
Time bar (total: 9.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 48.6% | 51.4% | 0% | 0% | 0% | 0 |
| 0% | 0% | 48.6% | 51.4% | 0% | 0% | 0% | 1 |
| 0% | 0% | 48.6% | 51.4% | 0% | 0% | 0% | 2 |
| 0% | 0% | 48.6% | 51.4% | 0% | 0% | 0% | 3 |
| 0% | 0% | 48.6% | 51.4% | 0% | 0% | 0% | 4 |
| 31.3% | 15.2% | 33.4% | 51.4% | 0% | 0% | 0% | 5 |
| 34.4% | 16.7% | 31.9% | 51.4% | 0% | 0% | 0% | 6 |
| 51.6% | 25.1% | 23.6% | 51.4% | 0% | 0% | 0% | 7 |
| 53.1% | 25.8% | 22.8% | 51.4% | 0% | 0% | 0% | 8 |
| 62.5% | 30.4% | 18.2% | 51.4% | 0% | 0% | 0% | 9 |
| 63.7% | 31% | 17.7% | 51.4% | 0% | 0% | 0% | 10 |
| 68.6% | 33.3% | 15.3% | 51.4% | 0% | 0% | 0% | 11 |
| 69.2% | 33.7% | 15% | 51.4% | 0% | 0% | 0% | 12 |
Compiled 27 to 21 computations (22.2% saved)
| 1.0s | 6 251× | 0 | valid |
| 303.0ms | 995× | 2 | valid |
| 160.0ms | 609× | 1 | valid |
| 134.0ms | 401× | 3 | valid |
const: 355.0ms (28.8% of total)ival-mult: 283.0ms (22.9% of total)ival-sqrt: 185.0ms (15% of total)ival-add: 120.0ms (9.7% of total)ival-div: 93.0ms (7.5% of total)ival-fabs: 69.0ms (5.6% of total)adjust: 68.0ms (5.5% of total)ival-<: 38.0ms (3.1% of total)ival-and: 11.0ms (0.9% of total)exact: 9.0ms (0.7% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 63 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) |
| 34 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| 24 | 0 | - | 0 | - | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | p |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) p) p) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) p) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) | oflow-rescue | 63 | 0 |
| ↳ | (*.f64 #s(literal 4 binary64) p) | overflow | 1 | |
| ↳ | (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) | overflow | 63 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) p) p) | overflow | 63 | |
+.f64 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) | cancellation | 34 | 0 |
sqrt.f64 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) | uflow-rescue | 24 | 0 |
| ↳ | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) | underflow | 3 | |
| ↳ | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) | underflow | 27 | |
| ↳ | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) | underflow | 27 | |
| ↳ | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) | underflow | 9 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) p) p) | underflow | 59 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 58 | 0 |
| - | 63 | 135 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 58 | 0 | 0 |
| - | 63 | 0 | 135 |
| number | freq |
|---|---|
| 0 | 135 |
| 1 | 121 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 57.0ms | 56× | 2 | valid |
| 53.0ms | 396× | 0 | valid |
| 7.0ms | 42× | 1 | valid |
| 6.0ms | 18× | 3 | valid |
Compiled 211 to 46 computations (78.2% saved)
ival-div: 49.0ms (59.6% of total)ival-mult: 12.0ms (14.6% of total)ival-sqrt: 10.0ms (12.2% of total)ival-add: 7.0ms (8.5% of total)adjust: 3.0ms (3.6% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 252× | distribute-lft-neg-in |
| 218× | unsub-neg |
| 198× | associate-*r* |
| 196× | associate-*l* |
| 162× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 93 |
| 1 | 90 | 87 |
| 2 | 194 | 87 |
| 3 | 401 | 87 |
| 4 | 661 | 87 |
| 5 | 999 | 87 |
| 6 | 1334 | 87 |
| 7 | 1544 | 87 |
| 8 | 1698 | 87 |
| 9 | 1932 | 87 |
| 10 | 1999 | 87 |
| 11 | 2027 | 87 |
| 12 | 2029 | 87 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 38 | 17 |
| 2 | 45 | 17 |
| 3 | 47 | 17 |
| 4 | 48 | 17 |
| 0 | 48 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) |
| Outputs |
|---|
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) |
(abs p)
Compiled 19 to 14 computations (26.3% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.7% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) |
Compiled 19 to 14 computations (26.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) | |
| cost-diff | 128 | (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) | |
| cost-diff | 128 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) |
| 32× | lower-*.f32 |
| 24× | lower-*.f64 |
| 18× | lower-fma.f64 |
| 18× | lower-fma.f32 |
| 12× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 94 |
| 0 | 23 | 94 |
| 1 | 38 | 94 |
| 2 | 45 | 94 |
| 3 | 47 | 94 |
| 4 | 48 | 94 |
| 0 | 48 | 86 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
#s(literal 1 binary64) |
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
x |
(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 4 binary64) p) p) |
(*.f64 #s(literal 4 binary64) p) |
#s(literal 4 binary64) |
p |
(*.f64 x x) |
| Outputs |
|---|
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
x |
(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) |
(sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) |
(fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 4 binary64) p) p) |
(*.f64 (*.f64 p #s(literal 4 binary64)) p) |
(*.f64 #s(literal 4 binary64) p) |
(*.f64 p #s(literal 4 binary64)) |
#s(literal 4 binary64) |
p |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) | |
| accuracy | 5.36585188626102 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) | |
| accuracy | 7.523476986281956 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) | |
| accuracy | 14.63530602503128 | (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) |
| 25.0ms | 198× | 0 | valid |
| 10.0ms | 21× | 1 | valid |
| 7.0ms | 28× | 2 | valid |
| 3.0ms | 9× | 3 | valid |
Compiled 96 to 16 computations (83.3% saved)
ival-sqrt: 12.0ms (36.5% of total)ival-mult: 12.0ms (36.5% of total)ival-add: 4.0ms (12.2% of total)ival-div: 2.0ms (6.1% of total)adjust: 2.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) (patch (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) (patch (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) (patch (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 p) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) (patch (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (pow p 2) (pow x 2)))) (taylor 0 p) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) (patch (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) (taylor 0 p) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) (patch (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) (taylor 0 p) (#s(alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) (patch (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 p) (#s(alt (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) (patch (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (pow p 2)) (pow x 2)) (taylor 0 p) (#s(alt (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) (patch (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (pow p 2)) (pow x 2)) (taylor 0 p) (#s(alt (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) (patch (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (pow p 2)) (pow x 2)) (taylor 0 p) (#s(alt (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) (patch (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt 1/2) (sqrt 2)) (taylor 0 p) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) (taylor 0 p) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2)))))) (taylor 0 p) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) (patch (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x)) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x)) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x)) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ (pow p 2) (pow x 2))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2)) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) (patch (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) (patch (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) (patch (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) (patch (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))) (taylor -inf x) (#s(alt (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) (patch (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | -inf | ((* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (sqrt (+ (* (* 4 p) p) (* x x)))) |
