
Time bar (total: 6.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 2.3% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 11.3% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 21.1% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 28% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 40.1% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 28 computations (31.7% saved)
| 1.2s | 5 392× | 0 | valid |
| 621.0ms | 2 612× | 1 | valid |
| 184.0ms | 1 311× | 0 | invalid |
const: 340.0ms (25.9% of total)ival-mult: 261.0ms (19.9% of total)ival-<: 164.0ms (12.5% of total)ival-sub: 108.0ms (8.2% of total)ival-div: 103.0ms (7.9% of total)ival-sqrt: 91.0ms (6.9% of total)adjust: 68.0ms (5.2% of total)ival-add: 61.0ms (4.7% of total)ival-neg: 61.0ms (4.7% of total)ival-and: 38.0ms (2.9% of total)exact: 10.0ms (0.8% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (/.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)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 2 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 0 |
| - | 0 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 0 |
| - | 0 | 1 | 1 |
| number | freq |
|---|---|
| 0 | 2 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 1.0ms | 6× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 231 to 60 computations (74% saved)
adjust: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 158 |
| 1 | 162 | 144 |
| 2 | 463 | 144 |
| 3 | 1233 | 144 |
| 4 | 3210 | 144 |
| 5 | 6057 | 144 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 40 | 16 |
| 2 | 77 | 16 |
| 3 | 160 | 16 |
| 4 | 240 | 16 |
| 5 | 381 | 16 |
| 6 | 662 | 16 |
| 7 | 1129 | 16 |
| 8 | 2243 | 16 |
| 9 | 2519 | 16 |
| 10 | 2629 | 16 |
| 11 | 2684 | 16 |
| 12 | 2685 | 16 |
| 13 | 2685 | 16 |
| 14 | 2691 | 16 |
| 0 | 2691 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
Compiled 17 to 14 computations (17.6% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.5% | (/.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 17 to 14 computations (17.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.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 | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 0 | 23 | 70 |
| 1 | 40 | 68 |
| 2 | 77 | 68 |
| 3 | 160 | 68 |
| 4 | 240 | 68 |
| 5 | 381 | 68 |
| 6 | 662 | 68 |
| 7 | 1129 | 68 |
| 8 | 2243 | 68 |
| 9 | 2519 | 68 |
| 10 | 2629 | 68 |
| 11 | 2684 | 68 |
| 12 | 2685 | 68 |
| 13 | 2685 | 68 |
| 14 | 2691 | 68 |
| 0 | 2691 | 64 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | |
| accuracy | 0 | (neg.f64 b) | |
| accuracy | 0.5 | (/.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 | 12.396414988979421 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 0.0ms | 3× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 142 to 30 computations (78.9% saved)
adjust: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -2 (/ (* a c) b)) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* 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)))))))) (taylor 0 c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 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))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* 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))) (taylor inf c) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (/ (pow b 2) c) (* 4 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (/ (pow b 2) c) (* 4 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (/ (pow b 2) c) (* 4 a))) (taylor inf c) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) (taylor inf c) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (+ (* -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)))))) (taylor inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (patch (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (patch (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (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))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | c | @ | 0 | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 3.0ms | c | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 3.0ms | b | @ | 0 | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 3.0ms | b | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 2.0ms | a | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 545 | 3273 |
| 1 | 1738 | 3232 |
| 2 | 6070 | 3204 |
| 0 | 8235 | 3047 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ c 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))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* 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))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -4 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* (sqrt (/ c a)) (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))))) |
(* -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)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(* 1/2 (* (sqrt (/ c a)) (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 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (/ c b)) |
(/ (+ (* -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))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 b) |
(* -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)))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -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 b) |
(* -1 b) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -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))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* 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)))))) |
(* (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)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -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))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
| Outputs |
|---|
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 a b))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b)))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* 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))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 20 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) (*.f64 a a) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -4 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 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 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 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 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))))) c) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 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 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #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 #s(literal 1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/2 binary64))))) c) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -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 (sqrt.f64 (/.f64 a c)) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))) c) b) c))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (*.f64 b (/.f64 b c))) c) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) |
(* -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 #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))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 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))))) |
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(* -2 (* (sqrt (* a c)) (sqrt -1))) |
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* -2 (/ (* a c) b)) |
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(pow b 2) |
(*.f64 b b) |
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b |
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(* 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))))))) |
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(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
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(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
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(* -1 (/ b a)) |
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(* -1 b) |
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(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
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(neg.f64 b) |
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(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
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(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a) |
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(* 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 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c #s(literal -2 binary64)) c) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) 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 (neg.f64 c) (/.f64 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))) (* -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 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (neg.f64 c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (/.f64 (neg.f64 c) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (*.f64 a (*.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 5 binary64))))) #s(literal -4 binary64) (*.f64 (fma.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) #s(literal -2 binary64))) a b) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) a)))) a) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.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)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(+ (* -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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) |
(+ (* -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 #s(literal 1/64 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) a) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64)) (neg.f64 b)) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)))) a) b) a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(-.f64 (*.f64 (/.f64 b a) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) 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))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 a))) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 76 | 49 |
| 2 | 536 | 48 |
| 3 | 6864 | 48 |
| 0 | 8158 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| Outputs |
|---|
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Compiled 18 694 to 2 137 computations (88.6% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 587 | 6 | 593 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 588 | 6 | 594 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 28.4% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 80.8% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) |
| ▶ | 80.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| ▶ | 43.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| ▶ | 51.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
| 51.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (*.f64 c (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b))))) |
Compiled 246 to 142 computations (42.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) | |
| cost-diff | 0 | (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) a) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| cost-diff | 0 | #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) | |
| cost-diff | 0 | (neg.f64 c) | |
| cost-diff | 0 | (/.f64 (neg.f64 c) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) c) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) | |
| cost-diff | 64 | (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) | |
| cost-diff | 7040 | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 482 |
| 0 | 81 | 518 |
| 1 | 151 | 509 |
| 2 | 363 | 425 |
| 3 | 1275 | 425 |
| 4 | 5817 | 425 |
| 0 | 9143 | 425 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
a |
(fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
b |
(*.f64 b (-.f64 b (sqrt.f64 (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)))) |
(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 b b) |
(/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))) |
(-.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
b |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) |
(neg.f64 b) |
b |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) |
(*.f64 c #s(literal -2 binary64)) |
c |
#s(literal -2 binary64) |
(/.f64 a b) |
a |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) |
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) |
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) |
(/.f64 c b) |
c |
b |
(/.f64 (*.f64 c a) b) |
(*.f64 c a) |
a |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
a |
(fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) |
b |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 a (*.f64 c #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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -8 binary64) (*.f64 a c))) a)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) b) (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal -8 binary64) (*.f64 a c))) a) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
b |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)) b) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) |
(-.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)) b) |
(neg.f64 b) |
b |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) |
(fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b) |
(*.f64 c #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) c) |
c |
#s(literal -2 binary64) |
(/.f64 a b) |
a |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
(*.f64 b b) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) |
(/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)) |
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) |
(/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) b) |
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) |
(fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) |
(/.f64 c b) |
c |
b |
(/.f64 (*.f64 c a) b) |
(*.f64 (/.f64 c b) a) |
(*.f64 c a) |
(*.f64 a c) |
a |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) | |
| accuracy | 0.5 | (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) | |
| accuracy | 0.5 | (/.f64 (*.f64 c a) b) | |
| accuracy | 30.885356393196094 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) | |
| accuracy | 0 | (*.f64 #s(literal -4 binary64) c) | |
| accuracy | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| accuracy | 0.75 | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 12.396414988979421 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 0.25 | (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) | |
| accuracy | 0.5 | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 12.396414988979421 | (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) | |
| accuracy | 31.546846210499815 | #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) | |
| accuracy | 0 | (/.f64 (neg.f64 c) b) | |
| accuracy | 0 | (neg.f64 c) | |
| accuracy | 36.11757593972556 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| accuracy | 0.5 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) | |
| accuracy | 0.5 | (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) | |
| accuracy | 12.396414988979421 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 12.396414988979421 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
| 1.0ms | 3× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 888 to 85 computations (90.4% saved)
adjust: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 c) b) (patch (/.f64 (neg.f64 c) b) #<representation binary64>) () ()) |
#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ()) |
#s(alt (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (patch (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) (patch (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (patch (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) #<representation binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c a) b) (patch (/.f64 (*.f64 c a) b) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ()) |
#s(alt (* 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))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 c) (#s(alt (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2))))) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4))))))) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -4 a) (* 2 a))) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -4 a) (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2)))))) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -4 a) (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4)))))))) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
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#s(alt (* 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)))))) (taylor inf c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* a (pow c 2)) (pow b 2)) (taylor inf c) (#s(alt (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (patch (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 (/ (* a c) b)) (taylor inf c) (#s(alt (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (/ b c))) (taylor inf c) (#s(alt (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (/ b c))) (taylor inf c) (#s(alt (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -2 (/ a b)) (/ b c))) (taylor inf c) (#s(alt (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (/.f64 (*.f64 c a) b) (patch (/.f64 (*.f64 c a) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (/.f64 (*.f64 c a) b) (patch (/.f64 (*.f64 c a) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor inf c) (#s(alt (/.f64 (*.f64 c a) b) (patch (/.f64 (*.f64 c a) b) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1/2 a) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 a) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 a) (taylor inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* a (pow c 2)) (pow b 3)) (taylor inf a) (#s(alt (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) (patch (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* a c) b) (taylor inf a) (#s(alt (/.f64 (*.f64 c a) b) (patch (/.f64 (*.f64 c a) b) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -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))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))) (taylor -inf a) (#s(alt (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) (patch #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (/ 1/2 a) (taylor -inf a) (#s(alt (/.f64 #s(literal 1/2 binary64) a) (patch (/.f64 #s(literal 1/2 binary64) a) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -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))) (taylor -inf a) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a (pow c 2)) (pow b 3))) (taylor -inf a) (#s(alt (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) (patch (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 2)) (pow b 3)) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) (patch (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) (patch (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) (patch (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) (taylor -inf a) (#s(alt (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) (patch (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 2)) (pow b 2)) (taylor -inf a) (#s(alt (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (patch (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (patch (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (patch (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) (taylor -inf a) (#s(alt (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) (patch (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -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)))))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (sqrt (* a c)) (* b (sqrt -1)))) (taylor -inf a) (#s(alt (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (pow b 2) a))))) (taylor -inf a) (#s(alt (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (pow b 2)) a))))) (taylor -inf a) (#s(alt (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1))))) a)) (pow b 2)) a))))) (taylor -inf a) (#s(alt (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ (* a c) b)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) (patch (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (*.f64 c a) b) (patch (/.f64 (*.f64 c a) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (*.f64 c a) b) (patch (/.f64 (*.f64 c a) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (*.f64 c a) b) (patch (/.f64 (*.f64 c a) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor -inf a) (#s(alt (/.f64 (*.f64 c a) b) (patch (/.f64 (*.f64 c a) b) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | a | @ | -inf | ((* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* 2 a)))) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (+ (* (* c -2) (/ a b)) b) (/ (* c a) b)) |
| 8.0ms | c | @ | 0 | ((* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* 2 a)))) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (+ (* (* c -2) (/ a b)) b) (/ (* c a) b)) |
| 6.0ms | c | @ | -inf | ((* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* 2 a)))) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (+ (* (* c -2) (/ a b)) b) (/ (* c a) b)) |
| 5.0ms | a | @ | inf | ((* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* 2 a)))) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (+ (* (* c -2) (/ a b)) b) (/ (* c a) b)) |
| 4.0ms | c | @ | inf | ((* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* 2 a)))) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg c) b) (neg c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (* (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b)) (/ 1/2 a) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* (/ c b) (/ (* c a) b)) c) b)) (/ (+ (* (/ c b) (/ (* c a) b)) c) b) (+ (* (/ c b) (/ (* c a) b)) c) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (+ (* (* c -2) (/ a b)) b) (/ (* c a) b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1042 | 14485 |
| 1 | 3511 | 14256 |
