.f32 (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 64 binary32) (*.f32 (*.f32 a a) a)) (*.f32 (*.f32 c c) c)) (+.f32 (*.f32 (*.f32 (*.f32 c a) #s(literal 4 binary32)) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) (*.f32 (*.f32 (*.f32 b b) b) b))) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)) (+.f32 (*.f32 (*.f32 (*.f32 c a) #s(literal 4 binary32)) (-.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) (*.f32 (*.f32 (*.f32 b b) b) b))))) |
(fabs.f32 (-.f32 (*.f32 (neg.f32 (*.f32 #s(literal -4 binary32) a)) c) (*.f32 b b))) |
(fabs.f32 (-.f32 (*.f32 (neg.f32 (neg.f32 c)) (*.f32 #s(literal 4 binary32) a)) (*.f32 b b))) |
(fabs.f32 (-.f32 (*.f32 (neg.f32 (*.f32 (neg.f32 c) a)) #s(literal 4 binary32)) (*.f32 b b))) |
(fabs.f32 (-.f32 (*.f32 (*.f32 c a) #s(literal 4 binary32)) (*.f32 b b))) |
(fabs.f32 (neg.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) |
(fabs.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) |
(+.f32 (*.f32 (*.f32 #s(literal -4 binary32) a) c) (*.f32 b b)) |
(+.f32 (*.f32 b b) (*.f32 #s(literal -4 binary32) (*.f32 c a))) |
(+.f32 (*.f32 b b) (*.f32 (neg.f32 a) (*.f32 #s(literal 4 binary32) c))) |
(+.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal -4 binary32) a) c)) |
(*.f32 (*.f32 #s(literal 4 binary32) c) a) |
(*.f32 (*.f32 #s(literal 4 binary32) a) c) |
(*.f32 (*.f32 c a) #s(literal 4 binary32)) |
(*.f32 #s(literal 4 binary32) (*.f32 c a)) |
(*.f32 c (*.f32 #s(literal 4 binary32) a)) |
(*.f32 a (*.f32 #s(literal 4 binary32) c)) |
(*.f32 (sqrt.f32 (neg.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)) (*.f32 b b)))))) (sqrt.f32 (neg.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)) (*.f32 b b))))))) |
(*.f32 (sqrt.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)) (*.f32 b b))))) (sqrt.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)) (*.f32 b b)))))) |
(sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)) (*.f32 b b)))) |
(fabs.f32 (neg.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)) (*.f32 b b)))))) |
(fabs.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)) (*.f32 b b))))) |
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)) (neg.f32 b)) (neg.f32 b)) |
(*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)) b) b) |
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)) (*.f32 b b)) |
(*.f32 (neg.f32 b) (*.f32 (neg.f32 b) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)))) |
(*.f32 (*.f32 b b) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a))) |
(*.f32 b (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)) b)) |
(/.f32 (neg.f32 (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 (/.f32 a b) (/.f32 c b)) (*.f32 (/.f32 a b) (/.f32 c b))) #s(literal 16 binary32)) #s(literal 1 binary32)) (*.f32 b b))) (neg.f32 (-.f32 (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (+.f32 (*.f32 #s(literal -64 binary32) (/.f32 (*.f32 (*.f32 (*.f32 a a) a) (*.f32 (*.f32 c c) c)) (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)))) #s(literal 1 binary32)) (*.f32 b b))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)) (*.f32 (*.f32 (*.f32 (/.f32 a b) (/.f32 c b)) (*.f32 (/.f32 a b) (/.f32 c b))) #s(literal 16 binary32))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 b b) (-.f32 (*.f32 (*.f32 (*.f32 (/.f32 a b) (/.f32 c b)) (*.f32 (/.f32 a b) (/.f32 c b))) #s(literal 16 binary32)) #s(literal 1 binary32)))) (neg.f32 (-.f32 (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (*.f32 b b) (+.f32 (*.f32 #s(literal -64 binary32) (/.f32 (*.f32 (*.f32 (*.f32 a a) a) (*.f32 (*.f32 c c) c)) (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)))) #s(literal 1 binary32)))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)) (*.f32 (*.f32 (*.f32 (/.f32 a b) (/.f32 c b)) (*.f32 (/.f32 a b) (/.f32 c b))) #s(literal 16 binary32))))) |
(/.f32 (*.f32 (-.f32 (*.f32 (*.f32 (*.f32 (/.f32 a b) (/.f32 c b)) (*.f32 (/.f32 a b) (/.f32 c b))) #s(literal 16 binary32)) #s(literal 1 binary32)) (*.f32 b b)) (-.f32 (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a) #s(literal 1 binary32))) |
(/.f32 (*.f32 (+.f32 (*.f32 #s(literal -64 binary32) (/.f32 (*.f32 (*.f32 (*.f32 a a) a) (*.f32 (*.f32 c c) c)) (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)))) #s(literal 1 binary32)) (*.f32 b b)) (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)) (*.f32 (*.f32 (*.f32 (/.f32 a b) (/.f32 c b)) (*.f32 (/.f32 a b) (/.f32 c b))) #s(literal 16 binary32)))) |
(/.f32 (*.f32 (*.f32 b b) (-.f32 (*.f32 (*.f32 (*.f32 (/.f32 a b) (/.f32 c b)) (*.f32 (/.f32 a b) (/.f32 c b))) #s(literal 16 binary32)) #s(literal 1 binary32))) (-.f32 (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a) #s(literal 1 binary32))) |
(/.f32 (*.f32 (*.f32 b b) (+.f32 (*.f32 #s(literal -64 binary32) (/.f32 (*.f32 (*.f32 (*.f32 a a) a) (*.f32 (*.f32 c c) c)) (*.f32 (*.f32 (*.f32 (*.f32 b b) b) b) (*.f32 b b)))) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)) (*.f32 (*.f32 (*.f32 (/.f32 a b) (/.f32 c b)) (*.f32 (/.f32 a b) (/.f32 c b))) #s(literal 16 binary32)))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 b b)) (*.f32 (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a) (*.f32 b b))) |