| 3.0ms | x | @ | inf | ((* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (sqrt (+ (* (* 4 p) p) (* x x)))) |
| 3.0ms | p | @ | 0 | ((* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (sqrt (+ (* (* 4 p) p) (* x x)))) |
| 2.0ms | p | @ | inf | ((* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (sqrt (+ (* (* 4 p) p) (* x x)))) |
| 2.0ms | x | @ | 0 | ((* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (* 4 p) p) (* x x)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (sqrt (+ (* (* 4 p) p) (* x x)))) |
| 1× | egg-herbie |
| 9 590× | lower-fma.f64 |
| 9 590× | lower-fma.f32 |
| 6 900× | lower-*.f64 |
| 6 900× | lower-*.f32 |
| 4 472× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 434 | 2486 |
| 1 | 1325 | 2377 |
| 2 | 4611 | 2304 |
| 0 | 8084 | 2141 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) |
(pow x 2) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
2 |
(+ 2 (* -2 (/ (pow p 2) (pow x 2)))) |
(+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
x |
(+ x (* 2 (/ (pow p 2) x))) |
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))) |
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))) |
(* 4 (pow p 2)) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))) |
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3)))))) |
1 |
(+ 1 (* 1/2 (/ x p))) |
(+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) |
(+ 1 (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))) |
(* 2 p) |
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))) |
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))) |
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
1/2 |
(+ 1/2 (* -1/4 (/ x p))) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
(* 4 (pow p 2)) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
1 |
(+ 1 (* -1/2 (/ x p))) |
(+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))) |
(* -2 p) |
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))) |
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(* 4 (pow p 2)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p))))) |
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3)))))))) |
1 |
(+ 1 (* 1/2 (/ x p))) |
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))) |
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))) |
(* 2 p) |
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p)) |
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))) |
2 |
(+ 2 (* -2 (/ (pow p 2) (pow x 2)))) |
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) |
(+ 2 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) |
x |
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))) |
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))) |
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))) |
(/ (pow p 2) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x)) |
(* 2 (/ (pow p 2) (pow x 2))) |
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2)) |
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2)))) (pow x 2)) |
(/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2)) |
(* -1 x) |
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 p p) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 p (/.f64 p (pow.f64 x #s(literal 6 binary64)))) #s(literal -10 binary64) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 p p) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(fma.f64 #s(literal 4 binary64) (*.f64 p p) (*.f64 x x)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(fma.f64 #s(literal 4 binary64) (*.f64 p p) (*.f64 x x)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(fma.f64 #s(literal 4 binary64) (*.f64 p p) (*.f64 x x)) |
(* (sqrt 1/2) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(fma.f64 (*.f64 (neg.f64 p) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 p p) #s(literal 1/2 binary64)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x))) (*.f64 p p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 x x)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 p p) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (*.f64 p p) (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) x))) (*.f64 p p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 #s(literal -2 binary64) (*.f64 p (/.f64 p (*.f64 x x))) #s(literal 2 binary64)) |
(+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 p p) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 2 binary64)) |
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -20 binary64) (*.f64 p (/.f64 p (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 6 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 p p) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 2 binary64)) |
x |
(+ x (* 2 (/ (pow p 2) x))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x) |
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (*.f64 p (/.f64 p (*.f64 (*.f64 x x) x))) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 p p) x) |
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 p p) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x)) #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) x))) (*.f64 p p) (/.f64 #s(literal 2 binary64) x)) (*.f64 p p) x) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
(fma.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 p p) p))) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))) |
(fma.f64 x (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal -3/256 binary64) (pow.f64 p #s(literal 5 binary64)))) #s(literal -1/2 binary64) (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 p p) p))) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) p))) #s(literal 1/2 binary64)) |
(* 4 (pow p 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 p p)) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(*.f64 (fma.f64 x (/.f64 x (*.f64 p p)) #s(literal 4 binary64)) (*.f64 p p)) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(*.f64 (fma.f64 x (/.f64 x (*.f64 p p)) #s(literal 4 binary64)) (*.f64 p p)) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(*.f64 (fma.f64 x (/.f64 x (*.f64 p p)) #s(literal 4 binary64)) (*.f64 p p)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))) |
(fma.f64 (fma.f64 (*.f64 x #s(literal -1/32 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 p p)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3)))))) |
(fma.f64 (fma.f64 (*.f64 x #s(literal -1/32 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 p p)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) x (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal -3/64 binary64) (*.f64 (*.f64 p p) p))) (sqrt.f64 #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) |
(fma.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 p p) p))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) x #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))))) |
(fma.f64 x (fma.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -3/256 binary64) (pow.f64 p #s(literal 5 binary64))) (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 p p) p))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p))) #s(literal 1 binary64)) |
(* 2 p) |
(*.f64 #s(literal 2 binary64) p) |
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))) |
(*.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 p p))) #s(literal 1/4 binary64) #s(literal 2 binary64)) p) |
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 p p) (*.f64 p p))) #s(literal -1/64 binary64) (fma.f64 (*.f64 x (/.f64 x (*.f64 p p))) #s(literal 1/4 binary64) #s(literal 2 binary64))) p) |
