
Time bar (total: 12.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 5 |
| 34.4% | 34.3% | 65.5% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 44.2% | 41.3% | 52.3% | 0.1% | 0% | 6.2% | 0% | 8 |
| 54.3% | 49.5% | 41.7% | 0.1% | 0% | 8.6% | 0% | 9 |
| 61% | 52.9% | 33.7% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.9% | 57.4% | 28.4% | 0.1% | 0% | 14% | 0% | 11 |
| 72.5% | 60.6% | 22.9% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 40 to 22 computations (45% saved)
| 1.7s | 8 256× | 0 | valid |
| 126.0ms | 991× | 0 | invalid |
ival-mult: 493.0ms (36.7% of total)ival-if: 303.0ms (22.6% of total)ival-sub: 182.0ms (13.5% of total)ival-div: 138.0ms (10.3% of total)ival-sqrt: 79.0ms (5.9% of total)ival-add: 47.0ms (3.5% of total)ival-neg: 43.0ms (3.2% of total)ival->=: 32.0ms (2.4% of total)exact: 14.0ms (1% of total)ival-true: 7.0ms (0.5% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 106 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 60 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 56 | 0 | - | 0 | - | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 19 | 0 | - | 1 | (-1.0651082755544576e-218 2.118900288581781e+102 -437982924.21518564) | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 13 | 0 | - | 0 | - | (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
| 5 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (>=.f64 b #s(literal 0 binary64)) |
| 0 | 0 | - | 0 | - | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 0 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | oflow-rescue | 103 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | overflow | 103 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 26 | |
| ↳ | (*.f64 b b) | overflow | 86 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 60 | 0 |
-.f64 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 56 | 0 |
/.f64 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | u/n | 18 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 3 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 29 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 42 | |
| ↳ | (*.f64 b b) | underflow | 38 | |
/.f64 | (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) | n/u | 13 | 0 |
| ↳ | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 32 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 3 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 42 | |
| ↳ | (*.f64 b b) | underflow | 38 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | nan-rescue | 5 | 0 |
| ↳ | (*.f64 b b) | overflow | 86 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 26 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | uflow-rescue | 3 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 3 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 42 | |
| ↳ | (*.f64 b b) | underflow | 38 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 72 | 0 |
| - | 121 | 63 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 72 | 0 | 0 |
| - | 121 | 0 | 63 |
| number | freq |
|---|---|
| 0 | 63 |
| 1 | 133 |
| 2 | 55 |
| 3 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 73.0ms | 148× | 1 | valid |
| 54.0ms | 168× | 2 | valid |
| 52.0ms | 160× | 0 | valid |
| 15.0ms | 36× | 3 | valid |
Compiled 332 to 64 computations (80.7% saved)
ival-div: 45.0ms (33.4% of total)ival-sub: 32.0ms (23.8% of total)adjust: 16.0ms (11.9% of total)ival-mult: 16.0ms (11.9% of total)ival-sqrt: 10.0ms (7.4% of total)ival-add: 6.0ms (4.5% of total)ival-if: 5.0ms (3.7% of total)ival->=: 2.0ms (1.5% of total)ival-neg: 2.0ms (1.5% of total)ival-true: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 355 |
| 1 | 202 | 343 |
| 2 | 492 | 343 |
| 3 | 850 | 343 |
| 4 | 1179 | 343 |
| 5 | 1464 | 343 |
| 6 | 1746 | 343 |
| 7 | 1893 | 343 |
| 0 | 20 | 38 |
| 0 | 33 | 38 |
| 1 | 57 | 38 |
| 2 | 115 | 38 |
| 3 | 208 | 38 |
| 4 | 309 | 38 |
| 5 | 389 | 38 |
| 6 | 431 | 38 |
| 7 | 488 | 38 |
| 8 | 540 | 38 |
| 0 | 540 | 36 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 2 binary64)))) |
Compiled 38 to 20 computations (47.4% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
Compiled 38 to 20 computations (47.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) | |
| cost-diff | 1 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 145 |
| 0 | 33 | 145 |
| 1 | 57 | 145 |
| 2 | 115 | 145 |
| 3 | 208 | 145 |
| 4 | 309 | 145 |
| 5 | 389 | 145 |
| 6 | 431 | 145 |
| 7 | 488 | 145 |
| 8 | 540 | 145 |
| 0 | 540 | 137 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
c |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(*.f64 #s(literal 2 binary64) a) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 2 binary64)))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
#s(literal 2 binary64) |
c |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 (*.f64 a #s(literal 4 binary64)) c) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 2 binary64))) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.404531452008124 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 12.841702409604787 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 14.239721838158188 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 24.771048216503594 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 29.0ms | 84× | 2 | valid |
| 18.0ms | 74× | 1 | valid |
| 11.0ms | 18× | 3 | valid |
| 10.0ms | 80× | 0 | valid |
Compiled 147 to 22 computations (85% saved)
ival-sub: 8.0ms (17.3% of total)ival-sqrt: 8.0ms (17.3% of total)adjust: 8.0ms (17.3% of total)ival-mult: 8.0ms (17.3% of total)ival-div: 7.0ms (15.1% of total)ival-if: 3.0ms (6.5% of total)ival-add: 3.0ms (6.5% of total)ival->=: 1.0ms (2.2% of total)ival-neg: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(>=.f64 b #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -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 (* (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) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -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))) (* 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)))))) 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))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -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))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -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)) (* 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)) (* -1/2 (* a b))) a))) a)) |
(* -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)))))) |
(* 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 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(- (pow b 2) (* 4 (* a c))) |
(>= b 0) |
(+ (* -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 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (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))))))) (* 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))))))) |
(+ (* 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))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (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))))))) |
(/ (+ (* -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 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
(* -1 (* 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))) (+ (* -1 (/ c (pow b 2))) (/ 1 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)))))))) |
(* -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 (/ (- (* 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 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 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)))) (* 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 (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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 (- (* -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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (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 (- (/ 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 (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | b | @ | 0 | ((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) |
| 6.0ms | a | @ | inf | ((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) |
| 5.0ms | a | @ | -inf | ((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) |
| 5.0ms | b | @ | inf | ((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) |
| 4.0ms | c | @ | inf | ((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 892 | 4689 |
| 1 | 3165 | 4554 |
| 0 | 9442 | 4354 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -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 (* (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) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -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))) (* 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)))))) 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))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -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))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -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)) (* 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)) (* -1/2 (* a b))) a))) a)) |
(* -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)))))) |
(* 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 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(- (pow b 2) (* 4 (* a c))) |
(>= b 0) |
(+ (* -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 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (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))))))) (* 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))))))) |
(+ (* 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))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (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))))))) |
(/ (+ (* -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 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
(* -1 (* 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))) (+ (* -1 (/ c (pow b 2))) (/ 1 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)))))))) |
(* -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 (/ (- (* 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 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 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)))) (* 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 (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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 (- (* -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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (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 (- (/ 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 (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
| Outputs |
|---|
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) a))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 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)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a b) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 a (/.f64 c b)) b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -4 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal 4 binary64) c)) a) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -2 binary64)) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 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))))) a) |
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) a) (/.f64 #s(literal -1/2 binary64) a) (/.f64 b #s(literal -4 binary64))) (*.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -2 binary64))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -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))) (* 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)))))) a) |
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) a) (/.f64 #s(literal -1/2 binary64) a) (/.f64 (fma.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) b) (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a a) c)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64))))) a) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) a) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 b) a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) a) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) a) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
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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)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b c))) c) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b c)))) c) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 b) c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c))) c) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64))))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c)))) c) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))) c) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))))))) c) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64) (*.f64 #s(literal 4 binary64) a))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) (neg.f64 c))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) #s(literal -1/8 binary64)) (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 c (*.f64 a a)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) #s(literal -1/8 binary64))) c) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) (neg.f64 c))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 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))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))) |
(* -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)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64))) b) (neg.f64 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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 b c) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64))) b) c) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 b b)))) (neg.f64 c)) b) c) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c))) (neg.f64 c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 120 |
| 0 | 33 | 120 |
| 1 | 95 | 120 |
| 2 | 609 | 116 |
| 3 | 7889 | 116 |
| 0 | 8110 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(>=.f64 b #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 c a) (-.f64 (*.f64 (*.f64 c a) #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
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(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
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(/.f64 (fma.f64 (*.f64 (neg.f64 b) a) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) c) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal -2 binary64) c)) |
(/.f64 (-.f64 (/.f64 (neg.f64 b) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) a)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 b #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64))) a) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (neg.f64 a)) #s(literal -2 binary64)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (neg.f64 a)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64))) (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)) a))) |
(/.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) c)) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 #s(literal -2 binary64) c))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) c))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)) a))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) c)))) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal -2 binary64) c))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal -2 binary64) c)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) c)) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 #s(literal -2 binary64) c)) (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) c)) #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) c))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal -2 binary64) c)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) c)) #s(literal 3 binary64))) (-.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) c)) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 #s(literal -2 binary64) c))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) c)))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 9/2 binary64)) (pow.f64 (neg.f64 b) #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) c)))) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)) (neg.f64 a)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)) a) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) c))) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)) a))) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)) a)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) c))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) c)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) c))) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) c) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (neg.f64 b) a) #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) c)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -2 binary64)) (neg.f64 (neg.f64 a))) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -2 binary64)) (neg.f64 a)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -2 binary64)) a) |
(/.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) c))) |
(/.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)) a)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) c))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) c))) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) c)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) c)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) c)) (*.f64 #s(literal -2 binary64) c)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal -2 binary64) c)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) c)) |
(neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) c))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 0 binary64)) #s(literal 0 binary64) (/.f64 b (*.f64 #s(literal -2 binary64) c))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) c))) |
(fma.f64 (/.f64 b #s(literal 0 binary64)) #s(literal 0 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal -2 binary64) c))) |
(fma.f64 (/.f64 b (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal -2 binary64) c))) |
(fma.f64 (/.f64 (neg.f64 b) #s(literal 0 binary64)) #s(literal 0 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal -2 binary64) c))) |
(fma.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal -2 binary64) c))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 b (*.f64 #s(literal -2 binary64) c))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) c))) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 #s(literal -2 binary64) c)) (/.f64 b (*.f64 #s(literal -2 binary64) c))) |
(-.f64 (/.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) c)) #s(literal 2 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) c))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 #s(literal -2 binary64) c)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) c)))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)) a)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 #s(literal -2 binary64) c)) (/.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 #s(literal -2 binary64) c))) |