(+.f32 (*.f32 (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a) (*.f32 b b)) (*.f32 #s(literal 1 binary32) (*.f32 b b))) |
(+.f32 (*.f32 (*.f32 b b) #s(literal 1 binary32)) (*.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a))) |
(+.f32 (*.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 c b) b)) a)) (*.f32 (*.f32 b b) #s(literal 1 binary32))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 c))) (*.f32 (neg.f32 b) b)) |
(/.f32 (neg.f32 (neg.f32 c)) (*.f32 b b)) |
(/.f32 (neg.f32 c) (*.f32 (neg.f32 b) b)) |
(/.f32 (/.f32 c (neg.f32 b)) (neg.f32 (neg.f32 (neg.f32 b)))) |
(/.f32 (/.f32 c (neg.f32 b)) (neg.f32 b)) |
(/.f32 (/.f32 c b) (neg.f32 (neg.f32 b))) |
(/.f32 (/.f32 c b) b) |
(/.f32 c (*.f32 b b)) |
(neg.f32 (/.f32 c (*.f32 (neg.f32 b) b))) |
(neg.f32 (/.f32 (/.f32 c (neg.f32 b)) b)) |
Compiled 63 789 to 3 776 computations (94.1% saved)
22 alts after pruning (18 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 633 | 12 | 645 |
| Fresh | 7 | 6 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 1 | 3 |
| Total | 644 | 22 | 666 |
| Status | Accuracy | Program |
|---|---|---|
| 40.5% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 b (*.f32 #s(literal -2 binary32) a)) (/.f32 a c)) (*.f32 (/.f32 b (*.f32 #s(literal -2 binary32) a)) (/.f32 a c))) (*.f32 (*.f32 (*.f32 (/.f32 c c) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (*.f32 #s(literal 2 binary32) a))) (*.f32 (*.f32 (/.f32 c c) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (*.f32 #s(literal 2 binary32) a))))) (/.f32 (-.f32 (*.f32 a b) (*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) c))) (*.f32 (*.f32 #s(literal -2 binary32) c) a))) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) | |
| 69.3% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- 2 (* (* a (/ (/ c b) b)) 2)) (neg b)) (*.f32 (-.f32 (*.f32 (/.f32 b c) #s(literal -2 binary32)) (*.f32 (/.f32 a b) #s(literal -2 binary32))) c))))) | |
| ✓ | 39.1% | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) #s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32)))))) |
| 4.4% | (if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) #s(approx (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 c a))))) | |
| 26.6% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) #s(literal -1/2 binary32)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a))) | |
| 51.0% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (*.f32 (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) b) a) #s(literal -1/2 binary32))) | |
| 52.2% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) a) #s(literal -1/2 binary32))) | |
| ✓ | 37.2% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) #s(literal -1/2 binary32))) |
| 37.2% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))) | |
| ✓ | 51.6% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) #s(literal -1/2 binary32))) |
| 52.9% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a))) | |
| 22.4% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (+.f32 (*.f32 c b) (*.f32 b c)) (*.f32 b b))) #s(literal -1/2 binary32))) | |
| 28.9% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (/.f32 (*.f32 c c) b) (/.f32 a b)) c)) (neg.f32 b))) #s(literal -1/2 binary32))) | |
| 12.5% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (*.f32 #s(literal -2 binary32) c) b)) #s(literal -1/2 binary32))) | |
| 37.3% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 (/.f32 b a) #s(literal -2 binary32)))) #s(literal -1/2 binary32))) | |
| ✓ | 35.4% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
| 35.2% | #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 c (/.f32 #s(literal 2 binary32) b))) #s(literal -1/2 binary32))) | |
| 51.2% | #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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 #s(literal -4 binary32) a) c) (*.f32 b b))) b)))) | |
| 50.4% | #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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (-.f32 (/.f32 (*.f32 b b) c) (*.f32 #s(literal 4 binary32) a)) c))) b)))) | |
| 26.4% | #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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b)))) | |
| 33.3% | #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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) b)))) | |
| 51.3% | #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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) c))) |
Compiled 5 954 to 1 298 computations (78.2% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 c (/.f32 #s(literal 2 binary32) b))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (*.f32 #s(literal -2 binary32) c) b)) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) #s(approx (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 c a))))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (+.f32 (*.f32 c b) (*.f32 b c)) (*.f32 b b))) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 #s(literal -4 binary32) a) c) (*.f32 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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) (/.f32 b a)))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 (/.f32 b a) #s(literal -2 binary32)))) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) c))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) a) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32))) |