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) #s(literal 1/512 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 p p) (*.f64 p p))) #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) x) x) (*.f64 p p)))) #s(literal 2 binary64)) p) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (/ x p))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 p p))) #s(literal -1/32 binary64) (*.f64 #s(literal 1/4 binary64) x)) p)) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x (fma.f64 (/.f64 (*.f64 #s(literal -3/256 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 p p) (*.f64 p p))) #s(literal -1/2 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 x x)) x) (*.f64 p p))) p)) |
(* 4 (pow p 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 p p)) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(*.f64 (fma.f64 x (/.f64 x (*.f64 p p)) #s(literal 4 binary64)) (*.f64 p p)) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(*.f64 (fma.f64 x (/.f64 x (*.f64 p p)) #s(literal 4 binary64)) (*.f64 p p)) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(*.f64 (fma.f64 x (/.f64 x (*.f64 p p)) #s(literal 4 binary64)) (*.f64 p p)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p)) #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 1/4 binary64))) p)) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) x (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal -1/32 binary64) x) x (*.f64 (/.f64 (*.f64 #s(literal -3/64 binary64) (*.f64 (*.f64 x x) x)) p) #s(literal -1/2 binary64)))) (neg.f64 p))) p)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) (/.f64 x (*.f64 p p))) #s(literal -1/16 binary64) (*.f64 #s(literal 1/2 binary64) x)) p)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -3/256 binary64) (*.f64 (*.f64 p p) (*.f64 p p))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal -1/16 binary64) (*.f64 p p)))) p)) |
(* -2 p) |
(*.f64 #s(literal -2 binary64) p) |
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))) |
(*.f64 (neg.f64 p) (fma.f64 (*.f64 x (/.f64 x (*.f64 p p))) #s(literal 1/4 binary64) #s(literal 2 binary64))) |
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
(*.f64 (neg.f64 p) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 p p) (*.f64 p p))) #s(literal -1/64 binary64) (fma.f64 (*.f64 x (/.f64 x (*.f64 p p))) #s(literal 1/4 binary64) #s(literal 2 binary64)))) |
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))) |
(*.f64 (neg.f64 p) (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) #s(literal 1/512 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 p p) (*.f64 p p))) #s(literal -1/64 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) x) x) (*.f64 p p)))) #s(literal 2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(fma.f64 (fma.f64 (*.f64 x (/.f64 x (*.f64 (*.f64 p p) p))) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 x (pow.f64 p #s(literal 5 binary64)))) #s(literal 3/512 binary64) (/.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 p p) p))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)) |
(* 4 (pow p 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 p p)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(fma.f64 #s(literal 4 binary64) (*.f64 p p) (*.f64 x x)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(fma.f64 #s(literal 4 binary64) (*.f64 p p) (*.f64 x x)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(fma.f64 #s(literal 4 binary64) (*.f64 p p) (*.f64 x x)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p))))) |
(fma.f64 (fma.f64 (*.f64 x #s(literal -1/32 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 p p)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ x p))) |
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(* 2 p) |
(*.f64 #s(literal 2 binary64) p) |
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1 |
#s(literal 1 binary64) |
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(*.f64 x x) |
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2 |
#s(literal 2 binary64) |
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x |
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))) |
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(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))) |
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(/ (pow p 2) (pow x 2)) |
(*.f64 p (/.f64 p (*.f64 x x))) |
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(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 p p) (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) |
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(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
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(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) p) p (/.f64 (fma.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -12 binary64) (*.f64 (*.f64 p p) (*.f64 p p))) (*.f64 p p))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 x x)) |
(/ (+ (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (* 2 (pow p 2))))) (pow x 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (*.f64 (*.f64 p p) (*.f64 p p))) #s(literal -256 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) p) p) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) p) p) (*.f64 #s(literal -12 binary64) (*.f64 (*.f64 p p) (*.f64 p p))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal 144 binary64) (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (*.f64 (*.f64 p p) (*.f64 p p)))) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) p) p (/.f64 (fma.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal -12 binary64) (*.f64 (*.f64 p p) (*.f64 p p))) (*.f64 p p))) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 x x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 p p) (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -2 binary64) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -2 binary64) (*.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) (*.f64 x x))))) x x)) |
| 4 862× | lower-fma.f64 |
| 4 862× | lower-fma.f32 |
| 3 532× | lower-*.f32 |
| 3 524× | lower-*.f64 |
| 2 388× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 66 |
| 0 | 23 | 66 |
| 1 | 77 | 66 |
| 2 | 501 | 66 |
| 3 | 6967 | 66 |
| 0 | 8492 | 59 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) |
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x) (*.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (-.f64 (-.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (fma.f64 x (+.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64))) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x)) #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x #s(literal -1 binary64))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x))) (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/8 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (*.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x))) (*.f64 #s(literal 1/4 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/8 binary64)))) |
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(fma.f64 (/.f64 x (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (fma.f64 x (+.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64))) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (neg.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 p p)) p) p))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 p #s(literal 4 binary64)) p))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 p p)) p) p))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 p p) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 p p)) p) p))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 p p) (*.f64 x x))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 p p) p) #s(literal 64 binary64)) (*.f64 (*.f64 p p) p)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 p p)) p) p (*.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 p p))) (*.f64 x x)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 p p) p) #s(literal 64 binary64)) (*.f64 (*.f64 p p) p)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 p p)) p) p (*.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 p p))) (*.f64 x x)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 p p) p) #s(literal 64 binary64)) (*.f64 (*.f64 p p) p)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 p p)) p) p (*.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 p p))) (*.f64 x x)))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 p p)) p) p)))) (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 p #s(literal 4 binary64)) p))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 p p) p) #s(literal 64 binary64)) (*.f64 (*.f64 p p) p))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 p p)) p) p (*.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 p p))) (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 #s(literal -16 binary64) (*.f64 (*.f64 (*.f64 p p) p) p)))) (sqrt.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 p p))))) |