(-.f64 (/.f64 b (*.f64 #s(literal -2 binary64) c)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal -2 binary64) c))) |
(+.f64 (/.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) c)) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) c)) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 #s(literal -2 binary64) c))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) c)))) (/.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal -2 binary64) c)) #s(literal 3 binary64)) (-.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) c)) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 #s(literal -2 binary64) c))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) c))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (neg.f64 b) a) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c)) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) c))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) c))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) c)))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) c))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) c)))) |
(+.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) c)) (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal -2 binary64) c))) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)) a)) (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)) a))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal -2 binary64) c)) (/.f64 b (*.f64 #s(literal -2 binary64) c))) |
(+.f64 (/.f64 b (*.f64 #s(literal -2 binary64) c)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (*.f64 #s(literal -2 binary64) c))) |
Compiled 56 469 to 4 015 computations (92.9% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 850 | 17 | 867 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 851 | 17 | 868 |
| Status | Accuracy | Program |
|---|---|---|
| 66.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) | |
| 52.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) | |
| 55.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) c)))) | |
| ▶ | 55.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) c)))) |
| 64.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) a (*.f64 a (/.f64 b #s(literal -2 binary64)))) (*.f64 a a))) | |
| ▶ | 47.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))) |
| 45.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)) a))) | |
| ▶ | 70.1% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
| 70.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) | |
| 72.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -2 binary64)))) | |
| 73.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) | |
| 73.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 a (/.f64 c b))) #s(literal 2 binary64)) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) | |
| ▶ | 73.5% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| 40.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) c))) | |
| 52.3% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) | |
| 72.9% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) c) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) | |
| ▶ | 72.9% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
Compiled 1 628 to 960 computations (41% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))) | |
| cost-diff | 1 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 7 | (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) c)))) | |
| cost-diff | 1 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 3 | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) | |
| cost-diff | 4 | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) c))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) | |
| cost-diff | 1 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) | |
| cost-diff | 1 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 963 |
| 0 | 110 | 969 |
| 1 | 199 | 934 |
| 2 | 467 | 907 |
| 3 | 1657 | 889 |
| 4 | 6263 | 889 |
| 0 | 9217 | 889 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
c |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) b) |
#s(literal -2 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
(*.f64 #s(literal 2 binary64) a) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 c a) |
a |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
#s(literal 1/2 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
c |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) |
(*.f64 #s(literal 2 binary64) a) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) c)))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
c |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) c))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
(*.f64 a b) |
(*.f64 a (*.f64 #s(literal -2 binary64) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
c |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(*.f64 #s(literal 2 binary64) a) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) a)) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
#s(literal 2 binary64) |
c |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) b) |
#s(literal -2 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) b)) a) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(fma.f64 #s(literal -1 binary64) b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 (*.f64 a c) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)) c) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)) c) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)) c) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(*.f64 c a) |
(*.f64 a c) |
a |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) |
#s(literal 1/2 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (neg.f64 b)) (*.f64 a #s(literal 2 binary64)))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
#s(literal 2 binary64) |
c |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 (*.f64 a c) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (neg.f64 b)) (*.f64 a #s(literal 2 binary64))) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) |
(+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (neg.f64 b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) c)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b c) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) a)))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
#s(literal 2 binary64) |
c |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 (*.f64 a c) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) c))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b c) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) a))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) |
(fma.f64 a b (*.f64 (neg.f64 c) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
(*.f64 a b) |
(*.f64 a (*.f64 #s(literal -2 binary64) c)) |
(*.f64 (*.f64 a c) #s(literal -2 binary64)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) a) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 2 binary64)))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
#s(literal 2 binary64) |
c |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 (*.f64 a c) #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
(/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) a) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)) |
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 16.478130951285635 | (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 24.771048216503594 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 24.771048216503594 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 42.33327656774155 | (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 12.841702409604787 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 18.902628950232312 | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) c))) | |
| accuracy | 24.771048216503594 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 24.771048216503594 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 12.841702409604787 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 14.239721838158188 | (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) | |
| accuracy | 24.771048216503594 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 41.156956164537945 | #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) | |
| accuracy | 4.4054474030987345 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) | |
| accuracy | 12.841702409604787 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) | |
| accuracy | 14.239721838158188 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) | |
| accuracy | 24.771048216503594 | (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) | |
| accuracy | 4.404531452008124 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.239721838158188 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 24.771048216503594 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 40.47406464318353 | #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
| 179.0ms | 84× | 2 | valid |
| 135.0ms | 74× | 1 | valid |
| 83.0ms | 18× | 3 | valid |
| 45.0ms | 80× | 0 | valid |
Compiled 938 to 54 computations (94.2% saved)
ival-div: 42.0ms (17.6% of total)ival-mult: 42.0ms (17.6% of total)ival-neg: 42.0ms (17.6% of total)adjust: 32.0ms (13.4% of total)ival-add: 25.0ms (10.5% of total)ival-if: 18.0ms (7.5% of total)ival-sqrt: 18.0ms (7.5% of total)ival-sub: 14.0ms (5.9% of total)ival->=: 5.0ms (2.1% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(>=.f64 b #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) c))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) c)))) |
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| Outputs |
|---|
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a))) |
(* 1/2 (/ b a)) |
(/ (+ (* -1/2 (* a (+ (* 2 (/ c b)) (/ b c)))) (* 1/2 b)) a) |
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (* -1/2 (+ (* 2 (/ c b)) (/ b c)))))) a) |
(/ (+ (* 1/2 b) (* a (+ (* -1/2 (+ (* 2 (/ c b)) (/ b c))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a) |
(* -1 (* b c)) |
(+ (* -1 (* 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 (+ (* 2 (/ (pow c 2) b)) (* a (+ (* 2 (/ (pow c 3) (pow b 3))) (* 4 (/ (* a (pow c 4)) (pow b 5))))))))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -1/2 (/ (+ (* -1 (* c (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* a b)) (* a c)))) |
(+ (* -1 (pow b 2)) (pow b 2)) |
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))) |
(* -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 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) 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)))))))) |
(* -2 (/ c b)) |
(+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))) |
(+ (* -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 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (+ (* -2 (/ c b)) (* -1 (* a (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (+ (* -2 (/ c b)) (* a (- (* -1 (* a (+ (* -1 (/ (* (pow c 2) (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow c 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* c (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -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 (* (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) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -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))) (* 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)))))) 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))) |
(* a (+ b (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))))) |
(* a (+ b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))) (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))))) |
(* a (+ b (+ (* -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 (+ b (+ (* -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 (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (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))) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (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))))) |
(* (sqrt (/ c a)) (sqrt -4)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1 (/ 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))))) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -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))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -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)) (* 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)) (* -1/2 (* a b))) a))) a)) |
(* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1 b)) c)) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1 b)) c))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1 b)) c)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1 b)) c))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1 b)))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (+ (* -1 b) (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (+ (* -1 b) (+ (* -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 b) (+ (* -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 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c)))) |
(* 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)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -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)))))) |
(* -2 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -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 (/ (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -1 (* a b))) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))))))) (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) c))) (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))))) a)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* a b))) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(- (pow b 2) (* 4 (* a c))) |
(>= b 0) |
(+ (* -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 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (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))))))) (* 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))))))) |
(+ (* -1/2 (/ b c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 c))))) |
(* -1 (* (sqrt (* a (pow c 3))) (sqrt -4))) |
(+ (* -1 (* (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 (+ (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))))) |
(- (* -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))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ 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))) |
(+ (* 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))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 4)))))))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(* -1/2 (/ (* b (+ a (* -1 c))) (* a c))) |
(* b (+ (* -1 (/ c (pow b 2))) (* -1/2 (/ (+ a (* -1 c)) (* a c))))) |
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ a (* -1 c)) (* a c)))))) |
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ a (* -1 c)) (* a c))))))) |
(* b (+ a (* -1 c))) |
(* b (+ a (+ (* -1 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))))) |
(* b (+ a (+ (* -1 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))))))) |
(* b (+ a (+ (* -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)))))))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(* 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) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* 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 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -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) |
(/ (+ (* -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) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
(* -1 (* 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))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 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))) (/ 1 a)))))) |
(* 1/2 (/ (* b (+ (* -1 a) (* -1 c))) (* a c))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (* -1/2 (/ (+ (* -1 a) (* -1 c)) (* a c)))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ (* -1 a) (* -1 c)) (* a c))))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ (* -1 a) (* -1 c)) (* a c)))))))) |
(* -1 (* b (+ (* -1 a) (* -1 c)))) |
(* -1 (* b (+ (* -1 a) (+ (* -1 c) (* 2 (/ (* a (pow c 2)) (pow b 2))))))) |
(* -1 (* b (+ (* -1 a) (+ (* -1 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))))) |
(* -1 (* b (+ (* -1 a) (+ (* -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))))))))) |
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -1/2 (/ (+ (* -1 (* c (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* a b)) (* a c)))) |
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 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 (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* 2 (/ (* a c) 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)) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 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))) (* 2 (/ 1 a))))))) |
(* -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)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(* -1/2 (/ b c)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* b c) a))) c) |
(/ (+ (* -1/2 b) (* c (+ (* -1 (/ c b)) (* 1/2 (/ b a))))) c) |
(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))) c) |
(* a b) |
(+ (* -1 (* b c)) (* a b)) |
(+ (* a b) (* c (+ (* -1 b) (* 2 (/ (* a c) b))))) |
(+ (* a b) (* c (+ (* -1 b) (* c (+ (* 2 (/ a b)) (* 2 (/ (* (pow a 2) c) (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)) |
(+ 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 (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 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)))))))) |
(* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) |
(* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) |
(* c (- (* c (+ (* -2 (/ a (pow b 3))) (* c (+ (* -4 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 2 (/ 1 b)))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* c (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* c (- (+ (* -2 (/ a b)) (* -1 (* c (+ (* -1 (/ (* a (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* c (- (+ (* -2 (/ a b)) (* c (- (* -1 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow a 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* a (+ (* -1 (/ (* a (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (+ (* -1 (/ (* a (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* c (+ (* -1/2 (/ (+ b (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -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)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -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)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* (pow c 2) (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ (* a b) (pow c 2))))) |
(* (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)))) (/ (* a b) (pow c 2)))))) |
(* (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)))) (/ (* a b) (pow c 2))))))) |