| 0 | 8084 | 13653 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c 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))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(pow b 2) |
(+ (* 2 (* a c)) (pow b 2)) |
(+ (* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2))))) (pow b 2)) |
(+ (* c (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4))))))) (pow b 2)) |
(pow b 2) |
(+ (* c (+ (* -4 a) (* 2 a))) (pow b 2)) |
(+ (* c (+ (* -4 a) (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2)))))) (pow b 2)) |
(+ (* c (+ (* -4 a) (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4)))))))) (pow b 2)) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -1 (/ c 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))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* -1 (/ c 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))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1 (/ c 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))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1 (/ c 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))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
c |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* 2 (/ (* a c) b)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* 2 (* a c)) |
(* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2))))) |
(* c (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4))))))) |
(* c (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* c (+ (* 1/2 (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (* 4 (/ (pow a 3) (pow b 4))))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* 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 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) c)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) c))))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) c)))))) |
(* c (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) c))))) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) c)))))) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) c))))))) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* 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 b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* 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))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* 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))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* 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 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (/ (pow b 2) c))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (/ (pow b 2) c)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (/ (pow b 2) c))))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1 (* (sqrt (/ c a)) (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))))) |
(* 2 (* (sqrt (* a c)) (* b (sqrt -1)))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -2 (/ (pow b 2) c))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) c))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1))))) c)) (* 2 (pow b 2))) c))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (+ (* -2 (/ (pow b 2) c)) (* 4 a))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) c)) (* 4 a))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1))))) c)) (* 2 (pow b 2))) c)) (* 4 a))))) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -1 (* (sqrt (/ c a)) (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 b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -1 c) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* (sqrt (/ c a)) (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))))) |
(* -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 (* (sqrt (/ c a)) (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))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* (sqrt (/ c a)) (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 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 (* (sqrt (* a c)) (* b (sqrt -1)))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1 (/ (pow b 2) c))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (pow b 2)) c))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1))))) c)) (pow b 2)) c))))) |
(* -2 (/ (* a c) b)) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* 1/2 (* (sqrt (/ c a)) (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 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 b))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 2 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (* -1 (* (sqrt (* a c)) (* b (sqrt -4))))) |
(+ (* -4 (* a c)) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 b)))) |
(+ (* -4 (* a c)) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 2 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4))))))))) |
(* 1/2 (* (sqrt (/ c a)) (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 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* 1/2 (* (sqrt (/ c a)) (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 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* 1/2 (* (sqrt (/ c a)) (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))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* 1/2 (* (sqrt (/ c a)) (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 (/ (* a (pow c 2)) (pow b 3))) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* b (+ b (* -1 (* (sqrt (* a c)) (sqrt -4))))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))))) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1 (/ c b)) |
(/ (+ (* -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))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(pow b 2) |
(* (pow b 2) (- (+ 1 (* -4 (/ (* a c) (pow b 2)))) (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (+ (* -4 (/ (* a c) (pow 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 (/ c b)) |
(/ (+ (* -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))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -1 (/ c b)) |
(/ (+ (* -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))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -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))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -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))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ c b)) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ c b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(* 2 (/ (* a c) b)) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* 2 (* a c)) |
(+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) |
(+ (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -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)))))) |
(* 3 (pow b 2)) |
(* (pow b 2) (+ 3 (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 2) (+ 3 (+ (* -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))))))) |
(* 3 (pow b 2)) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -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 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -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 b) |
(* -1 b) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -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)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -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 (/ c b)) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(/ c b) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 2) (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
b |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -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))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(pow b 2) |
(+ (* 2 (* a c)) (pow b 2)) |
(+ (* a (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2))))) (pow b 2)) |
(+ (* a (+ (* 2 c) (* a (+ (* 2 (/ (pow c 2) (pow b 2))) (* 4 (/ (* a (pow c 3)) (pow b 4))))))) (pow b 2)) |
(pow b 2) |
(+ (* a (+ (* -4 c) (* 2 c))) (pow b 2)) |
(+ (* a (+ (* -4 c) (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))))) (pow b 2)) |
(+ (* a (+ (* -4 c) (+ (* 2 c) (* a (+ (* 2 (/ (pow c 2) (pow b 2))) (* 4 (/ (* a (pow c 3)) (pow b 4)))))))) (pow b 2)) |
(* -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))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -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))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1 (/ 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))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -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))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1 (/ c b)) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* 2 (* a c)) |
(* a (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2))))) |
(* a (+ (* 2 c) (* a (+ (* 2 (/ (pow c 2) (pow b 2))) (* 4 (/ (* a (pow c 3)) (pow b 4))))))) |
(* a (+ (* 2 c) (* a (+ (* 2 (/ (pow c 2) (pow b 2))) (* a (+ (* 1/2 (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (* 4 (/ (pow c 3) (pow b 4))))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* -2 (/ (* a c) b))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* 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 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) a)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) a))))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) a)))))) |
(* a (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))) |
(* a (+ (* -4 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) a))))) |
(* a (+ (* -4 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) a)))))) |
(* a (+ (* -4 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) 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)))))) |
(* (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)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* 1/2 (* (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)))))) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* 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 (pow c 2)) (pow b 3))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (/ (pow b 2) a))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (/ (pow b 2) a)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (/ (pow b 2) a))))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 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))) |
(* 2 (* (sqrt (* a c)) (* b (sqrt -1)))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -2 (/ (pow b 2) a))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) a))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1))))) a)) (* 2 (pow b 2))) a))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (+ (* -2 (/ (pow b 2) a)) (* 4 c))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) a)) (* 4 c))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1))))) a)) (* 2 (pow b 2))) a)) (* 4 c))))) |
(* -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))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -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))) |
(* -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 (* (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))) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(/ 1/2 a) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -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 (pow c 2)) (pow b 3))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* 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)))))) |
(* 2 (* (sqrt (* a c)) (* b (sqrt -1)))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (pow b 2) a))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (pow b 2)) a))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1))))) a)) (pow b 2)) a))))) |
(* -2 (/ (* a c) b)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* 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))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(pow b 2) |
(*.f64 b b) |
(+ (* 2 (* a c)) (pow b 2)) |
(fma.f64 #s(literal 2 binary64) (*.f64 a c) (*.f64 b b)) |
(+ (* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2))))) (pow b 2)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 c b) a)) c (*.f64 b b)) |
(+ (* c (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4))))))) (pow b 2)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 a a) b) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 4 binary64)))) c (*.f64 #s(literal 2 binary64) a)) c (*.f64 b b)) |
(pow b 2) |
(*.f64 b b) |
(+ (* c (+ (* -4 a) (* 2 a))) (pow b 2)) |
(fma.f64 (*.f64 a #s(literal -2 binary64)) c (*.f64 b b)) |
(+ (* c (+ (* -4 a) (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2)))))) (pow b 2)) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 (*.f64 a a) c) b) (*.f64 a #s(literal -2 binary64))) c (*.f64 b b)) |
(+ (* c (+ (* -4 a) (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4)))))))) (pow b 2)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 a a) b) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 4 binary64)))) c (*.f64 a #s(literal -2 binary64))) c (*.f64 b b)) |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* 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))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* 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))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* 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))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* 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))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) a) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(/ c b) |
(/.f64 c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
c |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) c) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) c) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) c) |
(* 2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c) |
(* 2 (* a c)) |
(*.f64 #s(literal 2 binary64) (*.f64 a c)) |
(* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 c b) a)) c) |
(* c (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 a a) b) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 4 binary64)))) c (*.f64 #s(literal 2 binary64) a)) c) |
(* c (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* c (+ (* 1/2 (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (* 4 (/ (pow a 3) (pow b 4))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64)))) c (*.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 (*.f64 a a) b))) c (*.f64 #s(literal 2 binary64) a)) c) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 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 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 a c)) #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 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 binary64))))) c) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) b)) (sqrt.f64 (*.f64 a c))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) c)))) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) c) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) b))) c) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) c))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 b b) c) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) b)))) c) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) c)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) b) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 5 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))))) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 b b) c) #s(literal 2 binary64))))) c) |
(* c (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))) |
(*.f64 (-.f64 (*.f64 #s(literal -4 binary64) a) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) b))) c) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) c))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal 2 binary64) (-.f64 (*.f64 #s(literal -4 binary64) a) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) b)))) c) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) c)))))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 b b) c) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) b))))) c) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) c))))))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) b) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 5 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))))) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 b b) c) #s(literal 2 binary64)))))) c) |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
(* -4 c) |
(*.f64 #s(literal -4 binary64) c) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 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 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 a c)) #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 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 binary64))))) c) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c)))) c) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b (neg.f64 c))))) c) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 b (*.f64 a c)) #s(literal -1/2 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)))))) |
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(* 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))))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* -1 (/ (* a (pow c 2)) (pow b 3))) |
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(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
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(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
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(/ (* a c) b) |
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(/ (* a c) b) |
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(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
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(pow b 2) |
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(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 #s(literal -2 binary64) (/.f64 c b))) a b) |
(* -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))) |
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(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(* -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 (*.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 #s(literal -2 binary64) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
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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) (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)))))))) |
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(* -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))) |
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(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(/ c b) |
(/.f64 c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c) |
(* 2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
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(* 2 (* a c)) |
(*.f64 #s(literal 2 binary64) (*.f64 a c)) |
(* a (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2))))) |
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) a) |
(* a (+ (* 2 c) (* a (+ (* 2 (/ (pow c 2) (pow b 2))) (* 4 (/ (* a (pow c 3)) (pow b 4))))))) |
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(* a (+ (* 2 c) (* a (+ (* 2 (/ (pow c 2) (pow b 2))) (* a (+ (* 1/2 (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (* 4 (/ (pow c 3) (pow b 4))))))))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
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(+ (* -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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64)))) |
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(fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) b)) (sqrt.f64 (*.f64 a c))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) a)))) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) b) (sqrt.f64 (/.f64 c a)))) a) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) a))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -1/2 binary64) (-.f64 (*.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) b) (sqrt.f64 (/.f64 c a))))) a) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) a)))))) |
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(* a (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))) |
(*.f64 (-.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) b) (sqrt.f64 (/.f64 c a)))) a) |
(* a (+ (* -4 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) a))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal 2 binary64) (-.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) b) (sqrt.f64 (/.f64 c a))))) a) |
(* a (+ (* -4 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) a)))))) |
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(* a (+ (* -4 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) a))))))) |
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
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(fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
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(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)))) a) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(/ 1/2 a) |
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(/ 1/2 a) |
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(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)) |
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(fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/4 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
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(/ (* a (pow c 2)) (pow b 3)) |
(/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) |
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(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
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(/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (/.f64 (neg.f64 c) a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (/.f64 (neg.f64 c) a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 (/.f64 (neg.f64 c) a) b) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) |