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) (fma.f64 #s(literal -4 binary64) (*.f64 p p) (*.f64 x x)))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 p p) (*.f64 x x)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 p p) p) #s(literal 64 binary64)) (*.f64 (*.f64 p p) p))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 p p)) p) p (*.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 p p))) (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 p p)) p) p))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 p #s(literal 4 binary64)) p))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 p p)) p) p))) (sqrt.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 p p) p) #s(literal 64 binary64)) (*.f64 (*.f64 p p) p)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 p p)) p) p (*.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 p p))) (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 p p) p) #s(literal 64 binary64)) (*.f64 (*.f64 p p) p)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 p p)) p) p (*.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 p p))) (*.f64 x x))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 p #s(literal 4 binary64)) p))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) x (*.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 p p)) p) p))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 p p)) p) p (*.f64 (fma.f64 x x (*.f64 #s(literal -4 binary64) (*.f64 p p))) (*.f64 x x)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (*.f64 p p) p) #s(literal 64 binary64)) (*.f64 (*.f64 p p) p)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/2 binary64))) |
Compiled 15 630 to 1 953 computations (87.5% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 377 | 17 | 394 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 378 | 17 | 395 |
| Status | Accuracy | Program |
|---|---|---|
| 50.7% | (/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) | |
| ▶ | 79.7% | (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ▶ | 77.6% | (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) |
| 50.8% | (sqrt.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)))) | |
| 52.4% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))) | |
| 52.4% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))))) | |
| ▶ | 52.4% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
| 16.0% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (*.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) | |
| 49.9% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) | |
| ▶ | 28.9% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))) |
| 12.9% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)))) | |
| 11.4% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) p) p) (*.f64 #s(literal -12 binary64) (*.f64 (*.f64 p p) (*.f64 p p))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 p p)) (*.f64 x x)))) | |
| 18.8% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x))))) | |
| 38.4% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64))) | |
| ▶ | 53.6% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
| 49.6% | #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) | |
| 25.4% | #s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x))) |
Compiled 1 042 to 424 computations (59.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) | |
| cost-diff | 320 | (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) | |
| cost-diff | 2688 | (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (neg.f64 p) | |
| cost-diff | 0 | (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) | |
| cost-diff | 0 | (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 8 040× | lower-fma.f32 |
| 8 032× | lower-fma.f64 |
| 3 234× | lower-*.f32 |
| 3 226× | lower-*.f64 |
| 1 282× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 507 |
| 0 | 66 | 499 |
| 1 | 125 | 499 |
| 2 | 232 | 499 |
| 3 | 584 | 499 |
| 4 | 1710 | 499 |
| 5 | 4291 | 466 |
| 6 | 6233 | 459 |
| 7 | 7167 | 459 |
| 8 | 7720 | 459 |
| 9 | 7833 | 459 |
| 10 | 7853 | 459 |
| 0 | 8024 | 456 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
x |
(sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) |
(*.f64 p #s(literal 4 binary64)) |
p |
#s(literal 4 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)) |
(neg.f64 p) |
p |
(/.f64 p (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) |
(*.f64 p #s(literal 4 binary64)) |
p |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
#s(literal -1 binary64) |
(+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
x |
(sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) |
(*.f64 p #s(literal 4 binary64)) |
p |
#s(literal 4 binary64) |
(*.f64 x x) |
(/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
#s(literal 1 binary64) |
| Outputs |
|---|
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) x #s(literal 1/2 binary64)) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) |
x |
(sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) |
(*.f64 p #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) p) |
p |
#s(literal 4 binary64) |
(*.f64 x x) |
#s(literal 1/2 binary64) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 p (*.f64 x x)) (neg.f64 p) #s(literal 1 binary64)))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 p (*.f64 x x)) (neg.f64 p) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 p (*.f64 x x)) (neg.f64 p) #s(literal 1 binary64)) |
(neg.f64 p) |
p |
(/.f64 p (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) |
(*.f64 p #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) p) |
p |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(sqrt.f64 (*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64))) |
#s(literal -1 binary64) |
(+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) |
x |
(sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) |
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) |
(*.f64 p #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) p) |
p |
#s(literal 4 binary64) |
(*.f64 x x) |
(/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
(/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.254723807951137 | (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) | |
| accuracy | 8.254723807951137 | (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) | |
| accuracy | 14.63530602503128 | (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) | |
| accuracy | 24.498133012507097 | (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) | |
| accuracy | 0.0078125 | (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) | |
| accuracy | 5.36585188626102 | (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) | |
| accuracy | 14.205459821490946 | (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64)) | |
| accuracy | 14.63530602503128 | (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) | |
| accuracy | 0.07421875 | (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)) | |
| accuracy | 0.1953125 | (/.f64 p (*.f64 x x)) | |
| accuracy | 5.36585188626102 | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))) | |
| accuracy | 45.431940470665594 | #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))) | |