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) 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 (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (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 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1 (/ b (* a 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)))))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ (+ b (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -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))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/2 (/ (+ b (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
(* 2 (* (sqrt (* a (pow c 3))) (sqrt -1))) |
(* (pow c 2) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ (* a b) (pow c 2))))) |
(* (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))) (/ (* a b) (pow c 2)))))) |
(* (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))) (/ (* a b) (pow c 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a)))) |
(* -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)))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -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 (/ 1 (* a c))) (sqrt -1))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -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))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(+ (* -1 (/ (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))))))))))) (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a))) (+ (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))))) c)) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | b | @ | 0 | ((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) 1/2)) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (* (/ (sqrt (+ (* (* -4 c) a) (* b b))) 2) (* -2 c)) (* a b)) (* a (* -2 c))) (+ (* (/ (sqrt (+ (* (* -4 c) a) (* b b))) 2) (* -2 c)) (* a b)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (* (/ (sqrt (+ (* (* -4 c) a) (* b b))) 2) (* -2 c)) (* a b)) (* a (* -2 c)))) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) |
| 9.0ms | b | @ | inf | ((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) 1/2)) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (* (/ (sqrt (+ (* (* -4 c) a) (* b b))) 2) (* -2 c)) (* a b)) (* a (* -2 c))) (+ (* (/ (sqrt (+ (* (* -4 c) a) (* b b))) 2) (* -2 c)) (* a b)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (* (/ (sqrt (+ (* (* -4 c) a) (* b b))) 2) (* -2 c)) (* a b)) (* a (* -2 c)))) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) |
| 8.0ms | a | @ | inf | ((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) 1/2)) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (* (/ (sqrt (+ (* (* -4 c) a) (* b b))) 2) (* -2 c)) (* a b)) (* a (* -2 c))) (+ (* (/ (sqrt (+ (* (* -4 c) a) (* b b))) 2) (* -2 c)) (* a b)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (* (/ (sqrt (+ (* (* -4 c) a) (* b b))) 2) (* -2 c)) (* a b)) (* a (* -2 c)))) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) |
| 7.0ms | a | @ | -inf | ((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) 1/2)) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (* (/ (sqrt (+ (* (* -4 c) a) (* b b))) 2) (* -2 c)) (* a b)) (* a (* -2 c))) (+ (* (/ (sqrt (+ (* (* -4 c) a) (* b b))) 2) (* -2 c)) (* a b)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (* (/ (sqrt (+ (* (* -4 c) a) (* b b))) 2) (* -2 c)) (* a b)) (* a (* -2 c)))) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) |
| 7.0ms | a | @ | 0 | ((- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) 1/2)) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (* (/ (sqrt (+ (* (* -4 c) a) (* b b))) 2) (* -2 c)) (* a b)) (* a (* -2 c))) (+ (* (/ (sqrt (+ (* (* -4 c) a) (* b b))) 2) (* -2 c)) (* a b)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (* (/ (sqrt (+ (* (* -4 c) a) (* b b))) 2) (* -2 c)) (* a b)) (* a (* -2 c)))) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1672 | 11208 |
| 1 | 6293 | 11082 |
| 0 | 8398 | 10560 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a))) |
(* 1/2 (/ b a)) |
(/ (+ (* -1/2 (* a (+ (* 2 (/ c b)) (/ b c)))) (* 1/2 b)) a) |
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (* -1/2 (+ (* 2 (/ c b)) (/ b c)))))) a) |
(/ (+ (* 1/2 b) (* a (+ (* -1/2 (+ (* 2 (/ c b)) (/ b c))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a) |
(* -1 (* b c)) |
(+ (* -1 (* 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 (+ (* 2 (/ (pow c 2) b)) (* a (+ (* 2 (/ (pow c 3) (pow b 3))) (* 4 (/ (* a (pow c 4)) (pow b 5))))))))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -1/2 (/ (+ (* -1 (* c (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* a b)) (* a c)))) |
(+ (* -1 (pow b 2)) (pow b 2)) |
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))) |
(* -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 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) 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)))))))) |
(* -2 (/ c b)) |
(+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))) |
(+ (* -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 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (+ (* -2 (/ c b)) (* -1 (* a (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (+ (* -2 (/ c b)) (* a (- (* -1 (* a (+ (* -1 (/ (* (pow c 2) (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow c 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* c (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -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 (* (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) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -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))) (* 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)))))) 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))) |
(* a (+ b (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))))) |
(* a (+ b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (sqrt -4))) (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))))) |
(* a (+ b (+ (* -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 (+ b (+ (* -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 (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (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))) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (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))))) |
(* (sqrt (/ c a)) (sqrt -4)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1 (/ 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))))) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* -4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2))))) (pow a 3))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -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))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -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)) (* 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)) (* -1/2 (* a b))) a))) a)) |
(* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1 b)) c)) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1 b)) c))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1 b)) c)))) |
(+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (/ (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1 b)) c))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (* -1 b)))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (+ (* -1 b) (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ (pow c 3) a)) (sqrt -1))) (+ (* -1 b) (+ (* -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 b) (+ (* -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 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c)))) |
(* 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)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -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)))))) |
(* -2 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -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 (/ (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -1 (* a b))) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))))))))))) (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b)))) c))) (+ (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* a b))))))))) a)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* a b))) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(- (pow b 2) (* 4 (* a c))) |
(>= b 0) |
(+ (* -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 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (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))))))) (* 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))))))) |
(+ (* -1/2 (/ b c)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 c))))) |
(* -1 (* (sqrt (* a (pow c 3))) (sqrt -4))) |
(+ (* -1 (* (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 (+ (* -1/2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))))) |
(- (* -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))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ 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))) |
(+ (* 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))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (- (* -1 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4)))) (* 2 (/ 1 (* a (* c (pow (sqrt -4) 4)))))))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(* -1/2 (/ (* b (+ a (* -1 c))) (* a c))) |
(* b (+ (* -1 (/ c (pow b 2))) (* -1/2 (/ (+ a (* -1 c)) (* a c))))) |
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ a (* -1 c)) (* a c)))))) |
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ a (* -1 c)) (* a c))))))) |
(* b (+ a (* -1 c))) |
(* b (+ a (+ (* -1 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))))) |
(* b (+ a (+ (* -1 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))))))) |
(* b (+ a (+ (* -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)))))))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(* 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) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* 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 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -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) |
(/ (+ (* -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) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
(* -1 (* 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))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 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))) (/ 1 a)))))) |
(* 1/2 (/ (* b (+ (* -1 a) (* -1 c))) (* a c))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (* -1/2 (/ (+ (* -1 a) (* -1 c)) (* a c)))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ (* -1 a) (* -1 c)) (* a c))))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* -1/2 (/ (+ (* -1 a) (* -1 c)) (* a c)))))))) |
(* -1 (* b (+ (* -1 a) (* -1 c)))) |
(* -1 (* b (+ (* -1 a) (+ (* -1 c) (* 2 (/ (* a (pow c 2)) (pow b 2))))))) |
(* -1 (* b (+ (* -1 a) (+ (* -1 c) (+ (* 2 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))))) |
(* -1 (* b (+ (* -1 a) (+ (* -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))))))))) |
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -1/2 (/ (+ (* -1 (* c (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* a b)) (* a c)))) |
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 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 (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* 2 (/ (* a c) 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)) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 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))) (* 2 (/ 1 a))))))) |
(* -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)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(* -1/2 (/ b c)) |
(/ (+ (* -1/2 b) (* 1/2 (/ (* b c) a))) c) |
(/ (+ (* -1/2 b) (* c (+ (* -1 (/ c b)) (* 1/2 (/ b a))))) c) |
(/ (+ (* -1/2 b) (* c (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))))) c) |
(* a b) |
(+ (* -1 (* b c)) (* a b)) |
(+ (* a b) (* c (+ (* -1 b) (* 2 (/ (* a c) b))))) |
(+ (* a b) (* c (+ (* -1 b) (* c (+ (* 2 (/ a b)) (* 2 (/ (* (pow a 2) c) (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)) |
(+ 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 (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 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)))))))) |
(* c (- (* -2 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) |
(* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) |
(* c (- (* c (+ (* -2 (/ a (pow b 3))) (* c (+ (* -4 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 2 (/ 1 b)))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* c (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* c (- (+ (* -2 (/ a b)) (* -1 (* c (+ (* -1 (/ (* a (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* c (- (+ (* -2 (/ a b)) (* c (- (* -1 (* c (+ (* -1 (/ (* (pow a 2) (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow a 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* a (+ (* -1 (/ (* a (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (+ (* -1 (/ (* a (- (* -2 (/ a b)) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow a 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* c (+ (* -1/2 (/ (+ b (* -1/2 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4))))) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -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)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -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)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* (pow c 2) (+ (* -1 (* (sqrt (/ a c)) (sqrt -4))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ (* a b) (pow c 2))))) |
(* (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)))) (/ (* a b) (pow c 2)))))) |
(* (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)))) (/ (* a b) (pow c 2))))))) |
(* c (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) 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 (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (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 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1 (/ b (* a 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)))))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (* -4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4))))) (sqrt -4)))) (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2))))) (pow c 3))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (+ (* -4 (/ b (pow (sqrt -4) 2))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* -4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (/ (+ b (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -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))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/2 (/ (+ b (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))) |
(* 2 (* (sqrt (* a (pow c 3))) (sqrt -1))) |
(* (pow c 2) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ (* a b) (pow c 2))))) |
(* (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))) (/ (* a b) (pow c 2)))))) |
(* (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))) (/ (* a b) (pow c 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a)))) |
(* -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)))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -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 (/ 1 (* a c))) (sqrt -1))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -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))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(+ (* -1 (/ (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))))))))))) (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a))) (+ (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))))) c)) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
| Outputs |
|---|
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(* 1/2 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (* a (+ (* 2 (/ c b)) (/ b c)))) (* 1/2 b)) a) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 c b) #s(literal 2 binary64) (/.f64 b c)) a) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) b)) a) |
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ (* a (pow c 2)) (pow b 3))) (* -1/2 (+ (* 2 (/ c b)) (/ b c)))))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 c b) #s(literal 2 binary64) (/.f64 b c)) #s(literal -1/2 binary64) (/.f64 (*.f64 (neg.f64 a) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) b)) a) |
(/ (+ (* 1/2 b) (* a (+ (* -1/2 (+ (* 2 (/ c b)) (/ b c))) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (fma.f64 (/.f64 c b) #s(literal 2 binary64) (/.f64 b c)) #s(literal -1/2 binary64))) a (*.f64 #s(literal 1/2 binary64) b)) a) |
(* -1 (* b c)) |
(*.f64 (neg.f64 b) c) |
(+ (* -1 (* b c)) (* a (+ b (* 2 (/ (pow c 2) b))))) |
(fma.f64 (neg.f64 b) c (*.f64 (fma.f64 (/.f64 (*.f64 c c) b) #s(literal 2 binary64) b) a)) |
(+ (* -1 (* b c)) (* a (+ b (+ (* 2 (/ (* a (pow c 3)) (pow b 3))) (* 2 (/ (pow c 2) b)))))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 a (pow.f64 (/.f64 c b) #s(literal 3 binary64)) (/.f64 (*.f64 c c) b)) b) a (*.f64 (neg.f64 b) c)) |
(+ (* -1 (* b c)) (* a (+ b (+ (* 2 (/ (pow c 2) b)) (* a (+ (* 2 (/ (pow c 3) (pow b 3))) (* 4 (/ (* a (pow c 4)) (pow b 5))))))))) |
(fma.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 (pow.f64 (/.f64 c b) #s(literal 3 binary64)) #s(literal 2 binary64))) a (*.f64 (/.f64 (*.f64 c c) b) #s(literal 2 binary64))) b) a (*.f64 (neg.f64 b) c)) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -1/2 (/ (+ (* -1 (* c (sqrt (+ (* -4 (* a c)) (pow b 2))))) (* a b)) (* a c)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (fma.f64 (neg.f64 c) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 a b)) (*.f64 c a)) #s(literal -1/2 binary64))) |
(+ (* -1 (pow b 2)) (pow b 2)) |
(*.f64 #s(literal 0 binary64) (*.f64 b b)) |
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 b b))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 b b))) a))) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 a (/.f64 c b)) b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a b) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) |
(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a (*.f64 #s(literal 2 binary64) b)) |
(* -2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -2 binary64)) |
(+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))) |
(*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) |
(+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) |
(+ (* -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))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) |
(* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) |