#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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (+.f32 (/.f32 c b) (/.f32 (neg.f32 b) a))) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/.f32 (neg.f32 b) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (- (* b b) (* (* c a) 4))) (neg.f32 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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (*.f32 c (/.f32 #s(literal -2 binary32) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) (-.f32 b (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) |
(if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f32 (/.f32 c b) (/.f32 (neg.f32 b) a))) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 #s(literal -2 binary32) b)) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f32 b))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (-.f32 (/.f32 (*.f32 b b) c) (*.f32 #s(literal 4 binary32) a)) c))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) a) (/.f32 b a)) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (-.f32 (/.f32 (*.f32 b b) c) (*.f32 a #s(literal 4 binary32))) c))) b) a) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (*.f32 #s(literal -2 binary32) (+.f32 (*.f32 (/.f32 (*.f32 c c) b) (/.f32 a b)) c)) (neg.f32 b))) #s(literal -1/2 binary32))) |
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) a) (/.f32 b a)) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) a) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) #s(literal -2 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b) (*.f32 #s(literal -2 binary32) c)) (/.f32 (*.f32 #s(literal -2 binary32) c) #s(approx (- b (sqrt (- (* b b) (* c (* a 4))))) (*.f32 (neg.f32 b) (-.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal 2 binary32)) #s(literal 2 binary32)))))) |
(if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (- (* b a) (* (* -2 c) (/ (sqrt (- (* b b) (* c (* a 4)))) 2))) (* (* -2 c) a)) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 b (*.f32 (-.f32 (/.f32 b c) (*.f32 (/.f32 c b) #s(literal 2 binary32))) a))) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 (+.f32 (*.f32 (*.f32 a (/.f32 c (*.f32 b b))) #s(literal -4 binary32)) #s(literal 1 binary32)) (*.f32 b b)))) b) a) #s(literal -1/2 binary32))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (- 2 (* (* a (/ (/ c b) b)) 2)) (neg b)) (*.f32 (-.f32 (*.f32 (/.f32 b c) #s(literal -2 binary32)) (*.f32 (/.f32 a b) #s(literal -2 binary32))) c))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 a (/.f32 (/.f32 c b) b)) #s(literal 2 binary32))) (neg.f32 b))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (/.f32 #s(approx (- (- (* b b) (* c (* a 4))) (* b b)) (*.f32 #s(literal -4 binary32) (*.f32 c a))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) a)) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) #s(literal -1/2 binary32)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (*.f32 (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)))) (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))))) b) a) #s(literal -1/2 binary32))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 (neg.f32 b) a) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) a))) #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c)) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b)) a) #s(literal -1/2 binary32))) |
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))) (*.f32 b b)) (*.f32 (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a)) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 b #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) a))) (*.f32 (*.f32 #s(literal -2 binary32) c) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 b a) (*.f32 (*.f32 #s(literal -2 binary32) c) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -2 binary32) c) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (*.f32 (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)) #s(literal 2 binary32)) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (*.f32 (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32))))) (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (*.f32 (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (*.f32 (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))) (sqrt.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))))))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (/.f32 (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (/.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (/.f32 (*.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b))) (*.f32 (-.f32 (*.f32 b b) (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (*.f32 (+.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)) (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) (neg.f32 b)) (+.f32 (+.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32)))) (*.f32 b b)) (*.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 c (*.f32 a #s(literal 4 binary32))))) b)))))) |