| accuracy | 5.36585188626102 | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) | |
| accuracy | 30.104816230271524 | #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)) | |
| accuracy | 0.015625 | (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) | |
| accuracy | 5.36585188626102 | (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 7.522607369904728 | (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 14.63530602503128 | (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
| 55.0ms | 63× | 2 | valid |
| 39.0ms | 128× | 0 | valid |
| 36.0ms | 49× | 1 | valid |
| 16.0ms | 16× | 3 | valid |
Compiled 519 to 41 computations (92.1% saved)
ival-mult: 26.0ms (25.5% of total)ival-sqrt: 19.0ms (18.6% of total)ival-div: 18.0ms (17.7% of total)adjust: 17.0ms (16.7% of total)ival-add: 16.0ms (15.7% of total)ival-sub: 4.0ms (3.9% of total)ival-neg: 1.0ms (1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (patch (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (patch (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) (patch (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)) (patch #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))) (patch #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)) (patch (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 p) (patch (neg.f64 p) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (patch (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (patch (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (patch (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (patch (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 p (*.f64 x x)) (patch (/.f64 p (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) (patch (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (patch (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 p) (#s(alt (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) (taylor 0 p) (#s(alt (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) (taylor 0 p) (#s(alt (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) (taylor 0 p) (#s(alt (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 p) (#s(alt (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (pow p 2) (pow x 2)))) (taylor 0 p) (#s(alt (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) (taylor 0 p) (#s(alt (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) (taylor 0 p) (#s(alt (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 p) (#s(alt (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (patch (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (/ (pow p 2) (pow x 2)))) (taylor 0 p) (#s(alt (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (patch (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) (taylor 0 p) (#s(alt (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (patch (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) (taylor 0 p) (#s(alt (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (patch (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 p) (#s(alt (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (patch (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* 2 (/ (pow p 2) x))) (taylor 0 p) (#s(alt (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (patch (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))) (taylor 0 p) (#s(alt (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (patch (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))) (taylor 0 p) (#s(alt (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (patch (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt 1/2) (sqrt 2)) (taylor 0 p) (#s(alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) (patch (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) (taylor 0 p) (#s(alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) (patch (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2)))))) (taylor 0 p) (#s(alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) (patch (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2)))))))) (taylor 0 p) (#s(alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) (patch (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 p) (#s(alt #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)) (patch #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (pow p 2) (pow x 2)))) (taylor 0 p) (#s(alt #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)) (patch #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) (taylor 0 p) (#s(alt #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)) (patch #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) (taylor 0 p) (#s(alt #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)) (patch #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt 1/2) (sqrt 2)) (taylor 0 p) (#s(alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))) (patch (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | x | @ | inf | ((sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (neg p) (/ p (* x x))) 1) (neg p) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (* p 4) p) (* x x))))) (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (* p 4) p) (* x x)))))) (sqrt (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (* p 4) p) (* x x))))))) (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ p (* x x)) (+ (* (* p 4) p) (* x x)) (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) |
| 22.0ms | x | @ | -inf | ((sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (neg p) (/ p (* x x))) 1) (neg p) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (* p 4) p) (* x x))))) (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (* p 4) p) (* x x)))))) (sqrt (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (* p 4) p) (* x x))))))) (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ p (* x x)) (+ (* (* p 4) p) (* x x)) (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) |
| 9.0ms | p | @ | inf | ((sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (neg p) (/ p (* x x))) 1) (neg p) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (* p 4) p) (* x x))))) (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (* p 4) p) (* x x)))))) (sqrt (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (* p 4) p) (* x x))))))) (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ p (* x x)) (+ (* (* p 4) p) (* x x)) (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) |
| 6.0ms | p | @ | 0 | ((sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (neg p) (/ p (* x x))) 1) (neg p) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (* p 4) p) (* x x))))) (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (* p 4) p) (* x x)))))) (sqrt (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (* p 4) p) (* x x))))))) (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ p (* x x)) (+ (* (* p 4) p) (* x x)) (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) |
| 5.0ms | x | @ | 0 | ((sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (sqrt (+ (* (* p 4) p) (* x x))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (+ (* (neg p) (/ p (* x x))) 1) (neg p) (sqrt (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2)) (+ (* (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) x) 1/2) (/ 1/2 (sqrt (+ (* (* p 4) p) (* x x)))) (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (* p 4) p) (* x x))))) (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (* p 4) p) (* x x)))))) (sqrt (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (+ (* (* p 4) p) (* x x))))))) (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ p (* x x)) (+ (* (* p 4) p) (* x x)) (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (- 1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) |
| 1× | egg-herbie |
| 6 992× | lower-fma.f64 |
| 6 992× | lower-fma.f32 |
| 6 964× | lower-*.f64 |
| 6 964× | lower-*.f32 |
| 4 820× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1460 | 20510 |
| 1 | 4788 | 20185 |
| 0 | 8196 | 18822 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