(*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 c b) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (+ (* -2 (/ c b)) (* -1 (* a (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 c b) #s(literal -2 binary64) (fma.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64) (neg.f64 (*.f64 (/.f64 (fma.f64 (/.f64 c b) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64))))) b) (/.f64 c b)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)) (* a (- (+ (* -2 (/ c b)) (* a (- (* -1 (* a (+ (* -1 (/ (* (pow c 2) (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 4))) (+ (* -1 (/ (* (pow c 3) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 7))) (/ (* c (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))) (pow b 2)))))) (+ (* -1 (/ (* c (- (* -2 (/ c b)) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))))) (pow b 2))) (* -1/2 (/ (* (pow c 2) (+ (* -1 (pow b 2)) (pow b 2))) (pow b 5))))))) (* -1/2 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 c b) #s(literal -2 binary64) (fma.f64 (-.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 c c) (/.f64 (fma.f64 (/.f64 c b) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64))))) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64) (neg.f64 (*.f64 (/.f64 (fma.f64 (/.f64 c b) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64))))) b) (/.f64 c b)))) b) (/.f64 c b) (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 7 binary64))))))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))) #s(literal -1/2 binary64) (neg.f64 (*.f64 (/.f64 (fma.f64 (/.f64 c b) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64))))) b) (/.f64 c b))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) c) (pow.f64 b #s(literal 3 binary64)))))) a (*.f64 (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b) #s(literal 1/2 binary64))) |
(* -4 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 (-.f64 (/.f64 (*.f64 b b) a) (*.f64 #s(literal 4 binary64) c)) a) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal -2 binary64)) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -2 binary64) (*.f64 (/.f64 b #s(literal -4 binary64)) #s(literal 2 binary64))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 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))))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 c a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 b #s(literal -4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) a) (/.f64 #s(literal -1/2 binary64) a))))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -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))) (* 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)))))) a) |
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(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (*.f64 (/.f64 a c) (/.f64 b c))))) (*.f64 c c)) |
(* (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))) (/ (* a b) (pow c 2))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (*.f64 (/.f64 a c) (/.f64 b c)))))) (*.f64 c c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) c))))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 b c) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) c)) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))) |
(* -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))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))) |
(* -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)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) 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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c)) b) c)))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c))) c)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) 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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c) #s(literal -1 binary64) b) c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/4 binary64) (/.f64 (neg.f64 b) a)) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -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))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) c) #s(literal -1 binary64) (/.f64 (neg.f64 b) a)) c)))) |
(+ (* -1 (/ (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 c b))) c))) |
(+ (* -1 (/ (- (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 c b)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 (neg.f64 (neg.f64 b)) c))) c))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))))))))))) (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c)))) a))) (+ (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* -1 (* b c))))))))) c)) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* -1 (* b c))) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b))) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 c b))))))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 c b))) (*.f64 b b)) a) #s(literal -1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 c b))))))) c))) (*.f64 (neg.f64 b) c)) c))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 579 |
| 0 | 112 | 568 |
| 1 | 346 | 535 |
| 2 | 2191 | 535 |
| 0 | 8561 | 535 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(>=.f64 b #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) c))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) c)))) |
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 (pow.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (*.f64 (neg.f64 b) b)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (*.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) #s(literal 2 binary64))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fabs.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (*.f64 (neg.f64 b) b)))))) |
(/.f64 (fabs.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (fabs.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))))) |
(/.f64 (fabs.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (fabs.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))))) |
(/.f64 (fabs.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64))))) (fabs.f64 (neg.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) |
(/.f64 (fabs.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64))))) (fabs.f64 (neg.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)))) (fabs.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fabs.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)))) |
(/.f64 (fabs.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (fabs.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fabs.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) b) b))))) |
(/.f64 (fabs.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fabs.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))) |
(/.f64 (sqrt.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)) #s(literal 2 binary64)))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))))) |
(/.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (*.f64 (neg.f64 b) b))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) b) b))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64))) (fma.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) b) b)))) |
(/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (neg.f64 c) (*.f64 a #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (neg.f64 c) (*.f64 a #s(literal 4 binary64)))) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 c) (*.f64 a #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (*.f64 #s(literal -4 binary64) c) a)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 (neg.f64 (neg.f64 b)) b)) |
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(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 b)) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (neg.f64 b) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 b)) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (neg.f64 b) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (neg.f64 (neg.f64 b)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (neg.f64 b) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 b (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (neg.f64 b) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (neg.f64 (neg.f64 b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (neg.f64 b) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 b (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (neg.f64 b) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 b (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (*.f64 b b) (fma.f64 b b (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (neg.f64 b) (/.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 b (/.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (/.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (-.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 (neg.f64 b)) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(+.f64 (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
Compiled 119 561 to 7 042 computations (94.1% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 682 | 8 | 1 690 |
| Fresh | 9 | 3 | 12 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 696 | 11 | 1 707 |
| Status | Accuracy | Program |
|---|---|---|
| 66.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) | |
| 52.3% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) | |
| ▶ | 70.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
| 58.8% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) | |
| ▶ | 70.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
| 54.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))) | |
| ▶ | 70.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
| ▶ | 47.1% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
| ▶ | 73.5% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
| 52.3% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) | |
| 72.9% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
Compiled 1 330 to 724 computations (45.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) | |
| cost-diff | 1 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 3 | (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) c) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) | |
| cost-diff | 0 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) c) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) | |
| cost-diff | 0 | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) c) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) | |
| cost-diff | 2 | (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 992 |
| 0 | 128 | 988 |
| 1 | 221 | 963 |
| 2 | 448 | 958 |
| 3 | 1208 | 954 |
| 4 | 4000 | 936 |
| 0 | 8179 | 932 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
#s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b) |
(fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) |
(/.f64 #s(literal -2 binary64) b) |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
#s(literal 2 binary64) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 c a) |
#s(literal -4 binary64) |
(*.f64 b b) |
#s(literal 1/2 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
c |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) b) |
#s(literal -2 binary64) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) |
(neg.f64 b) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) |
(*.f64 #s(literal 2 binary64) a) |
a |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 c a) |
a |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
c |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) |
(neg.f64 b) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
#s(literal -2 binary64) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) |
(*.f64 #s(literal 2 binary64) a) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(*.f64 #s(literal 2 binary64) c) |
#s(literal 2 binary64) |
c |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b)) |
(fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) |
(/.f64 #s(literal -2 binary64) b) |
#s(literal -2 binary64) |
(*.f64 a (/.f64 c b)) |
(/.f64 c b) |
(*.f64 #s(literal 2 binary64) a) |
| Outputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) (*.f64 #s(literal 2 binary64) b)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) (*.f64 #s(literal 2 binary64) b)))) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) (*.f64 #s(literal 2 binary64) b)))) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
#s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)) |
#s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) (*.f64 #s(literal 2 binary64) b))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b) |
(fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) (*.f64 #s(literal 2 binary64) b)) |
(fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal -2 binary64) b) #s(literal 2 binary64)) |
(/.f64 #s(literal -2 binary64) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 (/.f64 c b) a) |
a |
(/.f64 c b) |
#s(literal 2 binary64) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 c a) |
(*.f64 a c) |
#s(literal -4 binary64) |
(*.f64 b b) |
#s(literal 1/2 binary64) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (neg.f64 b)) (*.f64 a #s(literal 2 binary64)))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
#s(literal 2 binary64) |
c |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) b) |
#s(literal -2 binary64) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (neg.f64 b)) (*.f64 a #s(literal 2 binary64))) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) |
(+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (neg.f64 b)) |
(neg.f64 b) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
a |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 c a) |
(*.f64 a c) |
a |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)))) (/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (neg.f64 b)) (*.f64 a #s(literal 2 binary64)))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)))) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
#s(literal 2 binary64) |
c |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b))) |
(neg.f64 b) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 (/.f64 c b) a) |
a |
(/.f64 c b) |
#s(literal -2 binary64) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (neg.f64 b)) (*.f64 a #s(literal 2 binary64))) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) |
(+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (neg.f64 b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) c) a (*.f64 #s(literal -2 binary64) b))) (*.f64 a #s(literal 2 binary64)))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) |
(*.f64 #s(literal 2 binary64) c) |
(*.f64 c #s(literal 2 binary64)) |
#s(literal 2 binary64) |
c |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 (*.f64 a #s(literal 4 binary64)) c) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) c) a (*.f64 #s(literal -2 binary64) b))) (*.f64 a #s(literal 2 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) c) a (*.f64 #s(literal -2 binary64) b))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b)) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) c) a (*.f64 #s(literal -2 binary64) b)) |
(fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal -2 binary64) b) #s(literal 2 binary64)) |
(/.f64 #s(literal -2 binary64) b) |
#s(literal -2 binary64) |
(*.f64 a (/.f64 c b)) |
(*.f64 (/.f64 c b) a) |
(/.f64 c b) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.076811992042766 | (*.f64 a (/.f64 c b)) | |
| accuracy | 12.841702409604787 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 24.771048216503594 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 40.69811717481208 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) | |
| accuracy | 12.841702409604787 | (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) | |
| accuracy | 14.239721838158188 | (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) | |
| accuracy | 40.89650539118595 | #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) | |
| accuracy | 41.156956164537945 | #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) | |
| accuracy | 0.9960937500000001 | (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) | |
| accuracy | 3.2399227833580717 | (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) | |
| accuracy | 12.841702409604787 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) | |
| accuracy | 24.771048216503594 | (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) | |
| accuracy | 4.404531452008124 | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.239721838158188 | (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) | |
| accuracy | 40.47406464318353 | #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) | |
| accuracy | 41.156956164537945 | #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) | |
| accuracy | 5.076811992042766 | (*.f64 a (/.f64 c b)) | |
| accuracy | 14.239721838158188 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) | |
| accuracy | 24.771048216503594 | (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) | |
| accuracy | 40.51535589540281 | #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)) |
| 95.0ms | 84× | 2 | valid |
| 51.0ms | 74× | 1 | valid |
| 42.0ms | 80× | 0 | valid |
| 39.0ms | 18× | 3 | valid |
Compiled 795 to 56 computations (93% saved)
ival-mult: 41.0ms (25.6% of total)ival-div: 28.0ms (17.5% of total)adjust: 26.0ms (16.2% of total)ival-sqrt: 20.0ms (12.5% of total)ival-sub: 19.0ms (11.9% of total)ival-add: 17.0ms (10.6% of total)ival-if: 7.0ms (4.4% of total)ival->=: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(>=.f64 b #s(literal 0 binary64)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) |
(*.f64 #s(literal 2 binary64) c) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 #s(literal -2 binary64) c) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b)) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(*.f64 a (/.f64 c b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| Outputs |
|---|
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))) |
(+ (* 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 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(/ (* a c) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* a (+ (* -2 (/ c b)) (* 2 (/ b a)))) |
(* -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 (* (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) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -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))) (* 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)))))) 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))))) |
(* 2 (/ (* a c) b)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* 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))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -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))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -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)) (* 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)) (* -1/2 (* a b))) 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 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -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 (* 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 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b) |
(>= b 0) |
(+ (* -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 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (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))))))) (* 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))))))) |
(+ 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 (pow b 2)) (* 2 (* a c))) b) |
(- (pow b 2) (* 4 (* a c))) |