(if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 b (*.f32 #s(literal -2 binary32) a)) (/.f32 a c)) (*.f32 (/.f32 b (*.f32 #s(literal -2 binary32) a)) (/.f32 a c))) (*.f32 (*.f32 (*.f32 (/.f32 c c) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (*.f32 #s(literal 2 binary32) a))) (*.f32 (*.f32 (/.f32 c c) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) (*.f32 #s(literal 2 binary32) a))))) (/.f32 (-.f32 (*.f32 a b) (*.f32 (/.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) c))) (*.f32 (*.f32 #s(literal -2 binary32) c) a))) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
| Outputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (+.f32 (/.f32 c b) (/.f32 (neg.f32 b) a))) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
4 calls:
| 13.0ms | c |
| 13.0ms | a |
| 13.0ms | b |
| 12.0ms | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.6% | 5 | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
| 74.6% | 2 | a |
| 91.6% | 3 | b |
| 77.6% | 3 | c |
Compiled 41 to 29 computations (29.3% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 c (/.f32 #s(literal 2 binary32) b))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (*.f32 #s(literal -2 binary32) c) b)) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) #s(approx (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 c a))))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (+.f32 (*.f32 c b) (*.f32 b c)) (*.f32 b b))) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 #s(literal -4 binary32) a) c) (*.f32 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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) (/.f32 b a)))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 (/.f32 b a) #s(literal -2 binary32)))) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) c))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) a) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32))) |
#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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (+.f32 (/.f32 c b) (/.f32 (neg.f32 b) a))) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/.f32 (neg.f32 b) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 #s(approx (sqrt (- (* b b) (* (* c a) 4))) (neg.f32 b)) b)))) |
| Outputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (+.f32 (/.f32 c b) (/.f32 (neg.f32 b) a))) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
1 calls:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 c (/.f32 #s(literal 2 binary32) b))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (*.f32 #s(literal -2 binary32) c) b)) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) #s(approx (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 c a))))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (+.f32 (*.f32 c b) (*.f32 b c)) (*.f32 b b))) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 #s(literal -4 binary32) a) c) (*.f32 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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) (/.f32 b a)))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 (/.f32 b a) #s(literal -2 binary32)))) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) c))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) a) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32))) |
#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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (+.f32 (/.f32 c b) (/.f32 (neg.f32 b) a))) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (/.f32 (neg.f32 b) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
| Outputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32))) |
#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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (+.f32 (/.f32 c b) (/.f32 (neg.f32 b) a))) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.3% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 c (/.f32 #s(literal 2 binary32) b))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (*.f32 #s(literal -2 binary32) c) b)) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) #s(approx (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 c a))))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (+.f32 (*.f32 c b) (*.f32 b c)) (*.f32 b b))) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 #s(literal -4 binary32) a) c) (*.f32 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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) (/.f32 b a)))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 (/.f32 b a) #s(literal -2 binary32)))) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) c))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 a #s(literal 4 binary32)) c))) b) a) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32))) |
| Outputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) (/.f32 b a)))) #s(literal -1/2 binary32))) |