(/ (* a (pow c 2)) (pow b 2)) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(*.f64 (neg.f64 a) (neg.f64 (fma.f64 (/.f64 c b) (/.f64 c b) (/.f64 c a)))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) #s(literal 2 binary64)) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(neg.f64 (*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64) (/.f64 b a)))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) a) #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -2 binary64)))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/4 binary64))) a)) a) #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -2 binary64)))) |
(* 2 (* (sqrt (* a c)) (* b (sqrt -1)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) (sqrt.f64 (*.f64 a c))) #s(literal 2 binary64)) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (pow b 2) a))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) (sqrt.f64 (/.f64 c a))) #s(literal -2 binary64) (/.f64 (*.f64 b b) (neg.f64 a)))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (pow b 2)) a))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 b b)) (neg.f64 a)))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1))))) a)) (pow b 2)) a))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) (/.f64 (fma.f64 b b (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 5 binary64))))) (neg.f64 a))) (neg.f64 a)))) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 2 binary64) (/.f64 c b) (/.f64 (neg.f64 b) a))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 2 binary64) (/.f64 c b) (/.f64 (neg.f64 b) a))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 2 binary64) (/.f64 c b) (/.f64 (neg.f64 b) a))) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 337 |
| 0 | 81 | 333 |
| 1 | 313 | 324 |
| 2 | 2758 | 324 |
| 0 | 8453 | 324 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) a)))) |
(fma.f64 b b (*.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(*.f64 #s(literal -4 binary64) c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 b) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) a) |
(-.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))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b)) |
(/.f64 (fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) b) |
(fma.f64 (/.f64 c b) (/.f64 (*.f64 c a) b) c) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(fma.f64 (*.f64 c #s(literal -2 binary64)) (/.f64 a b) b) |
(/.f64 (*.f64 c a) b) |
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|---|
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Compiled 136 048 to 6 888 computations (94.9% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 358 | 8 | 2 366 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 362 | 10 | 2 372 |
| Status | Accuracy | Program |
|---|---|---|
| 80.8% | (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) | |
| ▶ | 80.6% | (/.f64 (*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) |
| ▶ | 80.7% | (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a)) |
| ▶ | 80.8% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)))) |
| ▶ | 80.5% | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))) (*.f64 #s(literal 2 binary64) a)))) |
| ✓ | 80.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| ✓ | 43.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| ▶ | 43.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
| 51.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c)) | |
| 51.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b))) |
Compiled 542 to 286 computations (47.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 64 | (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))) | |
| cost-diff | 64 | (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) | |
| cost-diff | 7424 | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))) (*.f64 #s(literal 2 binary64) a)))) | |
| cost-diff | 12800 | (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) | |
| cost-diff | 0 | (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) | |
| cost-diff | 192 | (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) | |
| cost-diff | 0 | (*.f64 c #s(literal -4 binary64)) | |
| cost-diff | 0 | (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) | |
| cost-diff | 320 | (*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64)) | |
| cost-diff | 896 | (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) | |
| cost-diff | 576 | (/.f64 #s(literal -1 binary64) (/.f64 b c)) | |
| cost-diff | 0 | (*.f64 #s(literal -4 binary64) c) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) | |
| cost-diff | 64 | (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) | |
| cost-diff | 7424 | (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 933 |
| 0 | 112 | 899 |
| 1 | 235 | 887 |
| 2 | 506 | 793 |
| 3 | 1592 | 793 |
| 4 | 7641 | 793 |
| 0 | 8395 | 787 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
a |
(fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
b |
(*.f64 b (-.f64 b (sqrt.f64 (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)))) |
(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 b b) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(+.f64 b b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(*.f64 a c) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
#s(literal -1 binary64) |
(/.f64 b c) |
b |
c |
(/.f64 (*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) |
(*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64)) |
(-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
a |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a)) |
(*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) |
(-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
a |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
#s(literal 3/2 binary64) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) |
(fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))) (*.f64 #s(literal 2 binary64) a)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
a |
(fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
b |
(*.f64 b (-.f64 b (sqrt.f64 (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)))) |
(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 b b) |
(/.f64 (-.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 (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))) (*.f64 #s(literal 2 binary64) a))) |
(-.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 (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))) |
(fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))) |
(*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) |
(-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
a |
(fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) |
b |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 a (*.f64 c #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 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) b) (*.f64 #s(literal -8 binary64) (*.f64 a c)))) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
(*.f64 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) b) (*.f64 #s(literal -8 binary64) (*.f64 a c))) a) |
(fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(+.f64 b b) |
(*.f64 #s(literal 2 binary64) b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(*.f64 a c) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
(/.f64 (neg.f64 c) b) |
#s(literal -1 binary64) |
(/.f64 b c) |
b |
c |
(/.f64 (*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) |
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) a) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) |
(*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 a c)) |
(-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
a |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a)) |
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) a) #s(literal 1/2 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64)))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) |
(-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
a |
(*.f64 c #s(literal -4 binary64)) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
#s(literal 3/2 binary64) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) a) |
(fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))) (*.f64 #s(literal 2 binary64) a)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
a |
(fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) |
b |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 a (*.f64 c #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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) b) (*.f64 #s(literal -8 binary64) (*.f64 a c)))) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) b) (*.f64 #s(literal -8 binary64) (*.f64 a c))) a) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))) |
(fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) |
(*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b) |
(-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
(-.f64 b (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.9767226489021295 | (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) | |
| accuracy | 12.396414988979421 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 12.396414988979421 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| accuracy | 12.396414988979421 | (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) | |
| accuracy | 0.25 | (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) | |
| accuracy | 0.5 | (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) | |
| accuracy | 0.75 | (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a)) | |
| accuracy | 11.790702679361749 | (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 0 | (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) | |
| accuracy | 0.25 | (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) | |
| accuracy | 0.5 | (/.f64 (*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) | |
| accuracy | 12.139786599487602 | (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 0.25 | (/.f64 #s(literal -1 binary64) (/.f64 b c)) | |
| accuracy | 36.11757593972556 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) | |
| accuracy | 0.5 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) | |
| accuracy | 0.5 | (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) | |
| accuracy | 12.396414988979421 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 12.396414988979421 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
| 2.0ms | 1× | 1 | valid |
| 1.0ms | 3× | 0 | valid |
Compiled 1 930 to 121 computations (93.7% saved)
ival-mult: 1.0ms (53% of total)ival-div: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)ival-pow: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-log: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -4 binary64) c) (patch (*.f64 #s(literal -4 binary64) c) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 b c)) (patch (/.f64 #s(literal -1 binary64) (/.f64 b c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) #<representation binary64>) () ()) |
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) (patch (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (patch (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (*.f64 c #s(literal -4 binary64)) (patch (*.f64 c #s(literal -4 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (patch (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (patch (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (patch (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) #<representation binary64>) () ()) |
#s(alt (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) (patch (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))) (*.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))) (patch (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))) #<representation binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (patch (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) (patch (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) (patch (/.f64 (*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) #<representation binary64>) () ()) |
#s(alt (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a)) (patch (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (patch (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) #<representation binary64>) () ()) |
#s(alt (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (patch (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ c (- (* 2 b) b))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* 1/2 (* c (- (+ (* -2 (/ a (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* b (pow (- (* 2 b) b) 2))))))) (/ 1 (- (* 2 b) b)))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* 1/2 (* c (- (+ (* -8 (/ (pow a 2) (* (pow b 4) (- (* 2 b) b)))) (* -2 (/ (* a (+ (* -4 a) (* 2 a))) (* (pow b 4) (- (* 2 b) b))))) (+ (* -4 (/ (pow a 2) (* (pow b 3) (pow (- (* 2 b) b) 2)))) (/ (* (+ (* -4 a) (* 2 a)) (- (+ (* -2 (/ a (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* b (pow (- (* 2 b) b) 2)))))) (* b (- (* 2 b) b))))))) (* 1/2 (- (+ (* -2 (/ a (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* b (pow (- (* 2 b) b) 2)))))))) (/ 1 (- (* 2 b) b)))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* 1/2 (- (+ (* -2 (/ a (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* b (pow (- (* 2 b) b) 2)))))) (* c (+ (* 1/2 (* c (- (+ (* -8 (/ (pow a 3) (* (pow b 6) (- (* 2 b) b)))) (+ (* -4 (/ (* (pow a 2) (+ (* -4 a) (* 2 a))) (* (pow b 6) (- (* 2 b) b)))) (+ (* -4 (/ (pow a 3) (* (pow b 6) (- (* 2 b) b)))) (* -1/2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) (* a (- (* 2 b) b))))))) (+ (* -8 (/ (pow a 3) (* (pow b 5) (pow (- (* 2 b) b) 2)))) (+ (* 2 (/ (* (pow a 2) (- (+ (* -2 (/ a (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* b (pow (- (* 2 b) b) 2)))))) (* (pow b 3) (- (* 2 b) b)))) (/ (* (+ (* -4 a) (* 2 a)) (- (+ (* -8 (/ (pow a 2) (* (pow b 4) (- (* 2 b) b)))) (* -2 (/ (* a (+ (* -4 a) (* 2 a))) (* (pow b 4) (- (* 2 b) b))))) (+ (* -4 (/ (pow a 2) (* (pow b 3) (pow (- (* 2 b) b) 2)))) (/ (* (+ (* -4 a) (* 2 a)) (- (+ (* -2 (/ a (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* b (pow (- (* 2 b) b) 2)))))) (* b (- (* 2 b) b)))))) (* b (- (* 2 b) b)))))))) (* 1/2 (- (+ (* -8 (/ (pow a 2) (* (pow b 4) (- (* 2 b) b)))) (* -2 (/ (* a (+ (* -4 a) (* 2 a))) (* (pow b 4) (- (* 2 b) b))))) (+ (* -4 (/ (pow a 2) (* (pow b 3) (pow (- (* 2 b) b) 2)))) (/ (* (+ (* -4 a) (* 2 a)) (- (+ (* -2 (/ a (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* b (pow (- (* 2 b) b) 2)))))) (* b (- (* 2 b) b)))))))))) (/ 1 (- (* 2 b) b)))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)))) (patch (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)))) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 c) (#s(alt (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2))))) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) (patch (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
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#s(alt (pow b 2) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) (taylor inf c) (#s(alt (/.f64 (*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) (patch (/.f64 (*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) (taylor inf c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
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#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ()) |
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#s(alt (* 1/2 (* (sqrt (* a c)) (/ (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a)) (patch (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (* 1/2 (* (sqrt (/ a c)) (/ (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (taylor inf c) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a)) (patch (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (+ (* 1/2 (* (sqrt (/ a c)) (/ (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -64)) (* (sqrt -4) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (* a (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (pow c 2)))))) (taylor inf c) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a)) (patch (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (+ (* 1/2 (* (sqrt (/ a c)) (/ (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))) (+ (* 1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* -1 (/ (* (pow b 5) (sqrt -64)) (* (sqrt -4) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -64)) (* (sqrt -4) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (* a (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))))) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (pow c 3))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -64)) (* (sqrt -4) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (* a (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (pow c 2))))))) (taylor inf c) (#s(alt (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a)) (patch (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (* c (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))) (taylor inf c) (#s(alt (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (patch (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 2 (/ (* a (pow b 2)) c)) (* a (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))) (taylor inf c) (#s(alt (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (patch (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (* a (pow b 2)) c)) (* a (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (taylor inf c) (#s(alt (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (patch (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (* a (pow b 2)) c)) (* a (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (taylor inf c) (#s(alt (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (patch (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -4))) (taylor inf c) (#s(alt (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (patch (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (patch (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (patch (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (patch (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow a 2) (+ (* -1 (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))) (* -1 (/ (+ (* -2 (pow b 2)) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1))))) a)))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (patch (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* (pow a 2) (+ (* -1 (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))) (* -1 (/ (+ (* -2 (pow b 2)) (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1))))) a))) a)))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) (patch (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (patch (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (patch (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | b | @ | -inf | ((* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (- (+ b b) (sqrt (+ (* a (* c -4)) (* b b)))) b) (* (* a c) -4)) (* 2 a)))) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (/ -1 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ b c) (- (+ (* a (* c -4)) (* b b)) (* b b)) (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (+ (* a (* c -4)) (* b b)) (* c -4) (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) (pow (+ (* a (* c -4)) (* b b)) 3/2) (exp (log (sqrt (+ (* a (* c -4)) (* b b))))) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (exp (log (sqrt (+ (* a (* c -4)) (* b b))))))))) (* 2 a)))) (+ (* b b) (* b (- b (exp (log (sqrt (+ (* a (* c -4)) (* b b)))))))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (* (+ (sqrt (+ (* a (* c -4)) (* b b))) b) a)) (+ (sqrt (+ (* a (* c -4)) (* b b))) b) (sqrt (+ (* a (* c -4)) (* b b))) (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a) (- b (exp (log (sqrt (+ (* a (* c -4)) (* b b))))))) |
| 23.0ms | a | @ | 0 | ((* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (- (+ b b) (sqrt (+ (* a (* c -4)) (* b b)))) b) (* (* a c) -4)) (* 2 a)))) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (/ -1 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ b c) (- (+ (* a (* c -4)) (* b b)) (* b b)) (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (+ (* a (* c -4)) (* b b)) (* c -4) (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) (pow (+ (* a (* c -4)) (* b b)) 3/2) (exp (log (sqrt (+ (* a (* c -4)) (* b b))))) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (exp (log (sqrt (+ (* a (* c -4)) (* b b))))))))) (* 2 a)))) (+ (* b b) (* b (- b (exp (log (sqrt (+ (* a (* c -4)) (* b b)))))))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (* (+ (sqrt (+ (* a (* c -4)) (* b b))) b) a)) (+ (sqrt (+ (* a (* c -4)) (* b b))) b) (sqrt (+ (* a (* c -4)) (* b b))) (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a) (- b (exp (log (sqrt (+ (* a (* c -4)) (* b b))))))) |
| 15.0ms | b | @ | 0 | ((* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (- (+ b b) (sqrt (+ (* a (* c -4)) (* b b)))) b) (* (* a c) -4)) (* 2 a)))) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (/ -1 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ b c) (- (+ (* a (* c -4)) (* b b)) (* b b)) (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (+ (* a (* c -4)) (* b b)) (* c -4) (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) (pow (+ (* a (* c -4)) (* b b)) 3/2) (exp (log (sqrt (+ (* a (* c -4)) (* b b))))) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (exp (log (sqrt (+ (* a (* c -4)) (* b b))))))))) (* 2 a)))) (+ (* b b) (* b (- b (exp (log (sqrt (+ (* a (* c -4)) (* b b)))))))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (* (+ (sqrt (+ (* a (* c -4)) (* b b))) b) a)) (+ (sqrt (+ (* a (* c -4)) (* b b))) b) (sqrt (+ (* a (* c -4)) (* b b))) (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a) (- b (exp (log (sqrt (+ (* a (* c -4)) (* b b))))))) |