(+ (* 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))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -2 (/ c (+ b (sqrt (+ (* -4 (* 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 (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* 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 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 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))) |
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a))) |
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
(* -1 (* 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))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 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))) (/ 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)))))) |
(* -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))) (* -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 (/ (- (* 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 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(* 2 c) |
(* -2 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)))))))) |
(+ 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)))) (* 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 (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* 2 (/ b c)))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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 (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* 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 (- (* -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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (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 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -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 (- (/ 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 (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | c | @ | -inf | ((* (+ (* (/ -2 b) (* a (/ c b))) 2) b) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) 1/2)) (>= b 0) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* 2 c) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* (+ (* (/ -2 b) (* a (/ c b))) 2) (neg b)) (- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (* a (/ c b)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (* c a) -4) (* b b)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 4.0ms | c | @ | inf | ((* (+ (* (/ -2 b) (* a (/ c b))) 2) b) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) 1/2)) (>= b 0) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* 2 c) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* (+ (* (/ -2 b) (* a (/ c b))) 2) (neg b)) (- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (* a (/ c b)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (* c a) -4) (* b b)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 3.0ms | a | @ | -inf | ((* (+ (* (/ -2 b) (* a (/ c b))) 2) b) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) 1/2)) (>= b 0) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* 2 c) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* (+ (* (/ -2 b) (* a (/ c b))) 2) (neg b)) (- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (* a (/ c b)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (* c a) -4) (* b b)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 3.0ms | a | @ | inf | ((* (+ (* (/ -2 b) (* a (/ c b))) 2) b) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) 1/2)) (>= b 0) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* 2 c) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* (+ (* (/ -2 b) (* a (/ c b))) 2) (neg b)) (- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (* a (/ c b)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (* c a) -4) (* b b)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 3.0ms | b | @ | -inf | ((* (+ (* (/ -2 b) (* a (/ c b))) 2) b) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) 1/2)) (>= b 0) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* 2 c) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* (+ (* (/ -2 b) (* a (/ c b))) 2) (neg b)) (- (* b b) (* (* 4 a) c)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (* a (/ c b)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (* c a) -4) (* b b)) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1028 | 5984 |
| 1 | 3681 | 5914 |
| 0 | 8070 | 5629 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))) |
(+ (* 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 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(/ (* a c) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* a (+ (* -2 (/ c b)) (* 2 (/ b a)))) |
(* -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 (* (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) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -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))) (* 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)))))) 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))))) |
(* 2 (/ (* a c) b)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* 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))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (/ 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -1 (* a (+ (* -2 (/ b a)) (* 2 (/ c b))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -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))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -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)) (* 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)) (* -1/2 (* a b))) 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 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -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 (* 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 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) b) |
(>= b 0) |
(+ (* -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 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (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))))))) (* 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))))))) |
(+ 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 (pow b 2)) (* 2 (* a c))) b) |
(- (pow b 2) (* 4 (* a c))) |
(+ (* 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))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -2 (/ c (+ b (sqrt (+ (* -4 (* 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 (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* 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 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 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))) |
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a))) |
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
(* -1 (* 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))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 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))) (/ 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)))))) |
(* -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))) (* -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 (/ (- (* 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 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(* 2 c) |
(* -2 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)))))))) |
(+ 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)))) (* 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 (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* c (+ (* -2 (/ a b)) (* 2 (/ b c)))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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 (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* 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 (- (* -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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (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 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -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 (- (/ 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 (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
| Outputs |
|---|
(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 b b))) a))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a (*.f64 #s(literal 2 binary64) b)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a b) |
(* -2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* a (+ (* -2 (/ c b)) (* 2 (/ b a)))) |
(*.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal -2 binary64)) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) b) #s(literal -4 binary64))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 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))))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 c a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 b #s(literal -4 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) a) (/.f64 #s(literal -1/2 binary64) a))))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -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))) (* 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)))))) a) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 c a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (/.f64 b #s(literal -4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 a c))) (*.f64 b (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 a a) (/.f64 (pow.f64 b #s(literal 3 binary64)) c)))) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) a) (/.f64 #s(literal -1/2 binary64) a)))))) a) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) a) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) a) |
(* 2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(*.f64 (fma.f64 (/.f64 b a) #s(literal -2 binary64) (*.f64 (/.f64 c b) #s(literal 2 binary64))) a) |
(* -4 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) a) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 b) a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) a) |
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(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 b a) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64)))) c) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 b a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/16 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64))))) c) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* -1 (* c (+ (* -2 (/ b c)) (* 2 (/ a b))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64)))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) (neg.f64 c))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64))) (-.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) a) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) a)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64)))) c) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) (neg.f64 c))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 (neg.f64 b) c))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) (neg.f64 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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) c) #s(literal -1 binary64) b) (neg.f64 c)))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -2 binary64)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))) |
(* -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))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))) |
(* -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)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) (neg.f64 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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 b c) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 678 |
| 0 | 128 | 674 |
| 1 | 392 | 641 |
| 2 | 2357 | 641 |
| 0 | 8528 | 641 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(>=.f64 b #s(literal 0 binary64)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) |
(*.f64 #s(literal 2 binary64) c) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 #s(literal -2 binary64) c) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b)) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(*.f64 a (/.f64 c b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal -2 binary64) b) #s(literal 2 binary64)) b) |
(*.f64 b (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal -2 binary64) b) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64))) #s(literal 4 binary64)) b)) (neg.f64 (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) (/.f64 c b)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 3 binary64)) #s(literal 8 binary64)) b)) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) (*.f64 (/.f64 c b) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 b (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64))) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) (/.f64 c b)) #s(literal 2 binary64)))) |
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(/.f64 (-.f64 (*.f64 b b) (pow.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) #s(literal 2 binary64))) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) (neg.f64 b))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) #s(literal 3 binary64))) (fma.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) (neg.f64 b)) (*.f64 b b))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) (neg.f64 b)) (*.f64 b b))) (/.f64 (pow.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) (neg.f64 b)) (*.f64 b b)))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) (neg.f64 b))) (/.f64 (pow.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) (neg.f64 b)))) |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal -2 binary64) b) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))))) |
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))) |
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (fabs.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))))) |
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (*.f64 (neg.f64 b) b)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) b) b))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (neg.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (*.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) (*.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
Compiled 76 683 to 4 662 computations (93.9% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 898 | 12 | 910 |
| Fresh | 4 | 2 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 904 | 17 | 921 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 c c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
| 66.0% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) | |
| 64.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ -2 b) (* a (/ c b))) 2) (neg b)) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c))) (*.f64 #s(literal 2 binary64) a))) | |
| 46.8% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))))))) | |
| 54.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))) | |
| ✓ | 70.7% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
| 70.6% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) | |
| 36.4% | (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) | |
| ▶ | 25.4% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
| ✓ | 47.1% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
| ▶ | 34.6% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b))) |
| ▶ | 7.1% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
| 25.4% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| 47.0% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) | |
| ▶ | 72.9% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
| 72.9% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 3 binary64)) #s(literal 8 binary64)) b) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) (*.f64 (/.f64 c b) #s(literal 2 binary64))))))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) | |
| ✓ | 73.5% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
Compiled 2 192 to 1 140 computations (48% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) c) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| cost-diff | 0 | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) | |
| cost-diff | 7 | (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (+.f64 c c) | |
| cost-diff | 0 | (/.f64 (+.f64 c c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 c c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) | |
| cost-diff | 0 | (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) c) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b)) | |
| cost-diff | 0 | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b))) | |
| cost-diff | 0 | (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) c) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)) | |
| cost-diff | 0 | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) | |
| cost-diff | 0 | (>=.f64 b #s(literal 0 binary64)) | |
| cost-diff | 0 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 872 |
| 0 | 126 | 870 |
| 1 | 222 | 859 |
| 2 | 433 | 824 |
| 3 | 1126 | 804 |
| 4 | 3424 | 804 |
| 0 | 8230 | 804 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 c a) |
a |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
#s(literal 1/2 binary64) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
(+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b) |
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b)) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
(+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b) |
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) |
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b) |
(/.f64 (*.f64 c a) b) |
(*.f64 c a) |
a |
b |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 c c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (+.f64 c c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) |
(+.f64 c c) |
c |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) |
(neg.f64 b) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
#s(literal -2 binary64) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(neg.f64 b) |
b |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
a |
(*.f64 b b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
| Outputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)) (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(*.f64 c a) |
(*.f64 a c) |
a |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) |
#s(literal 1/2 binary64) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) b))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) b)) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
(+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b) |
(+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) b) |
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) |
(neg.f64 b) |
b |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)) b))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)) b)) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
(+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b) |
(+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)) b) |
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)) |
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b) |
(fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b) |