1 calls:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.1% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 c (/.f32 #s(literal 2 binary32) b))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (*.f32 #s(literal -2 binary32) c) b)) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) #s(approx (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 c a))))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (+.f32 (*.f32 c b) (*.f32 b c)) (*.f32 b b))) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 #s(literal -4 binary32) a) c) (*.f32 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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) (/.f32 b a)))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 (/.f32 b a) #s(literal -2 binary32)))) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (*.f32 (/.f32 #s(literal 2 binary32) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)) c))) |
| Outputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) (/.f32 b a)))) #s(literal -1/2 binary32))) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.1% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 c (/.f32 #s(literal 2 binary32) b))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (*.f32 #s(literal -2 binary32) c) b)) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) #s(approx (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 c a))))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (+.f32 (*.f32 c b) (*.f32 b c)) (*.f32 b b))) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 #s(literal -4 binary32) a) c) (*.f32 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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
| Outputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))) |
1 calls:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 c (/.f32 #s(literal 2 binary32) b))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (*.f32 #s(literal -2 binary32) c) b)) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) #s(approx (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 c a))))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (+.f32 (*.f32 c b) (*.f32 b c)) (*.f32 b b))) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 #s(literal -4 binary32) a) c) (*.f32 b b))) b)))) |
| Outputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 #s(literal -4 binary32) a) c) (*.f32 b b))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))) |
1 calls:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 c (/.f32 #s(literal 2 binary32) b))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (*.f32 #s(literal -2 binary32) c) b)) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) b)))) |
(if (>=.f32 b #s(literal 0 binary32)) #s(approx (/ (+ (sqrt (- (* b b) (* c (* a 4)))) b) (* -2 c)) (/.f32 (neg.f32 a) b)) #s(approx (/ (* -2 c) (- b (sqrt (- (* b b) (* c (* a 4)))))) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 c a))))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (+.f32 (*.f32 c b) (*.f32 b c)) (*.f32 b b))) #s(literal -1/2 binary32))) |
| Outputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))) |
2 calls:
| 3.0ms | b |
| 3.0ms | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.0% | 5 | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
| 84.0% | 3 | b |
Compiled 39 to 23 computations (41% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 c (/.f32 #s(literal 2 binary32) b))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (*.f32 #s(literal -2 binary32) c) b)) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))) |
#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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 b b))) b) a) #s(literal -1/2 binary32))) |
| Outputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))) |
3 calls:
| 2.0ms | b |
| 2.0ms | c |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.5% | 2 | c |
| 41.7% | 2 | a |
| 67.9% | 2 | b |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 c (/.f32 #s(literal 2 binary32) b))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (/.f32 (*.f32 #s(literal -2 binary32) c) b)) #s(literal -1/2 binary32))) |
| Outputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
4 calls:
| 1.0ms | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
| 1.0ms | b |
| 1.0ms | a |
| 1.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.4% | 1 | c |
| 35.4% | 1 | a |
| 35.4% | 1 | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
| 35.4% | 1 | b |
Compiled 41 to 29 computations (29.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 c (/.f32 #s(literal 2 binary32) b))) #s(literal -1/2 binary32))) |
| Outputs |
|---|
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 c (/.f32 #s(literal 2 binary32) b))) #s(literal -1/2 binary32))) |
4 calls:
| 1.0ms | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
| 1.0ms | c |
| 1.0ms | a |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.2% | 1 | a |
| 35.2% | 1 | b |
| 35.2% | 1 | c |
| 35.2% | 1 | (if (>=.f32 b #s(literal 0 binary32)) (/.f32 (-.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))) (*.f32 #s(literal 2 binary32) a)) (/.f32 (*.f32 #s(literal 2 binary32) c) (+.f32 (neg.f32 b) (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 #s(literal 4 binary32) a) c)))))) |
Compiled 41 to 29 computations (29.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2475545061228544.0 | 3416919214391296.0 |
| 0.0ms | -54414773583872.0 | -21097844047872.0 |
Compiled 41 to 26 computations (36.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2475545061228544.0 | 3416919214391296.0 |