| 14.0ms | c | @ | 0 | ((* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (- (+ b b) (sqrt (+ (* a (* c -4)) (* b b)))) b) (* (* a c) -4)) (* 2 a)))) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (/ -1 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ b c) (- (+ (* a (* c -4)) (* b b)) (* b b)) (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (+ (* a (* c -4)) (* b b)) (* c -4) (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) (pow (+ (* a (* c -4)) (* b b)) 3/2) (exp (log (sqrt (+ (* a (* c -4)) (* b b))))) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (exp (log (sqrt (+ (* a (* c -4)) (* b b))))))))) (* 2 a)))) (+ (* b b) (* b (- b (exp (log (sqrt (+ (* a (* c -4)) (* b b)))))))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (* (+ (sqrt (+ (* a (* c -4)) (* b b))) b) a)) (+ (sqrt (+ (* a (* c -4)) (* b b))) b) (sqrt (+ (* a (* c -4)) (* b b))) (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a) (- b (exp (log (sqrt (+ (* a (* c -4)) (* b b))))))) |
| 13.0ms | c | @ | inf | ((* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (- (+ b b) (sqrt (+ (* a (* c -4)) (* b b)))) b) (* (* a c) -4)) (* 2 a)))) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b)))))) (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (* -4 c) (/ -1 (/ b c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ b c) (- (+ (* a (* c -4)) (* b b)) (* b b)) (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (+ (* a (* c -4)) (* b b)) (* c -4) (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) (pow (+ (* a (* c -4)) (* b b)) 3/2) (exp (log (sqrt (+ (* a (* c -4)) (* b b))))) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))))) (/ (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* (+ (* (* -4 c) a) (+ (* b b) (* b (- b (exp (log (sqrt (+ (* a (* c -4)) (* b b))))))))) (* 2 a)))) (+ (* b b) (* b (- b (exp (log (sqrt (+ (* a (* c -4)) (* b b)))))))) (- b (sqrt (+ (* (* -4 c) a) (* b b)))) (- (sqrt (+ (* (* -4 c) a) (* b b))) b) (* b (- b (sqrt (+ (* (* -4 c) a) (* b b))))) (/ (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (* (+ (sqrt (+ (* a (* c -4)) (* b b))) b) a)) (+ (sqrt (+ (* a (* c -4)) (* b b))) b) (sqrt (+ (* a (* c -4)) (* b b))) (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a) (- b (exp (log (sqrt (+ (* a (* c -4)) (* b b))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2772 | 31043 |
| 0 | 8287 | 29668 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c (- (* 2 b) b))) |
(* c (- (* 1/2 (* c (- (+ (* -2 (/ a (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* b (pow (- (* 2 b) b) 2))))))) (/ 1 (- (* 2 b) b)))) |
(* c (- (* c (+ (* 1/2 (* c (- (+ (* -8 (/ (pow a 2) (* (pow b 4) (- (* 2 b) b)))) (* -2 (/ (* a (+ (* -4 a) (* 2 a))) (* (pow b 4) (- (* 2 b) b))))) (+ (* -4 (/ (pow a 2) (* (pow b 3) (pow (- (* 2 b) b) 2)))) (/ (* (+ (* -4 a) (* 2 a)) (- (+ (* -2 (/ a (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* b (pow (- (* 2 b) b) 2)))))) (* b (- (* 2 b) b))))))) (* 1/2 (- (+ (* -2 (/ a (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* b (pow (- (* 2 b) b) 2)))))))) (/ 1 (- (* 2 b) b)))) |
(* c (- (* c (+ (* 1/2 (- (+ (* -2 (/ a (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* b (pow (- (* 2 b) b) 2)))))) (* c (+ (* 1/2 (* c (- (+ (* -8 (/ (pow a 3) (* (pow b 6) (- (* 2 b) b)))) (+ (* -4 (/ (* (pow a 2) (+ (* -4 a) (* 2 a))) (* (pow b 6) (- (* 2 b) b)))) (+ (* -4 (/ (pow a 3) (* (pow b 6) (- (* 2 b) b)))) (* -1/2 (/ (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))) (* a (- (* 2 b) b))))))) (+ (* -8 (/ (pow a 3) (* (pow b 5) (pow (- (* 2 b) b) 2)))) (+ (* 2 (/ (* (pow a 2) (- (+ (* -2 (/ a (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* b (pow (- (* 2 b) b) 2)))))) (* (pow b 3) (- (* 2 b) b)))) (/ (* (+ (* -4 a) (* 2 a)) (- (+ (* -8 (/ (pow a 2) (* (pow b 4) (- (* 2 b) b)))) (* -2 (/ (* a (+ (* -4 a) (* 2 a))) (* (pow b 4) (- (* 2 b) b))))) (+ (* -4 (/ (pow a 2) (* (pow b 3) (pow (- (* 2 b) b) 2)))) (/ (* (+ (* -4 a) (* 2 a)) (- (+ (* -2 (/ a (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* b (pow (- (* 2 b) b) 2)))))) (* b (- (* 2 b) b)))))) (* b (- (* 2 b) b)))))))) (* 1/2 (- (+ (* -8 (/ (pow a 2) (* (pow b 4) (- (* 2 b) b)))) (* -2 (/ (* a (+ (* -4 a) (* 2 a))) (* (pow b 4) (- (* 2 b) b))))) (+ (* -4 (/ (pow a 2) (* (pow b 3) (pow (- (* 2 b) b) 2)))) (/ (* (+ (* -4 a) (* 2 a)) (- (+ (* -2 (/ a (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* b (pow (- (* 2 b) b) 2)))))) (* b (- (* 2 b) b)))))))))) (/ 1 (- (* 2 b) b)))) |
(pow b 2) |
(+ (* 2 (* a c)) (pow b 2)) |
(+ (* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2))))) (pow b 2)) |
(+ (* c (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4))))))) (pow b 2)) |
(pow b 2) |
(+ (* c (+ (* -4 a) (* 2 a))) (pow b 2)) |
(+ (* c (+ (* -4 a) (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2)))))) (pow b 2)) |
(+ (* c (+ (* -4 a) (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4)))))))) (pow b 2)) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c 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))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(+ (* 2 (pow b 2)) (pow b 2)) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -4 a) (* -2 a))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -4 a) (+ (* -2 a) (* -2 (/ (* (pow a 2) c) (pow b 2)))))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* c (+ (* -4 a) (+ (* -2 a) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 4))) (* -2 (/ (pow a 2) (pow b 2)))))))) (pow b 2))) |
(* 1/4 (/ (* c (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (pow b 3))) |
(* c (+ (* 1/4 (/ (* c (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 3))) (* 1/4 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (pow b 3))))) |
(* c (+ (* 1/4 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/4 (/ (* c (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/4 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))))))) |
(* c (+ (* 1/4 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/4 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))) (* c (+ (* -1/4 (/ (* c (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/4 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (pow b 3))))))))) |
(* 1/2 (/ (* c (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (pow b 3))) |
(* c (+ (* 1/2 (/ (* c (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (pow b 3))))) |
(* c (+ (* 1/2 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (* c (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))))))) |
(* c (+ (* 1/2 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (pow b 3))))))))) |
(pow b 3) |
(+ (* 1/2 (/ (* c (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (pow b 3))) (pow b 3)) |
(+ (* c (+ (* 1/2 (/ (* c (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (pow b 3))))) (pow b 3)) |
(+ (* c (+ (* 1/2 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (pow b 3))) (* c (+ (* 1/2 (/ (* c (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (pow b 3))))))) (pow b 3)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1 (/ c 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))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(pow b 2) |
(+ (* 2 (* a c)) (pow b 2)) |
(+ (* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2))))) (pow b 2)) |
(+ (* c (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4))))))) (pow b 2)) |
(* 2 (/ (* a c) b)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* -2 (/ (* a c) b)) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* 2 (* a c)) |
(* c (+ (* 2 a) (* 2 (/ (* (pow a 2) c) (pow b 2))))) |
(* c (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* 4 (/ (* (pow a 3) c) (pow b 4))))))) |
(* c (+ (* 2 a) (* c (+ (* 2 (/ (pow a 2) (pow b 2))) (* c (+ (* 1/2 (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) (* 4 (/ (pow a 3) (pow b 4))))))))) |
(* -1 (/ c 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 b) |
(+ (* -2 (/ (* a c) b)) (* 2 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)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* 1/4 (/ (* c (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) |
(* c (+ (* 1/4 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (* c (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))))) |
(* c (+ (* 1/4 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/2 (* c (- (* 1/2 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -1 (/ (* a (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/2 (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))))))) |
(* c (+ (* 1/4 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/2 (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* c (+ (* 1/2 (* c (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -2 (/ (* (pow a 2) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (+ (* -2 (/ (* (pow a 2) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -1 (/ (* a (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (* 1/2 (- (* 1/2 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -1 (/ (* a (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2)))))))))))) |
(* a (+ (* 2 (pow b 2)) (pow b 2))) |
(+ (* a (* c (+ (* -4 a) (* -2 a)))) (* a (+ (* 2 (pow b 2)) (pow b 2)))) |
(+ (* a (+ (* 2 (pow b 2)) (pow b 2))) (* c (+ (* -2 (/ (* (pow a 3) c) (pow b 2))) (* a (+ (* -4 a) (* -2 a)))))) |
(+ (* a (+ (* 2 (pow b 2)) (pow b 2))) (* c (+ (* a (+ (* -4 a) (* -2 a))) (* c (+ (* -4 (/ (* (pow a 4) c) (pow b 4))) (* -2 (/ (pow a 3) (pow b 2)))))))) |
(* 2 (/ (* a c) b)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* 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 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) c)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) c))))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) c)))))) |
(* c (+ (* -4 a) (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))))) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) c))))) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) c)))))) |
(* c (+ (* -4 a) (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) c))))))) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* 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))))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* c (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))) |
(* c (+ (* -4 a) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -4)))))) |
(* c (+ (* -4 a) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -4))))))) |
(* c (+ (* -4 a) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) c)) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) |
(* 1/2 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64))) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -64))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (pow b 3)) (pow c 2))))) |
(* (pow c 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -64))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (pow b 3)) (pow c 2)))))) |
(* (pow c 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (sqrt -64)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -64) 2))))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ (pow a 3) c)) (sqrt -64))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (pow b 3)) (pow c 2))))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (* (sqrt (/ (pow a 3) c)) (sqrt -64))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (sqrt -64)))) (* (sqrt (/ (pow a 3) c)) (sqrt -64)))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -64) 2))))) (sqrt -64)))) (* (sqrt (/ (pow a 3) c)) (sqrt -64))))) (/ (pow b 3) (pow c 2)))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (* (sqrt (/ (pow a 3) c)) (sqrt -64)))) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (sqrt -64)))) (* (sqrt (/ (pow a 3) c)) (sqrt -64))))) |
(* (pow c 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 7)))) (/ (- (pow b 6) (* 1/4 (/ (* c (pow (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 3) (pow (sqrt -64) 2))))) (sqrt -64)))) (* (sqrt (/ (pow a 3) c)) (sqrt -64)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* 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 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) c)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) c))))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) c)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (/ (pow b 2) c))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (/ (pow b 2) c)))) |
(* c (+ (* -1 (* (sqrt (/ a c)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (/ (pow b 2) c))))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -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))))))) |
(* (sqrt (* 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))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* 1/2 (* (sqrt (* a c)) (/ (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))) |
(* c (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (* 1/2 (* (sqrt (/ a c)) (/ (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))))) |
(* c (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (+ (* 1/2 (* (sqrt (/ a c)) (/ (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -64)) (* (sqrt -4) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (* a (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (pow c 2)))))) |
(* c (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (+ (* 1/2 (* (sqrt (/ a c)) (/ (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))) (+ (* 1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* -1 (/ (* (pow b 5) (sqrt -64)) (* (sqrt -4) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -64)) (* (sqrt -4) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (* a (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))))) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (pow c 3))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -64)) (* (sqrt -4) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (* a (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (pow c 2))))))) |
(* a (* c (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))) |
(* c (+ (* 2 (/ (* a (pow b 2)) c)) (* a (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))) |
(* c (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (* a (pow b 2)) c)) (* a (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (* a (pow b 2)) c)) (* a (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* -1 (* (sqrt (/ c a)) (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))))) |
(* 2 (* (sqrt (* a c)) (* b (sqrt -1)))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -2 (/ (pow b 2) c))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) c))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1))))) c)) (* 2 (pow b 2))) c))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (+ (* -2 (/ (pow b 2) c)) (* 4 a))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) c)) (* 4 a))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1))))) c)) (* 2 (pow b 2))) c)) (* 4 a))))) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (* (sqrt (/ c a)) (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))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))) |
(* -1 (* c (+ (* -2 (/ (pow b 2) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1))))) c)) (* 2 (pow b 2))) c)) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* 4 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -1))) |
(* (pow c 2) (+ (* 1/2 (/ (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (pow b 3)) (pow c 2))) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(* (pow c 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (sqrt -1) (+ (* 4 (* a (pow b 4))) (* 8 (* a (pow b 4))))))) (+ (* 1/2 (/ (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (pow b 3)) (pow c 2))) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (- (pow b 6) (* -1/256 (/ (* c (pow (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) 2)) (pow a 3))))))) (* 1/32 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 4 (* a (pow b 4))) (* 8 (* a (pow b 4)))))))) (pow c 3))) (+ (* 1/2 (/ (- (* 1/16 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (pow b 3)) (pow c 2))) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* 8 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -1))) |
(* (pow c 2) (- (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (* 8 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (sqrt -1) (+ (* 4 (* a (pow b 4))) (* 8 (* a (pow b 4))))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (* 8 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) (/ (pow b 3) (pow c 2)))) |
(* (pow c 2) (- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (- (pow b 6) (* -1/256 (/ (* c (pow (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) 2)) (pow a 3))))))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 4 (* a (pow b 4))) (* 8 (* a (pow b 4)))))))) (pow c 3))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (* 8 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) (/ (pow b 3) (pow c 2)))) |
(* 8 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -1))) |
(* (pow c 2) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (* 8 (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(* (pow c 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (sqrt -1) (+ (* 4 (* a (pow b 4))) (* 8 (* a (pow b 4))))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (* 8 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -1) (- (pow b 6) (* -1/256 (/ (* c (pow (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) 2)) (pow a 3))))))) (* 1/16 (* (sqrt (/ c (pow a 3))) (* (sqrt -1) (+ (* 4 (* a (pow b 4))) (* 8 (* a (pow b 4)))))))) (pow c 3))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))))) (* 8 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* (sqrt (/ c a)) (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))))) |
(* 2 (* (sqrt (* a c)) (* b (sqrt -1)))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -2 (/ (pow b 2) c))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) c))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1))))) c)) (* 2 (pow b 2))) c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 2 (* (sqrt (* a c)) (* b (sqrt -1)))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1 (/ (pow b 2) c))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (pow b 2)) c))))) |
(* -1 (* c (+ (* -2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ c a)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 5) (sqrt -1))))) c)) (pow b 2)) c))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -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))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -4 (* (sqrt (* a c)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* 8 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -8 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2)))) (* -1/2 (/ (- (* 1/16 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -32 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 3)))) (+ (* 2 (/ (pow b 3) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))) (/ (pow b 3) (* a (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) c))) c)) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -8 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2)))) (* -1 (/ (+ (* -1/2 (/ (- (* 1/16 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 4 (* a (pow b 4))) (* 8 (* a (pow b 4))))) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -4 (/ (pow b 5) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 3))) (* 2 (/ (* (pow b 2) (- (* 1/16 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -32 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 3)))) (+ (* 2 (/ (pow b 3) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))) (/ (pow b 3) (* a (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))))) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) c)) (* 1/2 (- (* 1/16 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -32 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 3)))) (+ (* 2 (/ (pow b 3) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))) (/ (pow b 3) (* a (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))))) c))) c)) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))))) |
(* -1 (* a (* c (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* -2 (/ (* a (pow b 2)) c)) (* a (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1)))) (* 2 (* a (pow b 2)))) c)) (* a (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a c))) (* (pow b 5) (sqrt -1)))) (* 1/4 (* (sqrt (* a c)) (* (pow b 3) (sqrt -1))))) c)) (* 2 (* a (pow b 2)))) c)) (* a (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* 1/2 (* b (- (* -1/4 (/ (+ (* -1 (* a (* c (pow (sqrt -4) 2)))) (* 4 (* a c))) (* (pow a 2) c))) (* 1/4 (/ (pow (sqrt -4) 2) a))))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* 1/2 (* b (- (* -1/4 (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (sqrt (* a c)) (sqrt -4)))) (* (pow a 2) c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (- (* -1/4 (/ (+ (* -1 (* a (* c (pow (sqrt -4) 2)))) (* 4 (* a c))) (* (pow a 2) c))) (* 1/4 (/ (pow (sqrt -4) 2) a)))))))))) (* 1/2 (- (* -1/4 (/ (+ (* -1 (* a (* c (pow (sqrt -4) 2)))) (* 4 (* a c))) (* (pow a 2) c))) (* 1/4 (/ (pow (sqrt -4) 2) a))))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* 1/2 (- (* -1/4 (/ (+ (* -1 (* a (* c (pow (sqrt -4) 2)))) (* 4 (* a c))) (* (pow a 2) c))) (* 1/4 (/ (pow (sqrt -4) 2) a)))) (* b (+ (* 1/2 (* b (- (* 3/4 (/ 1 (* (pow a 2) c))) (+ (* -1/2 (/ (- (* -1/4 (/ (+ (* -1 (* a (* c (pow (sqrt -4) 2)))) (* 4 (* a c))) (* (pow a 2) c))) (* 1/4 (/ (pow (sqrt -4) 2) a))) (* a c))) (+ (* 1/8 (/ 1 (* (pow a 2) c))) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (- (* -1/4 (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (sqrt (* a c)) (sqrt -4)))) (* (pow a 2) c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (- (* -1/4 (/ (+ (* -1 (* a (* c (pow (sqrt -4) 2)))) (* 4 (* a c))) (* (pow a 2) c))) (* 1/4 (/ (pow (sqrt -4) 2) a)))))))))))))))) (* 1/2 (- (* -1/4 (/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (* (sqrt (* a c)) (sqrt -4))) (* (sqrt (* a c)) (sqrt -4)))) (* (pow a 2) c))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -4))) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (- (* -1/4 (/ (+ (* -1 (* a (* c (pow (sqrt -4) 2)))) (* 4 (* a c))) (* (pow a 2) c))) (* 1/4 (/ (pow (sqrt -4) 2) a)))))))))))))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 b))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 2 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (* -1 (* (sqrt (* a c)) (* b (sqrt -4))))) |
(+ (* -4 (* a c)) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 b)))) |