x |
(+ x (* 2 (/ (pow p 2) x))) |
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))) |
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(* -1 p) |
(* -1 p) |
(* -1 p) |
(* -1 p) |
1 |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) |
(/ 1/2 x) |
(+ (* -1 (/ (pow p 2) (pow x 3))) (* 1/2 (/ 1 x))) |
(+ (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 5))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x))) |
(+ (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 7))) (* 3 (/ 1 (pow x 5))))) (/ 1 (pow x 3)))) (* 1/2 (/ 1 x))) |
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))) (pow p 2))) |
(/ (- (* 2 (pow p 2)) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow p 2)) |
(/ (- (* (pow p 2) (+ 2 (* -2 (/ (pow p 2) (pow x 2))))) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow p 2)) |
(/ (- (* (pow p 2) (+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow p 2)) |
(* -1/2 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))) (pow p 2))) |
(/ (+ (* -1/2 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow p 2)) (pow p 2)) |
(/ (+ (* -1/2 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (* (pow p 2) (+ 1 (* -1 (/ (pow p 2) (pow x 2)))))) (pow p 2)) |
(/ (+ (* -1/2 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (* (pow p 2) (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))))) (pow p 2)) |
(* (/ (sqrt -1/2) p) (sqrt (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) |
(/ (+ (* -1 (* (* (pow p 2) (sqrt -1/2)) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (* (sqrt -1/2) (sqrt (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))))) p) |
(/ (+ (* (sqrt -1/2) (sqrt (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (* (pow p 2) (+ (* -1 (* (sqrt -1/2) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (* (* (pow p 2) (* (sqrt -1/2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))))))))) p) |
(/ (+ (* (sqrt -1/2) (sqrt (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (* (pow p 2) (+ (* -1 (* (sqrt -1/2) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (* (pow p 2) (+ (* -1/2 (* (* (pow p 2) (* (sqrt -1/2) (+ (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (* 6 (/ 1 (pow x 4)))))) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (* (* (sqrt -1/2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))))) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))))))))))) p) |
(* 1/2 (/ (pow x 2) (pow p 2))) |
(/ (+ (* 1/2 (pow x 2)) (* 3/2 (pow p 2))) (pow p 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow p 2) (+ 3/2 (* -1/2 (/ (pow p 2) (pow x 2)))))) (pow p 2)) |
(/ (+ (* 1/2 (pow x 2)) (* (pow p 2) (+ 3/2 (* (pow p 2) (- (/ (pow p 2) (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))))) (pow p 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(pow x 2) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(* -2 (/ (pow p 2) (pow x 2))) |
(* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))) |
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))) |
(* 2 (/ (pow p 2) (pow x 2))) |
(* (pow p 2) (+ (* -6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(* (pow p 2) (+ (* (pow p 2) (- (* 20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))) |
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2)))))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))) |
(* 1/2 (/ x p)) |
(/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p) |
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p) |
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p) |
(* 2 p) |
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))) |
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))) |
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))) |
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3)))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))) |
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3)))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))) |
(* -1 (/ (pow p 2) (pow x 2))) |
(* (pow p 2) (- (/ 1 (pow p 2)) (/ 1 (pow x 2)))) |
(* (pow p 2) (- (/ 1 (pow p 2)) (/ 1 (pow x 2)))) |
(* (pow p 2) (- (/ 1 (pow p 2)) (/ 1 (pow x 2)))) |
(* -1 p) |
(* -1 p) |
(* -1 p) |
(* -1 p) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2)))))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))) |
(/ 1/4 p) |
(/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p) |
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p) |
(/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p) |
1 |
(+ 1 (* 1/2 (/ x p))) |
(+ 1 (+ (* -1/8 (/ (pow x 3) (pow p 3))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (+ (* 1/8 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))))) |
(+ 1 (+ (* -1/8 (/ (pow x 3) (pow p 3))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (+ (* -1/16 (/ (pow x 4) (pow p 4))) (+ (* -1/32 (/ (pow x 4) (pow p 4))) (+ (* 1/16 (/ (pow x 4) (pow p 4))) (+ (* 1/8 (/ (pow x 3) (pow p 3))) (+ (* 1/2 (/ x p)) (* 1/2 (/ (* x (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) (pow p 4))))))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (+ (* 1/4 (/ x p)) (* 1/2 (/ (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) (pow p 3))))) |
(+ 1/2 (+ (* 1/4 (/ x p)) (+ (* 1/2 (/ (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) (pow p 3))) (* 1/2 (/ (+ (* -1/16 (pow x 4)) (+ (* -1/32 (pow x 4)) (+ (* 1/16 (pow x 4)) (* 1/2 (* x (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))))))) (pow p 4)))))) |
(* (sqrt -1) (sqrt -1/2)) |
(+ (* -1/4 (/ (* x (sqrt -1/2)) (* p (sqrt -1)))) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/4 (/ (* x (sqrt -1/2)) (* p (sqrt -1)))) (+ (* -1/32 (/ (* (pow x 2) (sqrt -1/2)) (* (pow p 2) (pow (sqrt -1) 3)))) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/2 (/ (* (sqrt -1/2) (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (+ (* 1/64 (/ (pow x 3) (pow (sqrt -1) 4))) (* 1/8 (pow x 3)))))) (* (pow p 3) (sqrt -1)))) (+ (* -1/4 (/ (* x (sqrt -1/2)) (* p (sqrt -1)))) (+ (* -1/32 (/ (* (pow x 2) (sqrt -1/2)) (* (pow p 2) (pow (sqrt -1) 3)))) (* (sqrt -1) (sqrt -1/2))))) |
1 |
(+ 1 (* 1/2 (/ x p))) |
(- (+ 1 (* 1/4 (/ (pow x 2) (pow p 2)))) (* -1/2 (/ x p))) |
(- (+ 1 (* -1 (/ (+ (* -1/8 (pow x 3)) (* 1/16 (pow x 3))) (pow p 3)))) (+ (* -1/2 (/ x p)) (* -1/4 (/ (pow x 2) (pow p 2))))) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(* 4 (pow p 2)) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
-1 |
(- (* 1/2 (/ x p)) 1) |
(- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))) 1) |
(- (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) 1) |
1 |
(+ 1 (* -1/2 (/ x p))) |
(- (+ 1 (* 1/16 (/ (pow x 3) (pow p 3)))) (* 1/2 (/ x p))) |
(- (+ 1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p))) |
1/2 |
(+ 1/2 (* -1/4 (/ x p))) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
(* -1/2 (/ x p)) |
(* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) |
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) |
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p)) |
(* -2 p) |
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))) |
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
1/2 |
(+ 1/2 (* -1/4 (/ x p))) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
1/2 |
(+ 1/2 (* -1/4 (/ x p))) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
(* -1 (/ (pow p 2) (pow x 2))) |
(* (pow p 2) (- (/ 1 (pow p 2)) (/ 1 (pow x 2)))) |
(* (pow p 2) (- (/ 1 (pow p 2)) (/ 1 (pow x 2)))) |
(* (pow p 2) (- (/ 1 (pow p 2)) (/ 1 (pow x 2)))) |
(* -1 p) |
(* -1 p) |
(* -1 p) |
(* -1 p) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p))) |
1/2 |
(+ 1/2 (* -1/4 (/ x p))) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
(/ -1/4 p) |
(* -1 (/ (+ 1/4 (* -1/32 (/ (pow x 2) (pow p 2)))) p)) |
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (* -1/32 (/ (pow x 2) (pow p 2))))) p)) |