(/.f64 (*.f64 c a) b) |
(/.f64 (*.f64 a c) b) |
(*.f64 c a) |
(*.f64 a c) |
a |
b |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 c c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)))) (/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (neg.f64 b)) (*.f64 a #s(literal 2 binary64)))) |
(>=.f64 b #s(literal 0 binary64)) |
b |
#s(literal 0 binary64) |
(/.f64 (+.f64 c c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) |
(/.f64 (*.f64 c #s(literal 2 binary64)) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)))) |
(+.f64 c c) |
(*.f64 c #s(literal 2 binary64)) |
c |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b))) |
(neg.f64 b) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b) |
(*.f64 a (/.f64 c b)) |
(/.f64 (*.f64 a c) b) |
a |
(/.f64 c b) |
#s(literal -2 binary64) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (neg.f64 b)) (*.f64 a #s(literal 2 binary64))) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) |
(+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (neg.f64 b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a c))) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 a c))) c) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b)) |
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(neg.f64 b) |
b |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
a |
(*.f64 b b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 14.239721838158188 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 15.501632035897757 | (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 24.771048216503594 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 42.33327656774155 | (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 12.841702409604787 | (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) | |
| accuracy | 14.239721838158188 | (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) | |
| accuracy | 40.89650539118595 | #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) | |
| accuracy | 41.156956164537945 | #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) | |
| accuracy | 3.2399227833580717 | (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b)) | |
| accuracy | 4.3408367953235505 | (/.f64 (*.f64 c a) b) | |
| accuracy | 12.841702409604787 | (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b) | |
| accuracy | 40.89650539118595 | #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) | |
| accuracy | 0.0 | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) | |
| accuracy | 3.2399227833580717 | (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)) | |
| accuracy | 12.841702409604787 | (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b) | |
| accuracy | 41.156956164537945 | #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) | |
| accuracy | 4.4054474030987345 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) | |
| accuracy | 12.841702409604787 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) | |
| accuracy | 14.239721838158188 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) | |
| accuracy | 24.771048216503594 | (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
| 208.0ms | 82× | 2 | valid |
| 57.0ms | 74× | 1 | valid |
| 34.0ms | 80× | 0 | valid |
| 28.0ms | 20× | 3 | valid |
Compiled 719 to 59 computations (91.8% saved)
ival-add: 80.0ms (33.4% of total)adjust: 56.0ms (23.4% of total)ival-div: 35.0ms (14.6% of total)ival-mult: 28.0ms (11.7% of total)ival-sqrt: 15.0ms (6.3% of total)ival-if: 12.0ms (5% of total)ival-sub: 11.0ms (4.6% of total)ival->=: 1.0ms (0.4% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(>=.f64 b #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)) |
(*.f64 #s(literal -2 binary64) c) |
(+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b)) |
(+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 c c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (+.f64 c c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) |
(+.f64 c c) |
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) |
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) |
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) |
(/.f64 (*.f64 c a) b) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
| Outputs |
|---|
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))) |
(* 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 (pow b 2)) (pow b 2)) |
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) |
(* 4 (/ (* a (pow c 2)) (* b (+ (* -1 (pow b 2)) (pow b 2))))) |
(* a (+ (* -2 (* a (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow c 3) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))))) (* 4 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))))) |
(* a (+ (* 4 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* a (+ (* -2 (* a (- (* -4 (/ (pow c 4) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow c 3) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -2 (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow c 3) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))))))) |
(* a (+ (* 4 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* a (+ (* -2 (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow c 3) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (* a (+ (* -2 (* a (- (* -1/2 (/ (* c (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -4 (/ (pow c 4) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow c 3) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (+ (* -1 (pow b 2)) (pow b 2)))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -2 (- (* -4 (/ (pow c 4) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow c 3) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (+ (* -1 (pow b 2)) (pow b 2)))))))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -2 (/ c b)) |
(+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))) |
(+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(/ (* a c) b) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c))) |
(/ (+ (* -1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a) |
(/ (+ (* -1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))) (/ (* c (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 2 b)) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a) |
(/ (+ (* -1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* 2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))) (/ (* c (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* -1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (* -1 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))) (/ (* c (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a) |
(* -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 (* (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) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -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))) (* 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)))))) 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))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -2 (/ (- (* 1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -2 (/ (- (* -1/8 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) c))) (pow a 2))) (+ (* -2 (/ (- (* 1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -2 (/ (- (* -1/8 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) c))) (pow a 2))) (+ (* -2 (/ (- (* 1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) a)) (+ (* -1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/8 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) c)))) (* (pow a 3) c))) (* 1/2 (* (sqrt (/ c a)) (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 -4)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1 (/ 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))))) |
(* -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 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -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))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -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)) (* 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)) (* -1/2 (* a b))) 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 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 2 (/ (- (* -1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -2 (- (* -1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* 2 (/ (- (* 1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) c))) a))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -2 (- (* -1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -1 (/ (+ (* -2 (- (* 1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) c)))) (* -1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) c)))) (* a c)))) 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)))))) |
(* -2 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -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 (- (/ 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 (/ (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* a b)))))) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* a b))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) a)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(>= b 0) |
(+ (* -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 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (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))))))) (* 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))))))) |
(+ 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 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ 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))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (- (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (* 2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(* 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 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (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))))))) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -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) |
(* 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 (+ 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)))))) |
(* 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))))))) |
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a))) |
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 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))) (/ 1 a)))))) |
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(* 2 (/ (* a c) 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 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
(* -1 (* 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))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -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)))))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 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))) (* 2 (/ 1 a))))))) |
(* -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 (/ (+ (* -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)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(* -2 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)))))))) |
(* 2 c) |
(* (pow c 2) (+ (* -2 (* c (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow a 2) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))))) (* 4 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))))) |
(* (pow c 2) (+ (* 4 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* c (+ (* -2 (* c (- (* -4 (/ (pow a 3) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* a (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow a 2) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -2 (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow a 2) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))))))) |
(* (pow c 2) (+ (* 4 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* c (+ (* -2 (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow a 2) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (* c (+ (* -2 (* c (- (* -1/2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* a (- (* -4 (/ (pow a 3) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* a (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow a 2) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (+ (* -1 (pow b 2)) (pow b 2)))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -2 (- (* -4 (/ (pow a 3) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* a (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow a 2) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (+ (* -1 (pow b 2)) (pow b 2)))))))))))) |
(+ 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 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) |
(* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) |
(* c (- (* c (+ (* -2 (/ a (pow b 3))) (* c (+ (* -4 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 2 (/ 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)) |
(/ (+ (* -1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c) |
(/ (+ (* -1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))) (/ (* a (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 2 b)) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c) |
(/ (+ (* -1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* 2 b) (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))) (/ (* a (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* -1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 2))) (* 2 (/ (* (pow a 2) (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (* -1 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))) (/ (* a (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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 (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c)))) |
(* c (+ (* -2 (/ (- (* 1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -2 (/ (- (* -1/8 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) a))) (pow c 2))) (+ (* -2 (/ (- (* 1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -2 (/ (- (* -1/8 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) a))) (pow c 2))) (+ (* -2 (/ (- (* 1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) c)) (+ (* -1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/8 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) a)))) (* a (pow c 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* 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 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1 (/ b (* a 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 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (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 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a)))) |
(* -1 (* c (+ (* -2 (/ (- (* -1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2 (/ (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) a))) c)) (* 2 (- (* -1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) a)))) (* a c))) (* 2 (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) a))))) c)) (* 2 (- (* -1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))))) c)) (* (sqrt (/ 1 (* 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 (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -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))) c)) (* 2 (* (sqrt (/ 1 (* 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 (/ (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* b c)))))) (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* b c))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* b c)))))) (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* b c)))))) (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | a | @ | inf | ((if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) 1/2)) (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (if (>= b 0) (/ (+ c c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (+ c c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (+ c c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) (sqrt (+ (* (* c a) -4) (* b b))) (sqrt (+ (* (* c a) -4) (* b b))) (/ (* c a) b) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) |
| 8.0ms | b | @ | inf | ((if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) 1/2)) (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (if (>= b 0) (/ (+ c c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (+ c c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (+ c c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) (sqrt (+ (* (* c a) -4) (* b b))) (sqrt (+ (* (* c a) -4) (* b b))) (/ (* c a) b) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) |
| 7.0ms | c | @ | inf | ((if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) 1/2)) (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (if (>= b 0) (/ (+ c c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (+ c c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (+ c c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) (sqrt (+ (* (* c a) -4) (* b b))) (sqrt (+ (* (* c a) -4) (* b b))) (/ (* c a) b) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) |
| 6.0ms | c | @ | -inf | ((if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) 1/2)) (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (if (>= b 0) (/ (+ c c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (+ c c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (+ c c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) (sqrt (+ (* (* c a) -4) (* b b))) (sqrt (+ (* (* c a) -4) (* b b))) (/ (* c a) b) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) |
| 6.0ms | a | @ | -inf | ((if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) 1/2)) (>= b 0) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (if (>= b 0) (/ (+ c c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (/ (+ c c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (+ c c) (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/ (* -2 c) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b))) (sqrt (+ (* (* c a) -4) (* b b))) (- (sqrt (+ (* (* c a) -4) (* b b))) b) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (/ (- (sqrt (+ (* (* c a) -4) (* b b))) b) a) (sqrt (+ (* (* c a) -4) (* b b))) (sqrt (+ (* (* c a) -4) (* b b))) (/ (* c a) b) (sqrt (- (* b b) (* (* 4 a) c))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1518 | 10020 |
| 1 | 5608 | 9879 |
| 0 | 8191 | 9420 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))) |
(* 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 (pow b 2)) (pow b 2)) |
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) |
(* 4 (/ (* a (pow c 2)) (* b (+ (* -1 (pow b 2)) (pow b 2))))) |
(* a (+ (* -2 (* a (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow c 3) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))))) (* 4 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))))) |
(* a (+ (* 4 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* a (+ (* -2 (* a (- (* -4 (/ (pow c 4) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow c 3) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -2 (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow c 3) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))))))) |