(+ (* -4 (* a c)) (* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 2 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4))))))))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* 1/2 (* (sqrt (/ c a)) (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))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (* (sqrt (* a c)) (* b (sqrt -4)))) |
(+ (* -4 (* a c)) (* b (+ (* 2 b) (* (sqrt (* a c)) (sqrt -4))))) |
(+ (* -4 (* a c)) (* b (+ (* b (+ 2 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))))) |
(* 1/2 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64))) |
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2))))) (sqrt -64)))) (* 1/2 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)))) |
(+ (* 1/2 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64))) (* (pow b 2) (+ (* -1/2 b) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64))))))) |
(+ (* 1/2 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64)))) (* b (- (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (+ (* -8 (* a c)) (* -4 (* a c))) (* 1/4 (/ (pow (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -64) 2))))))) (sqrt -64)))) 1/2))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2))))) (sqrt -64)))) (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) (* (pow b 2) (+ (* -1 b) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64))))))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64)))) (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* b (- (+ (* -8 (* a c)) (* -4 (* a c))) (* 1/4 (/ (pow (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -64) 2))))))) (sqrt -64)))) 1))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) |
(+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2))))) (sqrt -64)))) (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (- (+ (* -8 (* a c)) (* -4 (* a c))) (* 1/4 (/ (pow (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -64) 2))))))) (sqrt -64)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64))))))) |
(+ (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64)))) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (* (pow b 2) (- 1 (* 1/2 (/ (* (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (- (+ (* -8 (* a c)) (* -4 (* a c))) (* 1/4 (/ (pow (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -64) 2))))))) (* (pow a 3) (* (pow c 3) (pow (sqrt -64) 2))))))) (sqrt -64)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (- (+ (* -8 (* a c)) (* -4 (* a c))) (* 1/4 (/ (pow (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) 2) (* (pow a 3) (* (pow c 3) (pow (sqrt -64) 2)))))) (sqrt -64))))))))) |
(* (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))))))))) |
(* 1/2 (* (sqrt (/ c a)) (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 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* 2 b))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 2 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 2 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* b (+ b (* -1 (* (sqrt (* a c)) (sqrt -4))))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))))) |
(* b (+ (* -1 (* (sqrt (* a c)) (sqrt -4))) (* b (+ 1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))))))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 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))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* 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))))))))) |
(* -1/8 (* (sqrt (/ c a)) (sqrt -64))) |
(+ (* -1/8 (* (sqrt (/ c a)) (sqrt -64))) (* -1/32 (/ (* b (* (sqrt -64) (sqrt -4))) a))) |
(+ (* -1/8 (* (sqrt (/ c a)) (sqrt -64))) (* b (+ (* -1/32 (/ (* (sqrt -64) (sqrt -4)) a)) (* 1/2 (* b (- (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64)))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -64) (pow (sqrt -4) 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -64)))))))))) |
(+ (* -1/8 (* (sqrt (/ c a)) (sqrt -64))) (* b (+ (* -1/32 (/ (* (sqrt -64) (sqrt -4)) a)) (* b (+ (* 1/2 (* b (- (* 1/4 (/ 1 (* (pow a 2) c))) (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (- (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64)))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -64) (pow (sqrt -4) 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -64)))))))) (+ (* 1/32 (/ (sqrt -64) (* (pow a 2) (* c (sqrt -4))))) (* 1/32 (/ (* (sqrt -64) (sqrt -4)) (* (pow a 2) c)))))))) (* 1/2 (- (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64)))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -64) (pow (sqrt -4) 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -64))))))))))) |
(* -4 (* (pow a 2) c)) |
(+ (* -4 (* (pow a 2) c)) (* (sqrt (* (pow a 3) c)) (* b (sqrt -4)))) |
(+ (* -4 (* (pow a 2) c)) (* b (+ (* 2 (* a b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))))) |
(+ (* -4 (* (pow a 2) c)) (* b (+ (* b (+ (* 1/2 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 2 a))) (* (sqrt (* (pow a 3) c)) (sqrt -4))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 (/ (- (* -8 (* (pow a 2) (pow c 3))) (* -4 (* (pow a 2) (pow c 3)))) (pow b 4))))) b) |
(/ (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 (/ (- (* -8 (* (pow a 2) (pow c 3))) (* -4 (* (pow a 2) (pow c 3)))) (pow b 4))) (* 1/2 (/ (- (+ (* -4 (* (pow a 2) (* (pow c 3) (- (* -4 (* a c)) (* -2 (* a c)))))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) a))) (* (- (* -8 (* (pow a 2) (pow c 3))) (* -4 (* (pow a 2) (pow c 3)))) (- (* -4 (* a c)) (* -2 (* a c))))) (pow b 6)))))) b) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(pow b 2) |
(* (pow b 2) (- (+ 1 (* -4 (/ (* a c) (pow b 2)))) (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (+ (* -4 (/ (* a c) (pow 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 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(/ (+ (* -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))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* 3 (pow b 2)) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow 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)))))))) |
(* 1/4 (* b (+ (* -8 (* a c)) (* -4 (* a c))))) |
(* b (+ (* 1/4 (+ (* -8 (* a c)) (* -4 (* a c)))) (* 1/4 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 2))))) |
(* b (+ (* 1/4 (+ (* -8 (* a c)) (* -4 (* a c)))) (+ (* 1/4 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 4))) (* 1/4 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 2)))))) |
(* b (+ (* -1/4 (/ (+ (* 1/4 (pow (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))))))))) (pow b 6))) (+ (* 1/4 (+ (* -8 (* a c)) (* -4 (* a c)))) (+ (* 1/4 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 4))) (* 1/4 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 2))))))) |
(* 1/2 (* b (+ (* -8 (* a c)) (* -4 (* a c))))) |
(* b (+ (* 1/2 (+ (* -8 (* a c)) (* -4 (* a c)))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 2))))) |
(* b (+ (* 1/2 (+ (* -8 (* a c)) (* -4 (* a c)))) (+ (* 1/2 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 2)))))) |
(* b (+ (* -1/2 (/ (+ (* 1/4 (pow (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))))))))) (pow b 6))) (+ (* 1/2 (+ (* -8 (* a c)) (* -4 (* a c)))) (+ (* 1/2 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 4))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 2))))))) |
(pow b 3) |
(* (pow b 3) (+ 1 (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))))) |
(* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 4)))))) |
(* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 4))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ c b)) |
(/ (+ (* -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))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(pow b 2) |
(* (pow b 2) (+ 1 (* 2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* 2 (/ (* a c) b)) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* -2 (/ (* a c) b)) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* 2 (* a c)) |
(+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) |
(+ (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) |
(* -1 (/ c b)) |
(/ (+ (* -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) |
(* 2 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))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 1/12 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (* a b))) |
(/ (+ (* 1/12 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (* 1/2 (/ (- (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) a))) (pow b 2)))) b) |
(/ (+ (* 1/12 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (+ (* 1/2 (/ (- (* 1/6 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) a)) (+ (* -1/9 (* a (* (pow c 2) (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) a))))))) (pow b 4))) (* 1/2 (/ (- (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) a))) (pow b 2))))) b) |
(/ (+ (* 1/12 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (+ (* 1/2 (/ (- (* -1/6 (/ (+ (* 1/4 (pow (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))))))))) a)) (+ (* -2/3 (* (pow a 2) (* (pow c 2) (- (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) a)))))) (+ (* -2/9 (* (pow a 2) (* (pow c 3) (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* 1/6 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) a)) (+ (* -1/9 (* a (* (pow c 2) (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) a)))))))))))) (pow b 6))) (+ (* 1/2 (/ (- (* 1/6 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) a)) (+ (* -1/9 (* a (* (pow c 2) (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) a))))))) (pow b 4))) (* 1/2 (/ (- (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) a))) (pow b 2)))))) b) |
(* 3 (* a (pow b 2))) |
(* (pow b 2) (+ (* 3 a) (/ (* a (+ (* -4 (* a c)) (* -2 (* a c)))) (pow b 2)))) |
(* (pow b 2) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* 3 a) (/ (* a (+ (* -4 (* a c)) (* -2 (* a c)))) (pow b 2))))) |
(* (pow b 2) (+ (* -4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* 3 a) (/ (* a (+ (* -4 (* a c)) (* -2 (* a c)))) (pow b 2)))))) |
(* 2 (/ (* a c) b)) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* 1/2 (/ (- (* 1/3 (/ (+ (* -6 (* a c)) (* 2 (+ (* -4 (* a c)) (* -2 (* a c))))) a)) (* 2/3 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a))) (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* 1/2 (/ (- (* 1/3 (/ (+ (* -6 (* a c)) (* 2 (+ (* -4 (* a c)) (* -2 (* a c))))) a)) (* 2/3 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a))) (pow b 2))) (+ (* 1/2 (/ (- (* 1/3 (/ (+ (* -6 (* (pow a 2) (pow c 2))) (+ (* -4 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c)))))))) a)) (+ (* -4/3 (* a (pow c 2))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* 1/3 (/ (+ (* -6 (* a c)) (* 2 (+ (* -4 (* a c)) (* -2 (* a c))))) a)) (* 2/3 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a))))))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* 1/2 (/ (- (* 1/3 (/ (+ (* -12 (* (pow a 3) (pow c 3))) (+ (* -8 (* (pow a 3) (pow c 3))) (+ (* -2 (* (pow a 2) (* (pow c 2) (+ (* -4 (* a c)) (* -2 (* a c)))))) (* 4 (* (pow a 3) (pow c 3)))))) a)) (+ (* -8/3 (* (pow a 2) (pow c 3))) (+ (* -2/3 (* (pow a 2) (* (pow c 2) (- (* 1/3 (/ (+ (* -6 (* a c)) (* 2 (+ (* -4 (* a c)) (* -2 (* a c))))) a)) (* 2/3 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a)))))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* 1/3 (/ (+ (* -6 (* (pow a 2) (pow c 2))) (+ (* -4 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c)))))))) a)) (+ (* -4/3 (* a (pow c 2))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* 1/3 (/ (+ (* -6 (* a c)) (* 2 (+ (* -4 (* a c)) (* -2 (* a c))))) a)) (* 2/3 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a)))))))))))) (pow b 6))) (+ (* 1/2 (/ (- (* 1/3 (/ (+ (* -6 (* a c)) (* 2 (+ (* -4 (* a c)) (* -2 (* a c))))) a)) (* 2/3 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a))) (pow b 2))) (+ (* 1/2 (/ (- (* 1/3 (/ (+ (* -6 (* (pow a 2) (pow c 2))) (+ (* -4 (* (pow a 2) (pow c 2))) (* -2 (* a (* c (+ (* -4 (* a c)) (* -2 (* a c)))))))) a)) (+ (* -4/3 (* a (pow c 2))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* 1/3 (/ (+ (* -6 (* a c)) (* 2 (+ (* -4 (* a c)) (* -2 (* a c))))) a)) (* 2/3 (/ (+ (* -4 (* a c)) (* -2 (* a c))) a))))))) (pow b 4))) (/ 1 a)))))) |
(* 3 (pow b 2)) |
(* (pow b 2) (+ 3 (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 2) (+ 3 (+ (* -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))))))) |
(* 3 (pow b 2)) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (* -2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* a c) (pow 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 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -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)))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (* 2 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* 2 (/ (* a c) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (+ (* 2 (/ (* a c) (pow b 2))) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* -1 (pow b 3)) |
(* -1 (* (pow b 3) (+ 1 (* 1/4 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* 1/4 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (* 1/4 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 4))))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* 1/4 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (+ (* 1/4 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 6))) (* 1/4 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 4)))))))) |
(* -2 (pow b 3)) |
(* -1 (* (pow b 3) (+ 2 (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 2 (+ (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 4))))))) |
(* -1 (* (pow b 3) (+ 2 (+ (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 4)))))))) |
(* -1 (pow b 3)) |
(* -1 (* (pow b 3) (+ 1 (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2)))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 4))))))) |
(* -1 (* (pow b 3) (+ 1 (+ (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (pow b 2))) (+ (* 1/2 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) (pow b 6))) (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -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)))))) |
(* 3 (pow b 2)) |
(* (pow b 2) (+ 3 (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 3 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 2) (+ 3 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 2 (pow b 2)) |
(* (pow b 2) (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* (pow b 2) (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ b a)) |
(* -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)))))) |
(* 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) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* 1/2 (/ (- (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) a))) (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* 1/2 (/ (- (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) a))) (pow b 2))) (+ (* 1/2 (/ (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (+ (* 4 (* a (pow c 2))) (* (+ (* -4 (* a c)) (* 2 (* a c))) (- (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) a)))))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* 1/2 (/ (- (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) a))) (pow b 2))) (+ (* 1/2 (/ (- (* 1/2 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) a)) (+ (* 2 (* (pow a 2) (* (pow c 2) (- (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) a)))))) (+ (* 8 (* (pow a 2) (pow c 3))) (* (+ (* -4 (* a c)) (* 2 (* a c))) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (+ (* 4 (* a (pow c 2))) (* (+ (* -4 (* a c)) (* 2 (* a c))) (- (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) a)))))))))) (pow b 6))) (+ (* 1/2 (/ (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (+ (* 4 (* a (pow c 2))) (* (+ (* -4 (* a c)) (* 2 (* a c))) (- (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) a)))))) (pow b 4))) (/ 1 a)))))) |
(* a (pow b 2)) |
(* (pow b 2) (+ a (/ (* a (+ (* -4 (* a c)) (* 2 (* a c)))) (pow b 2)))) |
(* (pow b 2) (+ a (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (/ (* a (+ (* -4 (* a c)) (* 2 (* a c)))) (pow b 2))))) |
(* (pow b 2) (+ a (+ (* 2 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* 4 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (/ (* a (+ (* -4 (* a c)) (* 2 (* a c)))) (pow b 2)))))) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ c (- (* 2 b) b))) |
(+ (* -1 (/ c (- (* 2 b) b))) (* 1/2 (* a (- (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (pow c 2) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (* b (pow (- (* 2 b) b) 2)))))))) |
(+ (* -1 (/ c (- (* 2 b) b))) (* a (+ (* 1/2 (* a (- (+ (* -8 (/ (pow c 3) (* (pow b 4) (- (* 2 b) b)))) (* -2 (/ (* (pow c 2) (+ (* -4 c) (* 2 c))) (* (pow b 4) (- (* 2 b) b))))) (+ (* -4 (/ (pow c 3) (* (pow b 3) (pow (- (* 2 b) b) 2)))) (/ (* (+ (* -4 c) (* 2 c)) (- (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (pow c 2) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (* b (pow (- (* 2 b) b) 2)))))) (* b (- (* 2 b) b))))))) (* 1/2 (- (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (pow c 2) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (* b (pow (- (* 2 b) b) 2))))))))) |
(+ (* -1 (/ c (- (* 2 b) b))) (* a (+ (* 1/2 (- (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (pow c 2) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (* b (pow (- (* 2 b) b) 2)))))) (* a (+ (* 1/2 (* a (- (+ (* -8 (/ (pow c 4) (* (pow b 6) (- (* 2 b) b)))) (+ (* -4 (/ (* (pow c 3) (+ (* -4 c) (* 2 c))) (* (pow b 6) (- (* 2 b) b)))) (+ (* -4 (/ (pow c 4) (* (pow b 6) (- (* 2 b) b)))) (* -1/2 (/ (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))) (- (* 2 b) b)))))) (+ (* -8 (/ (pow c 4) (* (pow b 5) (pow (- (* 2 b) b) 2)))) (+ (* 2 (/ (* (pow c 2) (- (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (pow c 2) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (* b (pow (- (* 2 b) b) 2)))))) (* (pow b 3) (- (* 2 b) b)))) (/ (* (+ (* -4 c) (* 2 c)) (- (+ (* -8 (/ (pow c 3) (* (pow b 4) (- (* 2 b) b)))) (* -2 (/ (* (pow c 2) (+ (* -4 c) (* 2 c))) (* (pow b 4) (- (* 2 b) b))))) (+ (* -4 (/ (pow c 3) (* (pow b 3) (pow (- (* 2 b) b) 2)))) (/ (* (+ (* -4 c) (* 2 c)) (- (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (pow c 2) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (* b (pow (- (* 2 b) b) 2)))))) (* b (- (* 2 b) b)))))) (* b (- (* 2 b) b)))))))) (* 1/2 (- (+ (* -8 (/ (pow c 3) (* (pow b 4) (- (* 2 b) b)))) (* -2 (/ (* (pow c 2) (+ (* -4 c) (* 2 c))) (* (pow b 4) (- (* 2 b) b))))) (+ (* -4 (/ (pow c 3) (* (pow b 3) (pow (- (* 2 b) b) 2)))) (/ (* (+ (* -4 c) (* 2 c)) (- (+ (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (pow c 2) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (* c (+ (* -4 c) (* 2 c))) (* b (pow (- (* 2 b) b) 2)))))) (* b (- (* 2 b) b))))))))))) |
(pow b 2) |
(+ (* 2 (* a c)) (pow b 2)) |
(+ (* a (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2))))) (pow b 2)) |
(+ (* a (+ (* 2 c) (* a (+ (* 2 (/ (pow c 2) (pow b 2))) (* 4 (/ (* a (pow c 3)) (pow b 4))))))) (pow b 2)) |
(pow b 2) |
(+ (* a (+ (* -4 c) (* 2 c))) (pow b 2)) |
(+ (* a (+ (* -4 c) (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2)))))) (pow b 2)) |
(+ (* a (+ (* -4 c) (+ (* 2 c) (* a (+ (* 2 (/ (pow c 2) (pow b 2))) (* 4 (/ (* a (pow c 3)) (pow b 4)))))))) (pow b 2)) |
(* -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))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* 2 (pow b 2)) (pow b 2)) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (* -2 c))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))))) (pow b 2))) |
(+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (+ (* -2 c) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 4))) (* -2 (/ (pow c 2) (pow b 2)))))))) (pow b 2))) |
(* 1/4 (/ (* a (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (pow b 3))) |
(* a (+ (* 1/4 (/ (* a (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/4 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (pow b 3))))) |
(* a (+ (* 1/4 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/4 (/ (* a (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/4 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))))))) |
(* a (+ (* 1/4 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/4 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))) (* a (+ (* -1/4 (/ (* a (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/4 (/ (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (pow b 3))))))))) |
(* 1/2 (/ (* a (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (pow b 3))) |
(* a (+ (* 1/2 (/ (* a (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (pow b 3))))) |
(* a (+ (* 1/2 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (* a (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))))))) |
(* a (+ (* 1/2 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (pow b 3))))))))) |
(pow b 3) |
(+ (* 1/2 (/ (* a (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (pow b 3))) (pow b 3)) |
(+ (* a (+ (* 1/2 (/ (* a (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 3))) (* 1/2 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (pow b 3))))) (pow b 3)) |
(+ (* a (+ (* 1/2 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (pow b 3))) (* a (+ (* 1/2 (/ (* a (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 3))) (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (pow b 3))))))) (pow b 3)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -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))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(pow b 2) |
(+ (* 2 (* a c)) (pow b 2)) |
(+ (* a (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2))))) (pow b 2)) |
(+ (* a (+ (* 2 c) (* a (+ (* 2 (/ (pow c 2) (pow b 2))) (* 4 (/ (* a (pow c 3)) (pow b 4))))))) (pow b 2)) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 2 (* a c)) |
(* a (+ (* 2 c) (* 2 (/ (* a (pow c 2)) (pow b 2))))) |
(* a (+ (* 2 c) (* a (+ (* 2 (/ (pow c 2) (pow b 2))) (* 4 (/ (* a (pow c 3)) (pow b 4))))))) |
(* a (+ (* 2 c) (* a (+ (* 2 (/ (pow c 2) (pow b 2))) (* a (+ (* 1/2 (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6)))))) (* 4 (/ (pow c 3) (pow b 4))))))))) |
(* -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))))))))))) |