(* -1 (/ (+ 1/4 (+ (* -1/2 (/ (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))) (pow p 4))) (+ (* -1/2 (/ (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))))) (pow p 6))) (* -1/32 (/ (pow x 2) (pow p 2)))))) p)) |
1 |
(+ 1 (* -1/2 (/ x p))) |
(+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 3) (pow p 2))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (+ (* 1/8 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (pow x 4)) (+ (* -1/32 (pow x 4)) (+ (* 1/16 (pow x 4)) (* 1/2 (* x (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))))))) (pow p 3))) (+ (* -1/8 (/ (pow x 3) (pow p 2))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (+ (* 1/8 (/ (pow x 3) (pow p 2))) (* 1/2 x))))) p))) |
1/2 |
(+ 1/2 (* -1/4 (/ x p))) |
(+ 1/2 (* -1 (/ (+ (* 1/4 x) (* 1/2 (/ (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) (pow p 2)))) p))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/16 (pow x 4)) (+ (* -1/32 (pow x 4)) (+ (* 1/16 (pow x 4)) (* 1/2 (* x (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))))))) (pow p 3))) (+ (* 1/4 x) (* 1/2 (/ (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) (pow p 2))))) p))) |
(* (sqrt -1) (sqrt -1/2)) |
(+ (* 1/4 (/ (* x (sqrt -1/2)) (* p (sqrt -1)))) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1 (/ (+ (* -1/4 (/ (* x (sqrt -1/2)) (sqrt -1))) (* 1/32 (/ (* (pow x 2) (sqrt -1/2)) (* p (pow (sqrt -1) 3))))) p)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow x 2) (sqrt -1/2)) (pow (sqrt -1) 3))) (* 1/2 (/ (* (sqrt -1/2) (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (+ (* 1/64 (/ (pow x 3) (pow (sqrt -1) 4))) (* 1/8 (pow x 3)))))) (* p (sqrt -1))))) p)) (* -1/4 (/ (* x (sqrt -1/2)) (sqrt -1)))) p)) (* (sqrt -1) (sqrt -1/2))) |
1 |
(+ 1 (* -1/2 (/ x p))) |
(+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) p)) (* -1/2 x)) p))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/8 (/ (pow x 3) p)) (* 1/16 (/ (pow x 3) p))) (* -1/4 (pow x 2))) p)) (* -1/2 x)) p))) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(* 4 (pow p 2)) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
-1 |
(- (* -1/2 (/ x p)) 1) |
(- (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) 1) |
(- (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) 1) |
1 |
(+ 1 (* 1/2 (/ x p))) |
(+ 1 (* -1 (/ (- (* 1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))) |
(+ 1 (* -1 (/ (- (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4)) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(* 1/2 (/ x p)) |
(* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))) |
(* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) |
(* 2 p) |
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p)) |
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p))))) |
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3)))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p))))) |
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3)))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(* -1 (/ (pow p 2) (pow x 2))) |
(/ (+ (* -1 (pow p 2)) (pow x 2)) (pow x 2)) |
(/ (+ (* -1 (pow p 2)) (pow x 2)) (pow x 2)) |
(/ (+ (* -1 (pow p 2)) (pow x 2)) (pow x 2)) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(/ 1/4 p) |
(+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))) |
(+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/4096 (/ (pow x 2) (pow p 7))) (* 3/512 (/ 1 (pow p 5))))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))) |
1 |
(+ 1 (* 1/2 (/ x p))) |
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))) |
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(* (sqrt -1) (sqrt -1/2)) |
(+ (* -1/4 (/ (* x (sqrt -1/2)) (* p (sqrt -1)))) (* (sqrt -1) (sqrt -1/2))) |
(+ (* x (+ (* -1/4 (/ (sqrt -1/2) (* p (sqrt -1)))) (* -1/32 (/ (* x (sqrt -1/2)) (* (pow p 2) (pow (sqrt -1) 3)))))) (* (sqrt -1) (sqrt -1/2))) |
(+ (* x (+ (* -1/4 (/ (sqrt -1/2) (* p (sqrt -1)))) (* x (+ (* -1/32 (/ (sqrt -1/2) (* (pow p 2) (pow (sqrt -1) 3)))) (* 1/2 (/ (* x (* (sqrt -1/2) (- (* 1/16 (/ 1 (pow p 3))) (* 1/64 (/ 1 (* (pow p 3) (pow (sqrt -1) 4))))))) (sqrt -1))))))) (* (sqrt -1) (sqrt -1/2))) |
1 |
(+ 1 (* 1/2 (/ x p))) |
(+ 1 (* x (+ (* 1/4 (/ x (pow p 2))) (* 1/2 (/ 1 p))))) |
(+ 1 (* x (+ (* x (+ (* 1/16 (/ x (pow p 3))) (* 1/4 (/ 1 (pow p 2))))) (* 1/2 (/ 1 p))))) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(* 4 (pow p 2)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
-1 |
(- (* 1/2 (/ x p)) 1) |
(- (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))) 1) |
(- (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) 1) |
1 |
(+ 1 (* -1/2 (/ x p))) |
(+ 1 (* x (- (* 1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))) |
(+ 1 (* x (- (* (pow x 2) (+ (* -3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))) |
1 |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))))) |
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6)))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) |
1 |
(+ 1 (* -2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) |
(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) |
x |
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))) |
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))) |
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))) |
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1 |
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1 |
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(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
1 |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
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1 |
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(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) |
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(/ 1/2 x) |
(/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x) |
(/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x) |
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(pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (pow p 4)))))) 2) (* (pow (sqrt -1) 2) (+ (* -1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 4))) (* 1/4 (/ (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 8 (pow p 4))) (pow p 4)))))))))))))) (* (pow x 4) (sqrt -1))) (sqrt (/ 1 (+ (* -1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 4))) (* 1/4 (/ (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 8 (pow p 4))) (pow p 4)))))))) (+ (* -1/2 (* (/ (* (sqrt -1/2) (+ (* -1/8 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 4))) (+ (* -1/8 (/ (pow (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 8 (pow p 4))) 2) (pow p 6))) (+ (* 1/32 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 6))) (* 1/4 (/ (+ (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (pow p 4))))))) (* (pow x 2) (sqrt -1))) (sqrt (/ 1 (+ (* -1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 4))) (* 1/4 (/ (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 8 (pow p 4))) (pow p 4)))))))) (* (* (sqrt -1) (sqrt -1/2)) (sqrt (+ (* -1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 4))) (* 1/4 (/ (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 8 (pow p 4))) (pow p 4))))))))) |
(* 1/2 (/ (pow x 2) (pow p 2))) |
(* (pow x 2) (+ (* -1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 4) (pow x 2)))) (* 1/2 (/ 1 (pow p 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1/32 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 6))) (* 1/8 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 4)))) (pow x 4))) (* 1/2 (/ 1 (pow p 2)))) (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 4) (pow x 2)))))) |
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* -1/32 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 6))) (* 1/8 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 4))))) (pow p 2))) (+ (* -1/32 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow p 6))) (* 1/8 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow p 4))))) (pow x 6))) (* 1/2 (/ 1 (pow p 2)))) (+ (* -1/32 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 6) (pow x 4)))) (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 4) (pow x 2)))) (* 1/8 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 4) (pow x 4)))))))) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