| 0.0ms | -54414773583872.0 | -21097844047872.0 |
Compiled 41 to 26 computations (36.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2475545061228544.0 | 3416919214391296.0 |
| 0.0ms | -3.8257966239463315e-10 | -1.1124133558748639e-10 |
Compiled 41 to 26 computations (36.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 17365115418443776.0 | 39172528396042240.0 |
| 0.0ms | -3.8257966239463315e-10 | -1.1124133558748639e-10 |
Compiled 41 to 26 computations (36.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.005130753852427006 | 0.02183757722377777 |
| 0.0ms | -54414773583872.0 | -21097844047872.0 |
Compiled 41 to 26 computations (36.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.005130753852427006 | 0.02183757722377777 |
| 0.0ms | -54414773583872.0 | -21097844047872.0 |
Compiled 41 to 26 computations (36.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.005130753852427006 | 0.02183757722377777 |
| 0.0ms | -54414773583872.0 | -21097844047872.0 |
Compiled 41 to 26 computations (36.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9379699267574324e-7 | 1.998810148506891e-7 |
| 0.0ms | -3.8257966239463315e-10 | -1.1124133558748639e-10 |
Compiled 41 to 26 computations (36.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.700038911947963e-39 | -3.43527057360611e-39 |
Compiled 41 to 26 computations (36.6% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 2317 |
| 1 | 236 | 2314 |
| 2 | 446 | 2314 |
| 3 | 1025 | 2176 |
| 4 | 2735 | 2137 |
| 5 | 6865 | 2137 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f32 b #s(literal -50000000188416 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 3000000028082176 binary32)) #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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (+.f32 (/.f32 c b) (/.f32 (neg.f32 b) a))) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))))) |
(if (<=.f32 b #s(literal -50000000188416 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 3000000028082176 binary32)) #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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (+.f32 (/.f32 c b) (/.f32 (neg.f32 b) a))) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))))) |
(if (<=.f32 b #s(literal -14411519/72057594037927936 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 3000000028082176 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32))) #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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (+.f32 (/.f32 c b) (/.f32 (neg.f32 b) a))) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))))) |
(if (<=.f32 b #s(literal -14411519/72057594037927936 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 20000000545128448 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a))) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) (/.f32 b a)))) #s(literal -1/2 binary32))))) |
(if (<=.f32 b #s(literal -50000000188416 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 5368709/536870912 binary32)) #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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) (/.f32 b a)))) #s(literal -1/2 binary32))))) |
(if (<=.f32 b #s(literal -50000000188416 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 5368709/536870912 binary32)) #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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))))) |
(if (<=.f32 b #s(literal -50000000188416 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 5368709/536870912 binary32)) #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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 #s(literal -4 binary32) a) c) (*.f32 b b))) b)))) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))))) |
(if (<=.f32 b #s(literal -14411519/72057594037927936 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 13721905/70368744177664 binary32)) #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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) b)))) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))))) |
(if (<=.f32 b #s(literal -2497683/713623846352979940529142984724747568191373312 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 c (/.f32 #s(literal 2 binary32) b))) #s(literal -1/2 binary32))) |
| Outputs |
|---|
(if (<=.f32 b #s(literal -50000000188416 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 3000000028082176 binary32)) #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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (+.f32 (/.f32 c b) (/.f32 (neg.f32 b) a))) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))))) |
(if (<=.f32 b #s(literal -50000000188416 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 3000000028082176 binary32)) #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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (-.f32 (/.f32 c b) (/.f32 b a))) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))))) |
(if (<=.f32 b #s(literal -50000000188416 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 3000000028082176 binary32)) #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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (+.f32 (/.f32 c b) (/.f32 (neg.f32 b) a))) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))))) |