(* 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)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* 1/4 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) |
(+ (* 1/4 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (* a (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))) |
(+ (* 1/4 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (+ (* 1/2 (* a (- (* 1/2 (/ (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -1 (/ (* (pow c 2) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 c) (* -2 c)) (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/2 (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))))) |
(+ (* 1/4 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (+ (* 1/2 (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (* a (+ (* 1/2 (* a (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -2 (/ (* (pow c 2) (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -2 (/ (* (pow c 3) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 c) (* -2 c)) (- (* 1/2 (/ (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -1 (/ (* (pow c 2) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 c) (* -2 c)) (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (* 1/2 (- (* 1/2 (/ (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -1 (/ (* (pow c 2) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 c) (* -2 c)) (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))))))) |
(* a (+ (* 2 (pow b 2)) (pow b 2))) |
(* a (+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (* -2 c))) (pow b 2)))) |
(* a (+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (+ (* -2 c) (* -2 (/ (* a (pow c 2)) (pow b 2)))))) (pow b 2)))) |
(* a (+ (* 2 (pow b 2)) (+ (* a (+ (* -4 c) (+ (* -2 c) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 4))) (* -2 (/ (pow c 2) (pow b 2)))))))) (pow b 2)))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* 1/2 (* (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 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) a)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) a))))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) a)))))) |
(* a (+ (* -4 c) (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))))) |
(* a (+ (* -4 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) a))))) |
(* a (+ (* -4 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) a)))))) |
(* a (+ (* -4 c) (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) 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)))))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))) |
(* a (+ (* -4 c) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -4)))))) |
(* a (+ (* -4 c) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -4))))))) |
(* a (+ (* -4 c) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) |
(* 1/2 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ (pow c 3) a)) (sqrt -64))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (pow b 3)) (pow a 2))))) |
(* (pow a 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ (pow c 3) a)) (sqrt -64))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (pow b 3)) (pow a 2)))))) |
(* (pow a 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (sqrt -64)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -64) 2))))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ (pow c 3) a)) (sqrt -64))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (pow b 3)) (pow a 2))))))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (* (sqrt (/ (pow c 3) a)) (sqrt -64))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (sqrt -64)))) (* (sqrt (/ (pow c 3) a)) (sqrt -64)))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -64) 2))))) (sqrt -64)))) (* (sqrt (/ (pow c 3) a)) (sqrt -64))))) (/ (pow b 3) (pow a 2)))) |
(* (sqrt (* (pow a 3) (pow c 3))) (sqrt -64)) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (* (sqrt (/ (pow c 3) a)) (sqrt -64)))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (sqrt -64)))) (* (sqrt (/ (pow c 3) a)) (sqrt -64))))) |
(* (pow a 2) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (sqrt -64)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (- (pow b 6) (* 1/4 (/ (* a (pow (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 3) (pow (sqrt -64) 2))))) (sqrt -64)))) (* (sqrt (/ (pow c 3) a)) (sqrt -64)))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* 1/2 (* (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 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (* 2 (/ (pow b 2) a)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (* 2 (/ (pow b 2) a))))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (* 2 (/ (pow b 2) a)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -1 (* (sqrt (* a c)) (* b (sqrt -4)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (/ (pow b 2) a))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (/ (pow b 2) a)))) |
(* a (+ (* -1 (* (sqrt (/ c a)) (* b (sqrt -4)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (/ (pow b 2) 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))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))))) |
(+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) |
(+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2)))) (+ (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -64))) (* (sqrt -4) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (pow a 2))))) |
(+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2)))) (+ (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))))) (+ (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (* (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* -1 (/ (* (pow b 5) (* c (sqrt -64))) (* (sqrt -4) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -64))) (* (sqrt -4) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (pow a 3))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -64))) (* (sqrt -4) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (pow a 2)))))) |
(* (pow a 2) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))) |
(* (pow a 2) (+ (* -4 c) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -4)))))) |
(* (pow a 2) (+ (* -4 c) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -4))))))) |
(* (pow a 2) (+ (* -4 c) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 5) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 3) (sqrt -4)))) (+ (* 2 (/ (pow b 2) a)) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* -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))) |
(* 2 (* (sqrt (* a c)) (* b (sqrt -1)))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -2 (/ (pow b 2) a))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) a))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1))))) a)) (* 2 (pow b 2))) a))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (+ (* -2 (/ (pow b 2) a)) (* 4 c))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (+ (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) a)) (* 4 c))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1))))) a)) (* 2 (pow b 2))) a)) (* 4 c))))) |
(* -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))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) |
(* -1 (* a (+ (* -2 (/ (pow b 2) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1))))) a)) (* 2 (pow b 2))) a)) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(* 4 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -1))) |
(* (pow a 2) (+ (* 1/2 (/ (- (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (pow b 3)) (pow a 2))) (* 4 (* (sqrt (/ (pow c 3) a)) (sqrt -1))))) |
(* (pow a 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (sqrt -1) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c)))))) (+ (* 1/2 (/ (- (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (pow b 3)) (pow a 2))) (* 4 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (sqrt -1) (- (pow b 6) (* -1/256 (/ (* a (pow (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) 2)) (pow c 3))))))) (* 1/32 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c))))))) (pow a 3))) (+ (* 1/2 (/ (- (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (pow b 3)) (pow a 2))) (* 4 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))))) |
(* 8 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -1))) |
(* (pow a 2) (- (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (* 8 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (sqrt -1) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c)))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (* 8 (* (sqrt (/ (pow c 3) a)) (sqrt -1))))) (/ (pow b 3) (pow a 2)))) |
(* (pow a 2) (- (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (* (sqrt -1) (- (pow b 6) (* -1/256 (/ (* a (pow (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) 2)) (pow c 3))))))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c))))))) (pow a 3))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (* 8 (* (sqrt (/ (pow c 3) a)) (sqrt -1))))) (/ (pow b 3) (pow a 2)))) |
(* 8 (* (sqrt (* (pow a 3) (pow c 3))) (sqrt -1))) |
(* (pow a 2) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (* 8 (* (sqrt (/ (pow c 3) a)) (sqrt -1))))) |
(* (pow a 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (sqrt -1) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c)))))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (* 8 (* (sqrt (/ (pow c 3) a)) (sqrt -1)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -1/16 (* (sqrt (/ 1 (* a (pow c 3)))) (* (sqrt -1) (- (pow b 6) (* -1/256 (/ (* a (pow (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) 2)) (pow c 3))))))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (sqrt -1) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c))))))) (pow a 3))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))))) (* 8 (* (sqrt (/ (pow c 3) 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 (* (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))) |
(* 2 (* (sqrt (* a c)) (* b (sqrt -1)))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -2 (/ (pow b 2) a))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (* 2 (pow b 2))) a))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1))))) a)) (* 2 (pow b 2))) 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)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 2 (* (sqrt (* a c)) (* b (sqrt -1)))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (pow b 2) a))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (+ (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1)))) (pow b 2)) a))))) |
(* -1 (* a (+ (* -2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1))))) a)) (pow b 2)) a))))) |
(* (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)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -4 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(+ (* -8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2)))) (* -4 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) |
(+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* 1/2 (/ (- (* 1/16 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -32 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3)))) (+ (* 2 (/ (* (pow b 3) c) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (/ (pow b 3) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) a)) (* 8 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))))) a))) |
(+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/16 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -32 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3)))) (+ (* 2 (/ (* (pow b 3) c) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (/ (pow b 3) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) (* 1/2 (/ (- (* 1/16 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c)))) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -4 (/ (* (pow b 5) c) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3))) (* 2 (/ (* (pow b 2) (- (* 1/16 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -32 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3)))) (+ (* 2 (/ (* (pow b 3) c) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (/ (pow b 3) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) a))) a)) (* 8 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))))) a))) |
(* -1 (* (pow a 2) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))) |
(* (pow a 2) (+ (* -1 (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))) (* 2 (/ (pow b 2) a)))) |
(* (pow a 2) (+ (* -1 (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))) (* -1 (/ (+ (* -2 (pow b 2)) (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 3) (sqrt -1))))) a)))) |
(* (pow a 2) (+ (* -1 (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))) (* -1 (/ (+ (* -2 (pow b 2)) (* -1 (/ (+ (* -1/4 (* (sqrt (/ a c)) (* (pow b 3) (sqrt -1)))) (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 5) (sqrt -1))))) a))) a)))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
| Outputs |
|---|
(* -1 (/ c (- (* 2 b) b))) |
(/.f64 (neg.f64 c) (-.f64 (*.f64 #s(literal 2 binary64) b) b)) |
(* c (- (* 1/2 (* c (- (+ (* -2 (/ a (* (pow b 2) (- (* 2 b) b)))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* (pow b 2) (- (* 2 b) b))))) (* -2 (/ (+ (* -4 a) (* 2 a)) (* b (pow (- (* 2 b) b) 2))))))) (/ 1 (- (* 2 b) b)))) |
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(*.f64 b b) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) b) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
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(* -1/8 (* (sqrt (/ c a)) (sqrt -64))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -64 binary64)))) |
(+ (* -1/8 (* (sqrt (/ c a)) (sqrt -64))) (* -1/32 (/ (* b (* (sqrt -64) (sqrt -4))) a))) |
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(* -4 (* (pow a 2) c)) |
(*.f64 #s(literal -4 binary64) (*.f64 (*.f64 a a) c)) |
(+ (* -4 (* (pow a 2) c)) (* (sqrt (* (pow a 3) c)) (* b (sqrt -4)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 a a)) c (*.f64 (sqrt.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 b (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -4 (* (pow a 2) c)) (* b (+ (* 2 (* a b)) (* (sqrt (* (pow a 3) c)) (sqrt -4))))) |
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(+ (* -4 (* (pow a 2) c)) (* b (+ (* b (+ (* 1/2 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 2 a))) (* (sqrt (* (pow a 3) c)) (sqrt -4))))) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(neg.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(-.f64 b (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(fma.f64 b (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1 binary64)) (neg.f64 (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) |
(- (* 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))) |
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(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (neg.f64 c)) b) |
(/ (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 (/ (- (* -8 (* (pow a 2) (pow c 3))) (* -4 (* (pow a 2) (pow c 3)))) (pow b 4))))) b) |
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) #s(literal -4 binary64)) (pow.f64 b #s(literal 4 binary64))))) b) |
(/ (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 (/ (- (* -8 (* (pow a 2) (pow c 3))) (* -4 (* (pow a 2) (pow c 3)))) (pow b 4))) (* 1/2 (/ (- (+ (* -4 (* (pow a 2) (* (pow c 3) (- (* -4 (* a c)) (* -2 (* a c)))))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) a))) (* (- (* -8 (* (pow a 2) (pow c 3))) (* -4 (* (pow a 2) (pow c 3)))) (- (* -4 (* a c)) (* -2 (* a c))))) (pow b 6)))))) b) |
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 c (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) #s(literal -4 binary64)) (pow.f64 b #s(literal 4 binary64))) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) a) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a a)) (*.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 a c) #s(literal -2 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) #s(literal -4 binary64)) (*.f64 (*.f64 a c) #s(literal -2 binary64)))) (pow.f64 b #s(literal 6 binary64)))))) b) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (+ 1 (* 2 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (*.f64 b b))) #s(literal 1 binary64))) |
(* (pow b 2) (- (+ 1 (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b)))) |
(* (pow b 2) (- (+ 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)))))) |
(*.f64 (*.f64 b b) (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))))) |
(pow b 2) |
(*.f64 b b) |
(* (pow b 2) (- (+ 1 (* -4 (/ (* a c) (pow b 2)))) (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (fma.f64 (*.f64 a (/.f64 c (*.f64 b b))) #s(literal -2 binary64) #s(literal 1 binary64))) |
(* (pow b 2) (- (+ 1 (+ (* -4 (/ (* a c) (pow b 2))) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) (* -2 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 b b) (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a (/.f64 c (*.f64 b b))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a c)) (*.f64 b b))))) |
(* (pow b 2) (- (+ 1 (+ (* -4 (/ (* a c) (pow 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)))))) |
(*.f64 (*.f64 b b) (-.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b b))) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 c (*.f64 b b)) (/.f64 (*.f64 (*.f64 a a) (*.f64 c c)) (pow.f64 b #s(literal 4 binary64))))))) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (neg.f64 c)) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)) (neg.f64 c))) 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) |
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (neg.f64 c)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal 20 binary64)) (*.f64 a (pow.f64 b #s(literal 6 binary64)))) (/.f64 (neg.f64 (*.f64 a (*.f64 c c))) (*.f64 b b)))) b) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
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(pow b 3) |
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b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
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(pow b 2) |
(*.f64 b b) |
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(pow b 2) |
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(neg.f64 (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) b) a) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(neg.f64 (*.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))) (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) a) b) a) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 476 |
| 0 | 112 | 508 |
| 1 | 506 | 326 |
| 2 | 3530 | 326 |
| 0 | 10372 | 324 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (-.f64 (+.f64 b b) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))) b (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) a)))) |
(fma.f64 b b (*.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 (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))))) |
(*.f64 #s(literal -4 binary64) c) |
(/.f64 #s(literal -1 binary64) (/.f64 b c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
(/.f64 b c) |
(-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) |
(*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
(fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) |
(-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.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 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))))))))) (*.f64 #s(literal 2 binary64) a)))) |
(fma.f64 b b (*.f64 b (-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) (*.f64 b b)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a)) |
(*.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) |
(-.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) |
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|---|
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Compiled 286 745 to 13 342 computations (95.3% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 4 237 | 4 | 4 241 |
| Fresh | 2 | 1 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 4 243 | 8 | 4 251 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.8% | (/.f64 #s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 a c))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) |
| ▶ | 99.6% | (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) |
| ✓ | 80.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| ✓ | 43.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| ✓ | 43.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
| ▶ | 43.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
| ▶ | 51.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b))) |
| ▶ | 43.6% | #s(approx (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b))) |
Compiled 174 to 143 computations (17.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 a c) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) (*.f64 a c)) | |
| cost-diff | 0 | #s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 a c))) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 a c))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) | |
| cost-diff | 0 | (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) | |
| cost-diff | 0 | (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b) | |
| cost-diff | 0 | (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b))) | |
| cost-diff | 0 | (*.f64 (*.f64 a c) #s(literal -12 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b))) | |
| cost-diff | 512 | (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) | |
| cost-diff | 640 | (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) b) c) | |
| cost-diff | 0 | (*.f64 a c) | |
| cost-diff | 64 | (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) | |
| cost-diff | 320 | (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) | |
| cost-diff | 1024 | (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 409 |
| 0 | 93 | 408 |
| 1 | 190 | 383 |
| 2 | 477 | 356 |
| 3 | 1402 | 354 |
| 4 | 4211 | 354 |
| 0 | 8085 | 352 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) |
(/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) |
(*.f64 a c) |
a |
c |
#s(literal -4 binary64) |
#s(literal 0 binary64) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) |
#s(literal 1/2 binary64) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 b b) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