(* a (+ (* 4 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* a (+ (* -2 (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow c 3) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (* a (+ (* -2 (* a (- (* -1/2 (/ (* c (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -4 (/ (pow c 4) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow c 3) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (+ (* -1 (pow b 2)) (pow b 2)))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -2 (- (* -4 (/ (pow c 4) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow c 3) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (+ (* -1 (pow b 2)) (pow b 2)))))))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -2 (/ c b)) |
(+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))) |
(+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(/ (* a c) b) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) (* a c))) |
(/ (+ (* -1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a) |
(/ (+ (* -1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))) (/ (* c (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 2 b)) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a) |
(/ (+ (* -1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) c)) (* a (- (+ (* 2 b) (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))) (/ (* c (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* -1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (pow c 2))) (* 2 (/ (* (pow c 2) (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (* -1 (/ (* c (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))) (/ (* c (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) a) |
(* -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 (* (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) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -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))) (* 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)))))) 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))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (+ (* -1 (/ (pow b 2) a)) (/ (pow b 2) a)))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -2 (/ (- (* 1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -2 (/ (- (* -1/8 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) c))) (pow a 2))) (+ (* -2 (/ (- (* 1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -2 (/ (- (* -1/8 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) c))) (pow a 2))) (+ (* -2 (/ (- (* 1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) a)) (+ (* -1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/8 (* (sqrt (/ a c)) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 b) (* 1/16 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) c)))) (* (pow a 3) c))) (* 1/2 (* (sqrt (/ c a)) (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 -4)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1 (/ 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))))) |
(* -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 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* a (* (pow b 2) (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2)))))) (* c (pow (sqrt -4) 2)))) (* (sqrt (/ a c)) (/ (* b (+ (* -2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ a c)) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow a 3))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b (- (* (sqrt (/ a c)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* 4 (/ (* a b) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -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))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -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)) (* 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)) (* -1/2 (* a b))) 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 (* a (+ (* -1 (/ (+ (* -1 (pow b 2)) (pow b 2)) a)) (* 4 c)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* 2 (/ (- (* -1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -2 (- (* -1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* 2 (/ (- (* 1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) c))) a))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -2 (- (* -1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -1 (/ (+ (* -2 (- (* 1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) c)))) (* -1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/16 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 b) (* 1/8 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) c)))) (* a c)))) 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)))))) |
(* -2 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b a))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a))) |
(+ (* -2 (* (sqrt (/ c a)) (sqrt -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 (- (/ 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 (/ (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* a b)))))) (+ (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* a b))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* a b)))))) (* 1/4 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) a)) (* 1/2 (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(>= b 0) |
(+ (* -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 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (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))))))) (* 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))))))) |
(+ 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 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ 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))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (- (* -1 (* b (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (* 2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 4 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2))))))) |
(* 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 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (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))))))) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -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) |
(* 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 (+ 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)))))) |
(* 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))))))) |
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (sqrt (- (pow b 2) (* 4 (* a c)))) (* -1 b)) a))) |
(if (>= b 0) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)))) (* 1/2 (/ (+ (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b)) a))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* 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))) (/ 1 a)))))) |
(if (>= b 0) (* 2 (/ c (- (* -1 b) (sqrt (- (pow b 2) (* 4 (* a c))))))) (* -2 (/ c (- (sqrt (+ (* -4 (* a c)) (pow b 2))) (* -1 b))))) |
(* 2 (/ (* a c) 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 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
(* -1 (* 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))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -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)))))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ c (pow b 2))) (+ (* -2 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 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))) (* 2 (/ 1 a))))))) |
(* -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 (/ (+ (* -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)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 1 b))) |
(* -2 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)))))))) |
(* 2 c) |
(* (pow c 2) (+ (* -2 (* c (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow a 2) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))))) (* 4 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))))) |
(* (pow c 2) (+ (* 4 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* c (+ (* -2 (* c (- (* -4 (/ (pow a 3) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* a (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow a 2) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -2 (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow a 2) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))))))) |
(* (pow c 2) (+ (* 4 (/ a (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* c (+ (* -2 (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow a 2) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (* c (+ (* -2 (* c (- (* -1/2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* a (- (* -4 (/ (pow a 3) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* a (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow a 2) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (+ (* -1 (pow b 2)) (pow b 2)))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -2 (- (* -4 (/ (pow a 3) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* a (- (* -2 (/ (pow a 2) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow a 2) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (+ (* -1 (pow b 2)) (pow b 2)))))))))))) |
(+ 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 (/ (* a c) (pow b 3))) (* 2 (/ 1 b)))) |
(* c (- (* c (+ (* -4 (/ (* (pow a 2) c) (pow b 5))) (* -2 (/ a (pow b 3))))) (* 2 (/ 1 b)))) |
(* c (- (* c (+ (* -2 (/ a (pow b 3))) (* c (+ (* -4 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 2 (/ 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)) |
(/ (+ (* -1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c) |
(/ (+ (* -1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))) (/ (* a (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2))))) (* 2 b)) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c) |
(/ (+ (* -1/2 (/ (* b (+ (* -1 (pow b 2)) (pow b 2))) a)) (* c (- (+ (* 2 b) (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))) (/ (* a (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))) (pow b 2))) (+ (* -1/8 (/ (* b (* (+ (* -1 (pow b 2)) (pow b 2)) (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (pow a 2))) (* 2 (/ (* (pow a 2) (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 4))))))) (+ (* -1 (/ (* a (+ (* -1 (pow b 2)) (pow b 2))) (pow b 3))) (/ (* a (- (* 2 b) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b)))) (pow b 2)))))) (* -1/2 (/ (+ (* -1 (pow b 2)) (pow b 2)) b))))) c) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (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 (+ (* -4 a) (+ (* -1 (/ (pow b 2) c)) (/ (pow b 2) c)))) |
(* c (+ (* -2 (/ (- (* 1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -2 (/ (- (* -1/8 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) a))) (pow c 2))) (+ (* -2 (/ (- (* 1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) c)) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -2 (/ (- (* -1/8 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) a))) (pow c 2))) (+ (* -2 (/ (- (* 1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2)))))) c)) (+ (* -1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/8 (* (sqrt (/ c (pow a 3))) (/ (pow b 2) (sqrt -4)))) (* -1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/4 (/ b a)) (* 1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -4) (+ (* -1 (pow b 2)) (pow b 2))))))) a)))) (* a (pow c 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* 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 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -4)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1 (/ b (* a 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 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(- (+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b 2) (* c (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2)))))) (* a (pow (sqrt -4) 2)))) (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* -1 (* (sqrt (/ c a)) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))))) (sqrt -4)))) (pow c 3))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b (- (* (sqrt (/ c a)) (/ (+ (* -1 (pow b 2)) (pow b 2)) (sqrt -4))) (* 4 (/ (* b c) (pow (sqrt -4) 2))))) (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (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 (/ (+ (* -1 (pow b 2)) (pow b 2)) c)) (* 4 a)))) |
(* -1 (* c (+ (* -2 (/ (- (* -1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2 (/ (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) a))) c)) (* 2 (- (* -1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) a)))) (* a c))) (* 2 (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (/ (* (+ (* -1 (pow b 2)) (pow b 2)) (- (* -1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) a))))) c)) (* 2 (- (* -1/4 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))))) c)) (* (sqrt (/ 1 (* 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 (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -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))) c)) (* 2 (* (sqrt (/ 1 (* 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 (/ (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* b c)))))) (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* b c))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* b c)))))) (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* b c)))))) (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
| Outputs |
|---|
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (- (sqrt (- (pow b 2) (* 4 (* a c)))) b) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))) (* 1/2 (/ (- (sqrt (+ (* -4 (* a c)) (pow b 2))) b) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal -2 binary64) (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (neg.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) |
(if (>= b 0) (* -2 (/ c (+ b (sqrt (- (pow b 2) (* 4 (* a c))))))) (* 1/2 (/ (+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) (* a (+ b (sqrt (+ (* -4 (* a c)) (pow b 2)))))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 b b))) a))) |
(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a (*.f64 #s(literal 2 binary64) b)) |
(+ (* -1 (pow b 2)) (pow b 2)) |
(*.f64 #s(literal 0 binary64) (*.f64 b b)) |
(+ (* -4 (* a c)) (+ (* -1 (pow b 2)) (pow b 2))) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 b b))) |
(* 4 (/ (* a (pow c 2)) (* b (+ (* -1 (pow b 2)) (pow b 2))))) |
(*.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 b b))) (/.f64 (*.f64 (*.f64 c c) a) b)) |
(* a (+ (* -2 (* a (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow c 3) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2))))))) (* 4 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 b b))) (pow.f64 (/.f64 c b) #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) b) (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 b b))) (/.f64 (*.f64 c c) b))) a) |
(* a (+ (* 4 (/ (pow c 2) (* b (+ (* -1 (pow b 2)) (pow b 2))))) (* a (+ (* -2 (* a (- (* -4 (/ (pow c 4) (* (pow b 5) (+ (* -1 (pow b 2)) (pow b 2))))) (* -4 (/ (* c (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow c 3) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))) (+ (* -1 (pow b 2)) (pow b 2))))))) (* -2 (- (* -2 (/ (pow c 3) (* (pow b 3) (+ (* -1 (pow b 2)) (pow b 2))))) (* 8 (/ (pow c 3) (* b (pow (+ (* -1 (pow b 2)) (pow b 2)) 2)))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 b b))) (pow.f64 (/.f64 c b) #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) b) (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 2 binary64))))) #s(literal 0 binary64)) (/.f64 c (*.f64 b b))))) a (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 #s(literal 0 binary64) (*.f64 b b))) (pow.f64 (/.f64 c b) #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) b) (pow.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) #s(literal 2 binary64))))))) a (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 0 binary64) (*.f64 b b))) (/.f64 (*.f64 c c) b))) a) |
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(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))) |
(* -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))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))) |
(* -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)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) 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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) c)) b) c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (/ b (* a c))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) #s(literal 2 binary64) (/.f64 (/.f64 b a) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/4 binary64) (/.f64 (neg.f64 b) a)) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -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))) c)) (* 2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) c) #s(literal -1 binary64) (/.f64 (neg.f64 b) a)) c)))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 b c) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 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)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) c)) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(+ (* -1 (/ (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 c) b)) c))) |
(+ (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* b c)))))) (+ (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))))) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 c) b))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 c b)) c))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* b c))) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* b c)))))) (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (- (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2))))) (* b c)))))) (* 1/4 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* 1/2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (pow b 2)) (pow b 2)))))) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 b b))) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 c) b))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 c) b)) (*.f64 b b)) a) #s(literal -1/8 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 #s(literal 0 binary64) (*.f64 b b))) #s(literal 1/2 binary64) (*.f64 (neg.f64 c) b))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) c))) (*.f64 c b)) c))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 736 |
| 0 | 126 | 708 |
| 1 | 433 | 646 |
| 2 | 2728 | 646 |
| 0 | 9288 | 646 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64))) |
(>=.f64 b #s(literal 0 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b)) |
(*.f64 #s(literal -2 binary64) c) |
(+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b)) |
(+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 c c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (+.f64 c c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) |
(+.f64 c c) |
(fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) |
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) |
#s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) |
(/.f64 (*.f64 c a) b) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
| Outputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 c (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal -2 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 c (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal -2 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 #s(literal 1/2 binary64) a))) |
(>=.f64 b #s(literal 0 binary64)) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b)))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 c (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 c (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (neg.f64 c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal -2 binary64) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
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(neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)))) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
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(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 b)) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (neg.f64 b) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 b)) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (neg.f64 b) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (neg.f64 (neg.f64 b)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (neg.f64 b) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 b (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (neg.f64 b) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (neg.f64 (neg.f64 b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (neg.f64 b) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 b (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (/.f64 (neg.f64 b) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 b (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (/.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (*.f64 b b) (fma.f64 b b (neg.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 (neg.f64 b) (/.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(fma.f64 b (/.f64 (neg.f64 b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (/.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 b) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) c) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (-.f64 (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 b) b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 (neg.f64 b)) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
(+.f64 (/.f64 (*.f64 (neg.f64 b) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
Compiled 91 686 to 5 262 computations (94.3% saved)
21 alts after pruning (18 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 882 | 11 | 893 |
| Fresh | 2 | 7 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 2 | 1 | 3 |
| Total | 889 | 21 | 910 |
| Status | Accuracy | Program |
|---|---|---|
| 64.2% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ -2 b) (* a (/ c b))) 2) (neg b)) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c))) (*.f64 #s(literal 2 binary64) a))) | |
| 54.9% | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))) | |
| 70.6% | (if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) | |
| 36.4% | (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) | |
| 7.8% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) | |
| 1.7% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))) | |
| 46.3% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 #s(approx (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) | |
| ✓ | 47.1% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
| 36.8% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) b))) | |
| 36.8% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 (/.f64 a b) c) #s(literal -2 binary64) b)) b))) | |
| ✓ | 7.1% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
| 15.0% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b))) c (*.f64 (*.f64 b (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a))) #s(literal -1/2 binary64))) c)))) | |
| 36.8% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)))) | |
| 28.7% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))))) | |
| 36.6% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))) | |
| 25.4% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) | |
| 47.0% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) | |
| 34.5% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)) b)))) | |
| 50.0% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) | |
| ✓ | 72.9% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
| 72.9% | #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 3 binary64)) #s(literal 8 binary64)) b) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) (*.f64 (/.f64 c b) #s(literal 2 binary64))))))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
Compiled 4 725 to 1 150 computations (75.7% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 (/.f64 a b) c) #s(literal -2 binary64) b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 c c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) c))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) c) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ -2 b) (* a (/ c b))) 2) (neg b)) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 a (/.f64 c b))) #s(literal 2 binary64)) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 #s(approx (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 (/.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) c) (*.f64 a b)) (*.f64 a (*.f64 #s(literal -2 binary64) c)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #s(literal 2 binary64)) a (*.f64 a (/.f64 b #s(literal -2 binary64)))) (*.f64 a a))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (neg.f64 b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (-.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal 2 binary64)) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 b b)) b))) c (*.f64 (*.f64 b (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 b b) a))) #s(literal -1/2 binary64))) c)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (fma.f64 (neg.f64 b) b (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (fma.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) c)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 3 binary64)) #s(literal 8 binary64)) b) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) (*.f64 (/.f64 c b) #s(literal 2 binary64))))))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))))))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))) |
4 calls:
| 21.0ms | b |
| 16.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| 13.0ms | c |
| 13.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 5 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| 76.4% | 2 | a |
| 92.0% | 3 | b |
| 78.0% | 3 | c |
Compiled 41 to 29 computations (29.3% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 (/.f64 a b) c) #s(literal -2 binary64) b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 c c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) c))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b)))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) c) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ -2 b) (* a (/ c b))) 2) (neg b)) (*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) b) (*.f64 a (/.f64 c b))) #s(literal 2 binary64)) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #s(literal -2 binary64)))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))) |
1 calls:
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 (/.f64 a b) c) #s(literal -2 binary64) b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 c c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))) |
1 calls:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 (/.f64 a b) c) #s(literal -2 binary64) b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 c c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 (sqrt.f64 (neg.f64 b)) (sqrt.f64 (neg.f64 b)) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b)))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) 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) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 (/.f64 a b) c) #s(literal -2 binary64) b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))) |
1 calls:
| 27.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b)) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 (/.f64 a b) c) #s(literal -2 binary64) b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64) b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
4 calls:
| 4.0ms | a |
| 4.0ms | c |
| 4.0ms | b |
| 4.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.7% | 1 | a |
| 70.7% | 1 | c |
| 70.7% | 1 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| 70.7% | 1 | b |
Compiled 41 to 29 computations (29.3% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
4 calls:
| 8.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| 2.0ms | c |
| 2.0ms | a |
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.6% | 1 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| 70.6% | 1 | a |
| 70.6% | 1 | b |
| 70.6% | 1 | c |
Compiled 41 to 29 computations (29.3% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
| Outputs |
|---|
(if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))) |
4 calls:
| 2.0ms | c |
| 2.0ms | a |
| 2.0ms | b |
| 2.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.1% | 4 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| 41.9% | 3 | a |
| 70.7% | 2 | b |
| 41.6% | 3 | c |
Compiled 41 to 29 computations (29.3% saved)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
| Outputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))) |
2 calls:
| 2.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.4% | 2 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| 43.0% | 2 | b |
Compiled 39 to 23 computations (41% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
| Outputs |
|---|
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
4 calls:
| 4.0ms | c |
| 1.0ms | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| 1.0ms | b |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.8% | 1 | c |
| 7.8% | 1 | a |
| 7.8% | 1 | (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
| 7.8% | 1 | b |
Compiled 41 to 29 computations (29.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 4.608924379994051e+58 | 6.1286242197863836e+69 |
| 18.0ms | -2.297644075786652e+158 | -1.2557995989751656e+156 |
| 36.0ms | 272× | 0 | valid |
| 1.0ms | 11× | 0 | invalid |
Compiled 2 376 to 1 327 computations (44.1% saved)
ival-mult: 15.0ms (51.2% of total)ival-div: 4.0ms (13.7% of total)ival-sub: 3.0ms (10.2% of total)ival-sqrt: 2.0ms (6.8% of total)ival-add: 1.0ms (3.4% of total)ival-if: 1.0ms (3.4% of total)ival->=: 1.0ms (3.4% of total)ival-neg: 1.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 4.608924379994051e+58 | 6.1286242197863836e+69 |
| 25.0ms | -9.549217270880059e+40 | -9.599364556269038e+35 |
| 18.0ms | 144× | 0 | valid |
| 1.0ms | 9× | 0 | invalid |
Compiled 2 572 to 1 392 computations (45.9% saved)
ival-mult: 7.0ms (49.5% of total)ival-div: 2.0ms (14.2% of total)ival-add: 1.0ms (7.1% of total)ival-if: 1.0ms (7.1% of total)ival-sub: 1.0ms (7.1% of total)ival-sqrt: 1.0ms (7.1% of total)ival-neg: 1.0ms (7.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival->=: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 4.608924379994051e+58 | 6.1286242197863836e+69 |
| 2.0ms | -9.549217270880059e+40 | -9.599364556269038e+35 |
Compiled 2 572 to 1 449 computations (43.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 4.608924379994051e+58 | 6.1286242197863836e+69 |
| 31.0ms | -3.7415838855205574e-59 | -3.845250820839721e-75 |
| 19.0ms | 160× | 0 | valid |
| 4.0ms | 37× | 0 | invalid |
Compiled 2 591 to 1 476 computations (43% saved)
ival-mult: 8.0ms (46.6% of total)ival-div: 2.0ms (11.6% of total)ival-sub: 2.0ms (11.6% of total)ival-add: 1.0ms (5.8% of total)ival-if: 1.0ms (5.8% of total)ival-sqrt: 1.0ms (5.8% of total)ival->=: 1.0ms (5.8% of total)ival-neg: 1.0ms (5.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 4.608924379994051e+58 | 6.1286242197863836e+69 |
| 2.0ms | -3.7415838855205574e-59 | -3.845250820839721e-75 |
Compiled 2 591 to 1 476 computations (43% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 83.0ms | 8.827461817508529e-306 | 3.965017753396963e-300 |
| 66.0ms | 144× | 0 | valid |
| 8.0ms | 76× | 0 | invalid |
Compiled 1 112 to 629 computations (43.4% saved)
ival-mult: 6.0ms (35.8% of total)ival-div: 3.0ms (17.9% of total)ival-sub: 2.0ms (11.9% of total)ival-add: 1.0ms (6% of total)ival-if: 1.0ms (6% of total)ival-sqrt: 1.0ms (6% of total)ival->=: 1.0ms (6% of total)ival-neg: 1.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | -4.800098997239873e-33 | -2.077926905567351e-41 |
| 15.0ms | 144× | 0 | valid |
| 3.0ms | 29× | 0 | invalid |
Compiled 1 346 to 746 computations (44.6% saved)
ival-mult: 5.0ms (39.2% of total)ival-div: 2.0ms (15.7% of total)ival-sub: 2.0ms (15.7% of total)ival-add: 1.0ms (7.8% of total)ival-if: 1.0ms (7.8% of total)ival-sqrt: 1.0ms (7.8% of total)ival->=: 1.0ms (7.8% of total)ival-neg: 1.0ms (7.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 1430 |
| 1 | 194 | 1419 |
| 2 | 355 | 1353 |
| 3 | 910 | 1331 |
| 4 | 2728 | 1309 |
| 5 | 7556 | 1309 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 b #s(literal -1300000000000000092688780615197781858625648134518548089437686412408392299409896385296624565948871491729224683832973714804113137924438514778601929080360140800 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 5799999999999999654434560579925134552545058000795235532636057809977344 binary64)) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))))) |
(if (<=.f64 b #s(literal -95000000000000003490430179863849422815232 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 5799999999999999654434560579925134552545058000795235532636057809977344 binary64)) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))))) |
(if (<=.f64 b #s(literal -95000000000000003490430179863849422815232 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 5799999999999999654434560579925134552545058000795235532636057809977344 binary64)) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))))) |
(if (<=.f64 b #s(literal -4168515212543383/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 5799999999999999654434560579925134552545058000795235532636057809977344 binary64)) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))))) |
(if (<=.f64 b #s(literal -4168515212543383/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 5799999999999999654434560579925134552545058000795235532636057809977344 binary64)) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (<=.f64 b #s(literal 7115704217835139/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b))))) |
(if (<=.f64 b #s(literal -3507603929594167/730750818665451459101842416358141509827966271488 binary64)) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b))))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -1300000000000000092688780615197781858625648134518548089437686412408392299409896385296624565948871491729224683832973714804113137924438514778601929080360140800 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 5799999999999999654434560579925134552545058000795235532636057809977344 binary64)) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))))) |
(if (<=.f64 b #s(literal -1300000000000000092688780615197781858625648134518548089437686412408392299409896385296624565948871491729224683832973714804113137924438514778601929080360140800 binary64)) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 5799999999999999654434560579925134552545058000795235532636057809977344 binary64)) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))))) |
(if (<=.f64 b #s(literal -95000000000000003490430179863849422815232 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 5799999999999999654434560579925134552545058000795235532636057809977344 binary64)) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))))) |
(if (<=.f64 b #s(literal -95000000000000003490430179863849422815232 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 5799999999999999654434560579925134552545058000795235532636057809977344 binary64)) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))) (if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))) (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) a) #s(literal 1/2 binary64)))) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))))) |
(if (<=.f64 b #s(literal -4168515212543383/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 5799999999999999654434560579925134552545058000795235532636057809977344 binary64)) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b))) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))))) |
(if (<=.f64 b #s(literal -4168515212543383/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) (if (<=.f64 b #s(literal 5799999999999999654434560579925134552545058000795235532636057809977344 binary64)) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (*.f64 c (/.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b)))))) |
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) c) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 #s(literal -2 binary64) b))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (>=.f64 b #s(literal 0 binary64)) (*.f64 c (/.f64 #s(literal 2 binary64) #s(approx (- (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 b #s(literal -2 binary64))))) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) |
(if (<=.f64 b #s(literal 7115704217835139/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) (if (>=.f64 b #s(literal 0 binary64)) #s(approx (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/.f64 (neg.f64 b) a)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a))) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b))))) |
(if (<=.f64 b #s(literal -3507603929594167/730750818665451459101842416358141509827966271488 binary64)) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) #s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (*.f64 #s(literal -2 binary64) c) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b))))) |
#s(approx (if (>= b 0) (/ (* 2 c) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (/ (/ (+ (* (neg b) b) (+ (* (* -4 c) a) (* b b))) (+ (sqrt (+ (* (* -4 c) a) (* b b))) b)) (* 2 a))) (/.f64 (+.f64 c c) (+.f64 #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (neg.f64 b)) b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 736 |
| 0 | 126 | 708 |
| 1 | 433 | 646 |
| 2 | 2728 | 646 |
| 0 | 9288 | 646 |
| 0 | 892 | 4689 |
| 1 | 3165 | 4554 |
| 0 | 9442 | 4354 |
| 0 | 84 | 678 |
| 0 | 128 | 674 |
| 1 | 392 | 641 |
| 2 | 2357 | 641 |
| 0 | 8528 | 641 |
| 0 | 1028 | 5984 |
| 1 | 3681 | 5914 |
| 0 | 8070 | 5629 |
| 0 | 69 | 579 |
| 0 | 112 | 568 |
| 1 | 346 | 535 |
| 2 | 2191 | 535 |
| 0 | 8561 | 535 |
| 0 | 1518 | 10020 |
| 1 | 5608 | 9879 |
| 0 | 8191 | 9420 |
| 0 | 20 | 120 |
| 0 | 33 | 120 |
| 1 | 95 | 120 |
| 2 | 609 | 116 |
| 3 | 7889 | 116 |
| 0 | 8110 | 108 |
| 0 | 1672 | 11208 |
| 1 | 6293 | 11082 |
| 0 | 8398 | 10560 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 2 417 to 849 computations (64.9% saved)
Compiled 2 936 to 302 computations (89.7% saved)
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