(if (<=.f32 b #s(literal -50000000188416 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 3000000028082176 binary32)) #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 (>=.f32 b #s(literal 0 binary32)) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a)) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) 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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (-.f32 (/.f32 c b) (/.f32 b a))) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))))) |
(if (<=.f32 b #s(literal -14411519/72057594037927936 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 3000000028082176 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32))) #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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (+.f32 (/.f32 c b) (/.f32 (neg.f32 b) a))) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))))) |
(if (<=.f32 b #s(literal -14411519/72057594037927936 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 3000000028082176 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) a) #s(literal -1/2 binary32))) #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 (>=.f32 b #s(literal 0 binary32)) #s(approx (* (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) -1/2) (-.f32 (/.f32 c b) (/.f32 b a))) (/.f32 (*.f32 c #s(literal 2 binary32)) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))))) |
(if (<=.f32 b #s(literal -14411519/72057594037927936 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 20000000545128448 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (+.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b) (/.f32 #s(literal -1/2 binary32) a))) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) (/.f32 b a)))) #s(literal -1/2 binary32))))) |
(if (<=.f32 b #s(literal -50000000188416 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 5368709/536870912 binary32)) #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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (-.f32 (*.f32 (/.f32 c b) #s(literal -2 binary32)) (*.f32 #s(literal -2 binary32) (/.f32 b a)))) #s(literal -1/2 binary32))))) |
(if (<=.f32 b #s(literal -50000000188416 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 5368709/536870912 binary32)) #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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (-.f32 (*.f32 b b) (*.f32 (*.f32 c a) #s(literal 4 binary32)))) b)))) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))))) |
(if (<=.f32 b #s(literal -50000000188416 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 5368709/536870912 binary32)) #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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 (+.f32 (*.f32 (*.f32 #s(literal -4 binary32) a) c) (*.f32 b b))) b)))) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))))) |
(if (<=.f32 b #s(literal -14411519/72057594037927936 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (if (<=.f32 b #s(literal 13721905/70368744177664 binary32)) #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)))))) #s(approx (if (>= b 0) (* (/ (- (- (* b b) (* (* c a) 4)) (* b b)) (* (- (sqrt (- (* b b) (* (* c a) 4))) b) a)) -1/2) (/ (* c 2) (- (sqrt (- (* b b) (* (* c a) 4))) b))) (/.f32 (+.f32 c c) (-.f32 (sqrt.f32 #s(approx (- (* b b) (* (* c a) 4)) (*.f32 #s(literal -4 binary32) (*.f32 c a)))) b)))) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32))))) |
(if (<=.f32 b #s(literal -2497683/713623846352979940529142984724747568191373312 binary32)) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) #s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 (/.f32 #s(approx (+ (sqrt (- (* b b) (* (* c a) 4))) b) (*.f32 #s(literal 2 binary32) b)) a) #s(literal -1/2 binary32)))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 (/.f32 c b) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
#s(approx (if (>= b 0) (/ (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (* 2 c) (/ (- (- (* b b) (* c (* a 4))) (* b b)) (- (sqrt (- (* b b) (* c (* a 4)))) (neg b))))) (*.f32 #s(approx (/ (+ (sqrt (- (* b b) (* (* c a) 4))) b) a) (*.f32 c (/.f32 #s(literal 2 binary32) b))) #s(literal -1/2 binary32))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 852 |
| 0 | 150 | 846 |
| 1 | 501 | 776 |
| 2 | 2673 | 776 |
| 0 | 8628 | 776 |
| 0 | 642 | 3556 |
| 1 | 2146 | 3531 |
| 0 | 8452 | 3531 |
| 0 | 1395 | 8488 |
| 1 | 5232 | 8361 |
| 0 | 8100 | 8361 |
| 0 | 80 | 667 |
| 0 | 122 | 625 |
| 1 | 408 | 611 |
| 2 | 2051 | 611 |
| 0 | 8371 | 611 |
| 0 | 74 | 581 |
| 0 | 119 | 565 |
| 1 | 388 | 549 |
| 2 | 2122 | 549 |
| 0 | 8744 | 549 |
| 0 | 1152 | 7556 |
| 1 | 4170 | 7515 |
| 0 | 9097 | 7515 |
| 0 | 1714 | 11682 |
| 1 | 6409 | 11615 |
| 0 | 8477 | 11615 |
| 0 | 20 | 94 |
| 0 | 33 | 94 |
| 1 | 95 | 94 |
| 2 | 607 | 91 |
| 3 | 7721 | 91 |
| 0 | 8459 | 91 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 3 896 to 1 149 computations (70.5% saved)
Compiled 4 704 to 334 computations (92.9% saved)
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