(/.f64 #s(literal -1 binary64) b) |
#s(literal -1 binary64) |
b |
c |
#s(approx (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b))) |
(/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) |
#s(literal 1/12 binary64) |
(*.f64 (*.f64 a c) #s(literal -12 binary64)) |
(*.f64 a c) |
a |
c |
#s(literal -12 binary64) |
(*.f64 a b) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b))) |
(neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b)) |
(/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b) |
(fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) |
c |
(/.f64 (*.f64 a c) (*.f64 b b)) |
(*.f64 a c) |
a |
(*.f64 b b) |
b |
(/.f64 #s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 a c))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) |
#s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 a c))) |
(*.f64 #s(literal -2 binary64) (*.f64 a c)) |
#s(literal -2 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) |
(/.f64 (*.f64 #s(literal -2 binary64) c) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) |
(*.f64 #s(literal -4 binary64) c) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) |
(*.f64 (*.f64 #s(literal -4 binary64) c) a) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
#s(literal -4 binary64) |
#s(literal 0 binary64) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
#s(literal 1/2 binary64) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 b b) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
(/.f64 (neg.f64 c) b) |
(/.f64 #s(literal -1 binary64) b) |
#s(literal -1 binary64) |
b |
c |
#s(approx (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b))) |
#s(approx (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b)) |
(/.f64 (neg.f64 c) b) |
(*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) |
(*.f64 (neg.f64 a) c) |
#s(literal 1/12 binary64) |
(*.f64 (*.f64 a c) #s(literal -12 binary64)) |
(*.f64 #s(literal -12 binary64) (*.f64 c a)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
#s(literal -12 binary64) |
(*.f64 a b) |
(*.f64 b a) |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (fma.f64 (/.f64 (/.f64 a b) b) (neg.f64 c) #s(literal -1 binary64)) (/.f64 c b))) |
(neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b)) |
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) (neg.f64 c) #s(literal -1 binary64)) (/.f64 c b)) |
(/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b) |
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) a #s(literal 1 binary64)) (/.f64 c b)) |
(fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) |
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) a #s(literal 1 binary64)) c) |
c |
(/.f64 (*.f64 a c) (*.f64 b b)) |
(*.f64 (/.f64 (/.f64 a b) b) c) |
(*.f64 a c) |
(*.f64 c a) |
a |
(*.f64 b b) |
b |
(/.f64 #s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 a c))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) |
(/.f64 #s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 (*.f64 #s(literal -2 binary64) c) a)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a)) |
#s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 a c))) |
#s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 (*.f64 #s(literal -2 binary64) c) a)) |
(*.f64 #s(literal -2 binary64) (*.f64 a c)) |
(*.f64 (*.f64 #s(literal -2 binary64) c) a) |
#s(literal -2 binary64) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) a) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 c #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) | |
| accuracy | 0 | #s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 a c))) | |
| accuracy | 0.25 | (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) | |
| accuracy | 0.5 | (/.f64 #s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 a c))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) | |
| accuracy | 0 | (*.f64 a c) | |
| accuracy | 0 | (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b)) | |
| accuracy | 0.5 | (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b) | |
| accuracy | 30.885356393196094 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b))) | |
| accuracy | 0 | (*.f64 a b) | |
| accuracy | 0.25 | (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) | |
| accuracy | 0.5 | (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b)) | |
| accuracy | 36.11757593972556 | #s(approx (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) b) | |
| accuracy | 0.5 | (*.f64 (/.f64 #s(literal -1 binary64) b) c) | |
| accuracy | 36.11757593972556 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) | |
| accuracy | 0 | (*.f64 a c) | |
| accuracy | 0 | (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) | |
| accuracy | 0.25 | (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) | |
| accuracy | 0.25 | (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) |
| 1.0ms | 3× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 694 to 97 computations (86% saved)
ival-mult: 1.0ms (68.8% of total)adjust: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)const: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)ival-pow: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (patch (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) (patch (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1 binary64) b) c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) b) (patch (/.f64 #s(literal -1 binary64) b) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b)) (patch (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (patch (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b))) (patch #s(approx (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 a c) #s(literal -12 binary64)) (patch (*.f64 (*.f64 a c) #s(literal -12 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b))) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b)) (patch (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b) (patch (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b) #<representation binary64>) () ()) |
#s(alt (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) (patch (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 a c))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) (patch (/.f64 #s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 a c))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 a c))) (patch #s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 a c))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -2 binary64) (*.f64 a c)) (patch (*.f64 #s(literal -2 binary64) (*.f64 a c)) #<representation binary64>) () ()) |
#s(alt (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -4 c) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (patch (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (patch (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (patch (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -4 c) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (patch (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) #<representation binary64>) () ())) ()) |
#s(alt (* 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))) (taylor 0 c) (#s(alt (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) (patch (*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) (patch (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) (patch (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) (patch (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) (patch (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1 binary64) b) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1 binary64) b) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1 binary64) b) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) b) c) (patch (*.f64 (/.f64 #s(literal -1 binary64) b) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) #<representation binary64>) () ())) ()) |
#s(alt (* 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))) (taylor 0 c) (#s(alt #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) (patch #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b)) (patch (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b)) (patch (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b)) (patch (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b)) (patch (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a c)) (taylor 0 c) (#s(alt (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (patch (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a c)) (taylor 0 c) (#s(alt (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (patch (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a c)) (taylor 0 c) (#s(alt (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (patch (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a c)) (taylor 0 c) (#s(alt (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (patch (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (/ (* c (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (taylor 0 c) (#s(alt #s(approx (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b))) (patch #s(approx (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/4 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (* c (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))))) (taylor 0 c) (#s(alt #s(approx (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b))) (patch #s(approx (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/4 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/2 (* c (- (* 1/2 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -1 (/ (* a (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/2 (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))))))) (taylor 0 c) (#s(alt #s(approx (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b))) (patch #s(approx (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -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)))))) (taylor -inf a) (#s(alt (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* a b) (taylor -inf a) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ()) |
#s(alt (* a b) (taylor -inf a) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ()) |
#s(alt (* a b) (taylor -inf a) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ()) |
#s(alt (* a b) (taylor -inf a) (#s(alt (*.f64 a b) (patch (*.f64 a b) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | a | @ | -inf | ((/ (+ (* (* a c) -4) 0) a) (* (/ (+ (* (* a c) -4) 0) a) (/ 1/2 (+ (sqrt (+ (* a (* c -4)) (* b b))) b))) (+ (* (* a c) -4) 0) (* a c) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ (* 1/12 (* (* a c) -12)) (* a b)) (* 1/12 (* (* a c) -12)) (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (* (* a c) -12) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* c (/ (* a c) (* b b))) c) b)) (/ (+ (* c (/ (* a c) (* b b))) c) b) (+ (* c (/ (* a c) (* b b))) c) (/ (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (* (+ (sqrt (+ (* a (* c -4)) (* b b))) b) a)) (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (* -2 (* a c)) (+ (sqrt (+ (* a (* c -4)) (* b b))) b) (sqrt (+ (* a (* c -4)) (* b b))) (* a b)) |
| 4.0ms | b | @ | 0 | ((/ (+ (* (* a c) -4) 0) a) (* (/ (+ (* (* a c) -4) 0) a) (/ 1/2 (+ (sqrt (+ (* a (* c -4)) (* b b))) b))) (+ (* (* a c) -4) 0) (* a c) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ (* 1/12 (* (* a c) -12)) (* a b)) (* 1/12 (* (* a c) -12)) (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (* (* a c) -12) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* c (/ (* a c) (* b b))) c) b)) (/ (+ (* c (/ (* a c) (* b b))) c) b) (+ (* c (/ (* a c) (* b b))) c) (/ (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (* (+ (sqrt (+ (* a (* c -4)) (* b b))) b) a)) (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (* -2 (* a c)) (+ (sqrt (+ (* a (* c -4)) (* b b))) b) (sqrt (+ (* a (* c -4)) (* b b))) (* a b)) |
| 3.0ms | a | @ | inf | ((/ (+ (* (* a c) -4) 0) a) (* (/ (+ (* (* a c) -4) 0) a) (/ 1/2 (+ (sqrt (+ (* a (* c -4)) (* b b))) b))) (+ (* (* a c) -4) 0) (* a c) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ (* 1/12 (* (* a c) -12)) (* a b)) (* 1/12 (* (* a c) -12)) (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (* (* a c) -12) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* c (/ (* a c) (* b b))) c) b)) (/ (+ (* c (/ (* a c) (* b b))) c) b) (+ (* c (/ (* a c) (* b b))) c) (/ (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (* (+ (sqrt (+ (* a (* c -4)) (* b b))) b) a)) (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (* -2 (* a c)) (+ (sqrt (+ (* a (* c -4)) (* b b))) b) (sqrt (+ (* a (* c -4)) (* b b))) (* a b)) |
| 3.0ms | c | @ | inf | ((/ (+ (* (* a c) -4) 0) a) (* (/ (+ (* (* a c) -4) 0) a) (/ 1/2 (+ (sqrt (+ (* a (* c -4)) (* b b))) b))) (+ (* (* a c) -4) 0) (* a c) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ (* 1/12 (* (* a c) -12)) (* a b)) (* 1/12 (* (* a c) -12)) (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (* (* a c) -12) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* c (/ (* a c) (* b b))) c) b)) (/ (+ (* c (/ (* a c) (* b b))) c) b) (+ (* c (/ (* a c) (* b b))) c) (/ (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (* (+ (sqrt (+ (* a (* c -4)) (* b b))) b) a)) (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (* -2 (* a c)) (+ (sqrt (+ (* a (* c -4)) (* b b))) b) (sqrt (+ (* a (* c -4)) (* b b))) (* a b)) |
| 3.0ms | c | @ | 0 | ((/ (+ (* (* a c) -4) 0) a) (* (/ (+ (* (* a c) -4) 0) a) (/ 1/2 (+ (sqrt (+ (* a (* c -4)) (* b b))) b))) (+ (* (* a c) -4) 0) (* a c) (* (/ -1 b) c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ -1 b) (/ (* 1/12 (* (* a c) -12)) (* a b)) (* 1/12 (* (* a c) -12)) (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (* (* a c) -12) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (/ (+ (* c (/ (* a c) (* b b))) c) b)) (/ (+ (* c (/ (* a c) (* b b))) c) b) (+ (* c (/ (* a c) (* b b))) c) (/ (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (* (+ (sqrt (+ (* a (* c -4)) (* b b))) b) a)) (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (* -2 (* a c)) (+ (sqrt (+ (* a (* c -4)) (* b b))) b) (sqrt (+ (* a (* c -4)) (* b b))) (* a b)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1342 | 14482 |
| 1 | 4531 | 14142 |
| 0 | 8541 | 13616 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -1 (/ c 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))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c 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))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* 1/4 (/ (* c (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) |
(* c (+ (* 1/4 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (* c (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))))) |
(* c (+ (* 1/4 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/2 (* c (- (* 1/2 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -1 (/ (* a (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/2 (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))))))) |
(* c (+ (* 1/4 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/2 (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* c (+ (* 1/2 (* c (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -2 (/ (* (pow a 2) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (+ (* -2 (/ (* (pow a 2) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -1 (/ (* a (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (* 1/2 (- (* 1/2 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -1 (/ (* a (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2)))))))))))) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* -1 (/ c 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))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
c |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* -1 (/ c 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 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 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)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -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))))))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* 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 b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* 1/2 (* (sqrt (* a c)) (/ (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))) |
(* c (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (* 1/2 (* (sqrt (/ a c)) (/ (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))))) |
(* c (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (+ (* 1/2 (* (sqrt (/ a c)) (/ (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -64)) (* (sqrt -4) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (* a (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (pow c 2)))))) |
(* c (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (+ (* 1/2 (* (sqrt (/ a c)) (/ (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))) (+ (* 1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* -1 (/ (* (pow b 5) (sqrt -64)) (* (sqrt -4) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -64)) (* (sqrt -4) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (* a (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))))) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (pow c 3))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ c (pow a 5))) (/ (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* (sqrt -64) (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (sqrt -64)) (* (sqrt -4) (pow (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (* a (+ (* -4 a) (* (sqrt (/ a c)) (* b (sqrt -4))))))))) (pow c 2))))))) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* 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 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -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))))))) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* (sqrt (* 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))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -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))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (* (sqrt (/ c a)) (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 b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -4 (* (sqrt (* a c)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) |
(* -1 (* c (+ (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (* 8 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -8 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2)))) (* -1/2 (/ (- (* 1/16 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -32 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 3)))) (+ (* 2 (/ (pow b 3) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))) (/ (pow b 3) (* a (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))) c))) c)) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -8 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2)))) (* -1 (/ (+ (* -1/2 (/ (- (* 1/16 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 4 (* a (pow b 4))) (* 8 (* a (pow b 4))))) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -4 (/ (pow b 5) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 3))) (* 2 (/ (* (pow b 2) (- (* 1/16 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -32 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 3)))) (+ (* 2 (/ (pow b 3) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))) (/ (pow b 3) (* a (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))))) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))) c)) (* 1/2 (- (* 1/16 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2))))) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))) (+ (* -32 (* (sqrt (/ a c)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 3)))) (+ (* 2 (/ (pow b 3) (pow (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)) 2))) (/ (pow b 3) (* a (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a))))))))) c))) c)) (* 4 (* (sqrt (/ a c)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ a c)) (* b (sqrt -1)))) (* 4 a)))))))) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* -1 (* (sqrt (/ c a)) (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 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* -1 (* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -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))) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 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 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* 1/2 (* (sqrt (/ c a)) (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 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1/8 (* (sqrt (/ c a)) (sqrt -64))) |
(+ (* -1/8 (* (sqrt (/ c a)) (sqrt -64))) (* -1/32 (/ (* b (* (sqrt -64) (sqrt -4))) a))) |
(+ (* -1/8 (* (sqrt (/ c a)) (sqrt -64))) (* b (+ (* -1/32 (/ (* (sqrt -64) (sqrt -4)) a)) (* 1/2 (* b (- (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64)))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -64) (pow (sqrt -4) 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -64)))))))))) |
(+ (* -1/8 (* (sqrt (/ c a)) (sqrt -64))) (* b (+ (* -1/32 (/ (* (sqrt -64) (sqrt -4)) a)) (* b (+ (* 1/2 (* b (- (* 1/4 (/ 1 (* (pow a 2) c))) (+ (* -1/4 (* (sqrt (/ 1 (* a c))) (* (sqrt -4) (- (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64)))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -64) (pow (sqrt -4) 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -64)))))))) (+ (* 1/32 (/ (sqrt -64) (* (pow a 2) (* c (sqrt -4))))) (* 1/32 (/ (* (sqrt -64) (sqrt -4)) (* (pow a 2) c)))))))) (* 1/2 (- (* -1/8 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (sqrt -64)))) (+ (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (sqrt -64) (pow (sqrt -4) 2)))) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -64))))))))))) |
(* 1/2 (* (sqrt (/ c a)) (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 (/ (* a (pow c 2)) (pow b 3))) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) |
(/ (- (* -1 (* (pow b 2) c)) (* a (pow c 2))) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 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))))))) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* 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))))))))) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* -1 (/ c b)) |
(/ (+ (* -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 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(/ (+ (* -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))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(/ -1 b) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* 1/12 (/ (+ (* -8 (* a c)) (* -4 (* a c))) (* a b))) |
(/ (+ (* 1/12 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (* 1/2 (/ (- (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) a))) (pow b 2)))) b) |
(/ (+ (* 1/12 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (+ (* 1/2 (/ (- (* 1/6 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) a)) (+ (* -1/9 (* a (* (pow c 2) (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) a))))))) (pow b 4))) (* 1/2 (/ (- (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) a))) (pow b 2))))) b) |
(/ (+ (* 1/12 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (+ (* 1/2 (/ (- (* -1/6 (/ (+ (* 1/4 (pow (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) 2)) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))))))))) a)) (+ (* -2/3 (* (pow a 2) (* (pow c 2) (- (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) a)))))) (+ (* -2/9 (* (pow a 2) (* (pow c 3) (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* 1/6 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) a)) (+ (* -1/9 (* a (* (pow c 2) (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) a)))))))))))) (pow b 6))) (+ (* 1/2 (/ (- (* 1/6 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) a)) (+ (* -1/9 (* a (* (pow c 2) (+ (* -8 (* a c)) (* -4 (* a c)))))) (* 1/3 (* (+ (* -4 (* a c)) (* -2 (* a c))) (- (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) a))))))) (pow b 4))) (* 1/2 (/ (- (* 1/6 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (* 1/18 (/ (* (+ (* -8 (* a c)) (* -4 (* a c))) (+ (* -4 (* a c)) (* -2 (* a c)))) a))) (pow b 2)))))) b) |
(* -1 (/ c b)) |
(/ (+ (* -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))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (/ c b)) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ (- (* -1 (/ (* a (pow c 2)) (pow b 2))) c) b) |
(/ c b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(* -1 (/ c b)) |
(/ (+ (* -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) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* 2 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))))))) |
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))))))) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* -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)))))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -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 b) |
(/ -1 b) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* 1/2 (/ (- (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) a))) (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* 1/2 (/ (- (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) a))) (pow b 2))) (+ (* 1/2 (/ (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (+ (* 4 (* a (pow c 2))) (* (+ (* -4 (* a c)) (* 2 (* a c))) (- (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) a)))))) (pow b 4))) (/ 1 a))))) |
(* -1 (* b (+ (* 1/2 (/ (- (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) a))) (pow b 2))) (+ (* 1/2 (/ (- (* 1/2 (/ (- (* -64 (* (pow a 3) (pow c 3))) (* 1/2 (* (+ (* -8 (* a c)) (* -4 (* a c))) (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2)))))) a)) (+ (* 2 (* (pow a 2) (* (pow c 2) (- (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) a)))))) (+ (* 8 (* (pow a 2) (pow c 3))) (* (+ (* -4 (* a c)) (* 2 (* a c))) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (+ (* 4 (* a (pow c 2))) (* (+ (* -4 (* a c)) (* 2 (* a c))) (- (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) a)))))))))) (pow b 6))) (+ (* 1/2 (/ (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow c 2))) (* 32 (* (pow a 2) (pow c 2)))) (* 1/4 (pow (+ (* -8 (* a c)) (* -4 (* a c))) 2))) a)) (+ (* 4 (* a (pow c 2))) (* (+ (* -4 (* a c)) (* 2 (* a c))) (- (* 1/2 (/ (+ (* -8 (* a c)) (* -4 (* a c))) a)) (* 2 (/ (+ (* -4 (* a c)) (* 2 (* a c))) a)))))) (pow b 4))) (/ 1 a)))))) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -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 (/ c b)) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(* -1 (/ (- (/ (* a (pow c 2)) (pow b 2)) (* -1 c)) b)) |
(/ c b) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b)) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(* -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)))))) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* 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) |
(* -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)))))))) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -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))))))))))) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* -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))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* 1/4 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) |
(+ (* 1/4 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (* a (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))) |
(+ (* 1/4 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (+ (* 1/2 (* a (- (* 1/2 (/ (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -1 (/ (* (pow c 2) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 c) (* -2 c)) (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/2 (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))))) |
(+ (* 1/4 (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* a (+ (* 1/2 (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (* a (+ (* 1/2 (* a (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -2 (/ (* (pow c 2) (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -2 (/ (* (pow c 3) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 c) (* -2 c)) (- (* 1/2 (/ (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -1 (/ (* (pow c 2) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 c) (* -2 c)) (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (* 1/2 (- (* 1/2 (/ (- (* -64 (pow c 3)) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6))))) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (+ (* -1 (/ (* (pow c 2) (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c)))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 c) (* -2 c)) (- (* 1/2 (/ (- (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* 1/4 (/ (pow (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) 2) (pow b 6)))) (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2))))) (* 1/2 (/ (* (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (+ (* -4 c) (* -2 c))) (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))) (+ (* 2 (pow b 2)) (pow b 2))))))))))) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* -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))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1 (/ c b)) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(- (* -1 (/ (* a (pow c 2)) (pow b 3))) (/ c b)) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(* -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))))))))))) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* 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)))))))) |
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)))))))) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -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) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* 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 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))))) |
(+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) |
(+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2)))) (+ (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -64))) (* (sqrt -4) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (pow a 2))))) |
(+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2)))) (+ (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))))) (+ (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* -8 (* (pow b 4) c)) (* -4 (* (pow b 4) c))) (* (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* -1 (/ (* (pow b 5) (* c (sqrt -64))) (* (sqrt -4) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 3)))) (* 2 (/ (* (pow b 2) (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -64))) (* (sqrt -4) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4))))))))) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (pow a 3))) (* 1/2 (/ (- (* 1/2 (* (sqrt (/ a (pow c 3))) (/ (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2)))) (* (sqrt -64) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -64)) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 3)))) (+ (* 1/2 (/ (* (pow b 3) (* c (sqrt -64))) (* (sqrt -4) (pow (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))) 2)))) (/ (pow b 3) (+ (* -4 c) (* (sqrt (/ c a)) (* b (sqrt -4)))))))) (pow a 2)))))) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* 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 (pow c 2)) (pow b 3))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(* a (- (* -1 (/ c (* a b))) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* -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) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* (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))))) |
(* (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 b) |
(* a b) |
(* a b) |
(* a b) |
(* -4 c) |
(* -4 c) |
(* -4 c) |
(* -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)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* -4 (* a c)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* -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 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -4 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) |
(+ (* -8 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2)))) (* -4 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) |
(+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* 1/2 (/ (- (* 1/16 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -32 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3)))) (+ (* 2 (/ (* (pow b 3) c) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (/ (pow b 3) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) a)) (* 8 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))))) a))) |
(+ (* -4 (* (sqrt (/ (pow c 3) a)) (/ (sqrt -1) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/16 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -32 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3)))) (+ (* 2 (/ (* (pow b 3) c) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (/ (pow b 3) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) (* 1/2 (/ (- (* 1/16 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 4 (* (pow b 4) c)) (* 8 (* (pow b 4) c)))) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -4 (/ (* (pow b 5) c) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3))) (* 2 (/ (* (pow b 2) (- (* 1/16 (* (sqrt (/ a (pow c 3))) (/ (* (sqrt -1) (+ (* 16 (* (pow b 2) (pow c 2))) (* 32 (* (pow b 2) (pow c 2))))) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))) (+ (* -32 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 4) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 3)))) (+ (* 2 (/ (* (pow b 3) c) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))) (/ (pow b 3) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c))))))) (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)))))) a))) a)) (* 8 (* (sqrt (/ (pow c 3) a)) (/ (* (pow b 2) (sqrt -1)) (pow (+ (* 2 (* (sqrt (/ c a)) (* b (sqrt -1)))) (* 4 c)) 2))))) a))) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* -12 (* a c)) |
(* -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 (pow c 2)) (pow b 3))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (- (/ c (* a b)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 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 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* a c)) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -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)))))))) |
(* a b) |
(* a b) |
(* a b) |
(* a b) |
| Outputs |
|---|
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -4 c) |
(*.f64 c #s(literal -4 binary64)) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* 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))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* -4 (* a c)) |
(*.f64 (*.f64 a c) #s(literal -4 binary64)) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* a c) |
(*.f64 a c) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -2 binary64) (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* 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))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal -1 binary64) b)) c) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (* a c)) |
(*.f64 (neg.f64 a) c) |
(* -1 (* a c)) |
(*.f64 (neg.f64 a) c) |
(* -1 (* a c)) |
(*.f64 (neg.f64 a) c) |
(* -1 (* a c)) |
(*.f64 (neg.f64 a) c) |
(* 1/4 (/ (* c (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) a) #s(literal -12 binary64)) c)) (*.f64 (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))) |
(* c (+ (* 1/4 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (* c (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 a a)) #s(literal 48 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) a) #s(literal -12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64))) (*.f64 (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))) (*.f64 (/.f64 (*.f64 a #s(literal -6 binary64)) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) a) #s(literal -12 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) a) #s(literal -12 binary64))) (*.f64 (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) c) |
(* c (+ (* 1/4 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/2 (* c (- (* 1/2 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -1 (/ (* a (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2))))))) (* 1/2 (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) a) #s(literal -12 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 a a)) #s(literal 48 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) a) #s(literal -12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64))) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 b b))) (neg.f64 (fma.f64 (neg.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) a) #s(literal -12 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (*.f64 a #s(literal -6 binary64)) (*.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 a a)) #s(literal 48 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) a) #s(literal -12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64))) (*.f64 (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))) (*.f64 (/.f64 (*.f64 a #s(literal -6 binary64)) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) a) #s(literal -12 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 b b))))))) c (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 a a)) #s(literal 48 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) a) #s(literal -12 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -1/4 binary64))) (*.f64 (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 b b)))) (*.f64 (/.f64 (*.f64 a #s(literal -6 binary64)) (*.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) a) #s(literal -12 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 b #s(literal 4 binary64))))))))) c (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) a) #s(literal -12 binary64))) (*.f64 (*.f64 a (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 b b))))) c) |
(* c (+ (* 1/4 (/ (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* c (+ (* 1/2 (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* c (+ (* 1/2 (* c (- (* -1/2 (/ (+ (* 1/4 (/ (pow (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) 2) (pow b 6))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -2 (/ (* (pow a 2) (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 7) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (+ (* -2 (/ (* (pow a 2) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (* (pow b 2) (+ (* 2 (pow b 2)) (pow b 2))))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -1 (/ (* a (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* 2 (pow b 2)) (pow b 2)))))))) (* 1/2 (- (* 1/2 (/ (- (* -64 (pow a 3)) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6))))) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (+ (* -1 (/ (* a (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4))))) (* (pow b 5) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2)))) (/ (* (+ (* -4 a) (* -2 a)) (- (* 1/2 (/ (- (+ (* 16 (* (pow a 2) (pow b 2))) (* 32 (* (pow a 2) (pow b 2)))) (* 1/4 (/ (pow (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) 2) (pow b 6)))) (* a (* (pow b 3) (+ (* 2 (pow b 2)) (pow b 2)))))) (* 1/2 (/ (* (+ (* -8 (* a (pow b 4))) (* -4 (* a (pow b 4)))) (+ (* -4 a) (* -2 a))) (* a (* (pow b 3) (pow (+ (* 2 (pow b 2)) (pow b 2)) 2))))))) (+ (* 2 (pow b 2)) (pow b 2)))))))))))) |
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(* -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)) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64)) a) #s(literal -2 binary64) (*.f64 (*.f64 a b) #s(literal -1/2 binary64))) a))) (neg.f64 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)) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) b (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64))) (*.f64 (*.f64 (*.f64 a a) (/.f64 (pow.f64 b #s(literal 3 binary64)) c)) #s(literal -1/32 binary64))) a) #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64)) #s(literal 2 binary64))) (neg.f64 a))) a))) (neg.f64 a)) |
(* -2 (* a c)) |
(*.f64 (*.f64 #s(literal -2 binary64) a) c) |
(* -2 (* a c)) |
(*.f64 (*.f64 #s(literal -2 binary64) a) c) |
(* -2 (* a c)) |
(*.f64 (*.f64 #s(literal -2 binary64) a) c) |
(* -2 (* a c)) |
(*.f64 (*.f64 #s(literal -2 binary64) a) c) |
(* -2 (* a c)) |
(*.f64 (*.f64 #s(literal -2 binary64) a) c) |
(* -2 (* a c)) |
(*.f64 (*.f64 #s(literal -2 binary64) a) c) |
(* -2 (* a c)) |
(*.f64 (*.f64 #s(literal -2 binary64) a) c) |
(* -2 (* a c)) |
(*.f64 (*.f64 #s(literal -2 binary64) a) c) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) #s(literal -2 binary64)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64) (/.f64 (neg.f64 b) a))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.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) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) a)) (neg.f64 a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c))) #s(literal -2 binary64)) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/4 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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64)))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 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 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 1/4 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 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64)))))) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
(* a b) |
(*.f64 a b) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 294 |
| 0 | 93 | 291 |
| 1 | 376 | 226 |
| 2 | 2995 | 226 |
| 0 | 9314 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) |
(*.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) a) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) #s(literal 0 binary64)) |
(*.f64 a c) |
(*.f64 (/.f64 #s(literal -1 binary64) b) c) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
(/.f64 #s(literal -1 binary64) b) |
(/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b)) |
(*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) |
#s(approx (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 a c) #s(literal -12 binary64))) (*.f64 a b))) |
(*.f64 (*.f64 a c) #s(literal -12 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b))) |
(neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b)) |
(/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b) |
(fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) |
(/.f64 #s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 a c))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) |
#s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 a c))) |
(*.f64 #s(literal -2 binary64) (*.f64 a c)) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(*.f64 a b) |
| Outputs |
|---|
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Compiled 41 388 to 3 755 computations (90.9% saved)
9 alts after pruning (3 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 432 | 3 | 1 435 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 434 | 9 | 1 443 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 98.8% | (/.f64 #s(approx (* (- (+ (* a (* c -4)) (* b b)) (* b b)) 1/2) (*.f64 #s(literal -2 binary64) (*.f64 a c))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) a)) |
| ✓ | 80.6% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) |
| 99.6% | (*.f64 #s(approx (/ (+ (* (* a c) -4) 0) a) (*.f64 c #s(literal -4 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b))) | |
| 43.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (*.f64 (neg.f64 c) a) (*.f64 b a))) | |
| ✓ | 43.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| ✓ | 43.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
| ✓ | 43.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
| ✓ | 51.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (/.f64 (fma.f64 c (/.f64 (*.f64 a c) (*.f64 b b)) c) b))) |
| 43.6% | #s(approx (/ (* (- (pow (+ (* a (* c -4)) (* b b)) 3/2) (pow b 3)) 1/2) (* (+ (* b (+ (sqrt (+ (* a (* c -4)) (* b b))) b)) (+ (* a (* c -4)) (* b b))) a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b a) (*.f64 (neg.f64 c) a)))) |
Compiled 603 to 217 computations (64% saved)
Compiled 17 to 14 computations (17.6% saved)
1 calls:
| 0.0ms | (/.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)) |
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