(* -2 (/ (pow p 2) (pow x 2))) |
(/ (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2)))) (pow x 2)) |
(/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))))) (pow x 2)) |
(/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2)) |
(* 2 (/ (pow p 2) (pow x 2))) |
(/ (- (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -2 (pow p 2))) (pow x 2)) |
(/ (- (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))))) (pow x 2)) |
(/ (- (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2)) |
(* -1 (/ p x)) |
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x)) |
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x)) |
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x)) |
(/ (pow p 2) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2)) |
-1 |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1) |
(* -1 x) |
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))) |
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x)) |
(/ (pow p 2) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2)) |
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x)) |
(/ (pow p 2) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2)) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(* -1 (/ p x)) |
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x)) |
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x)) |
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x)) |
(/ (pow p 2) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2)) |
(/ -1/2 x) |
(* -1 (/ (+ 1/2 (* -1 (/ (pow p 2) (pow x 2)))) x)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) x)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) x)) |
(/ (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))) (pow x 2)) |
(/ (+ (* -1/8 (/ (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2) (pow x 2))) (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2))) (+ (* 1/2 (/ (pow p 4) (pow x 2))) (* 1/2 (pow p 2))))))) (pow x 2)) |
(/ (+ (* -1/2 (/ (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 4))) (+ (* -1/8 (/ (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (pow x 4))) (+ (* -1/8 (/ (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2) (pow x 2))) (+ (* 1/8 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4))) (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/8 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (pow x 4))) (+ (* 1/2 (/ (pow p 4) (pow x 2))) (+ (* 1/2 (pow p 2)) (/ (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4)))) (pow x 4))))))))))))) (pow x 2)) |
(/ (+ (* -1/2 (/ (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* -1/2 (/ (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))))) (pow x 6))) (+ (* -1/2 (/ (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 4))) (+ (* -1/8 (/ (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (pow x 4))) (+ (* -1/8 (/ (* (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (pow x 6))) (+ (* -1/8 (/ (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2) (pow x 2))) (+ (* 1/8 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4))) (+ (* 1/8 (/ (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow x 6))) (+ (* 1/8 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/8 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4)))) (pow x 6))) (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (pow x 4))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (* -1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))))) (pow x 6))) (+ (* 1/2 (/ (pow p 4) (pow x 2))) (+ (* 1/2 (pow p 2)) (+ (/ (* (pow p 2) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))))) (pow x 6)) (/ (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4)))) (pow x 4))))))))))))))))))))) (pow x 2)) |
(* 1/2 (/ (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))) (pow x 2))) |
(/ (+ (* 1/2 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))) (* 1/2 (/ (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4))))) (pow x 2)))) (pow x 2)) |
(/ (+ (* 1/2 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))) (+ (* 1/2 (/ (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))))))) (pow x 4))) (* 1/2 (/ (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4))))) (pow x 2))))) (pow x 2)) |
(/ (+ (* 1/2 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))) (+ (* 1/2 (/ (+ (* -1/2 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))))) (+ (* -1/8 (* (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (+ (* 1/8 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* 1/8 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (+ (* 1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))) (+ (* 1/4 (+ (* -2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (* -1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))))) (* (pow p 2) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4)))))))))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))))))) (pow x 4))) (* 1/2 (/ (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4))))) (pow x 2)))))) (pow x 2)) |
(* -1 (* (/ (* (sqrt -1) (sqrt -1/2)) x) (sqrt (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))))) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1/2) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4)))))) (* (pow x 2) (sqrt -1))) (sqrt (/ 1 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))))))) (* (* (sqrt -1) (sqrt -1/2)) (sqrt (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))))) x)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1/2) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (+ (* 1/4 (/ (pow (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4))))) 2) (* (pow (sqrt -1) 2) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))))))))) (* (pow x 4) (sqrt -1))) (sqrt (/ 1 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))))))) (+ (* -1/2 (* (/ (* (sqrt -1/2) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4)))))) (* (pow x 2) (sqrt -1))) (sqrt (/ 1 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))))))) (* (* (sqrt -1) (sqrt -1/2)) (sqrt (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))))))) x)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1/2) (+ (* -1/2 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))))) (+ (* -1/8 (* (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (+ (* 1/8 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* 1/8 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (+ (* 1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))) (+ (* 1/4 (+ (* -2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (* -1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))))) (+ (* 1/2 (/ (* (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (+ (* 1/4 (/ (pow (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4))))) 2) (* (pow (sqrt -1) 2) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4)))))))))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4)))))) (* (pow (sqrt -1) 2) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))))) (* (pow p 2) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4)))))))))))))))) (* (pow x 6) (sqrt -1))) (sqrt (/ 1 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))))))) (+ (* -1/2 (* (/ (* (sqrt -1/2) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (+ (* 1/4 (/ (pow (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4))))) 2) (* (pow (sqrt -1) 2) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))))))))) (* (pow x 4) (sqrt -1))) (sqrt (/ 1 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))))))) (+ (* -1/2 (* (/ (* (sqrt -1/2) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4)))))) (* (pow x 2) (sqrt -1))) (sqrt (/ 1 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))))))) (* (* (sqrt -1) (sqrt -1/2)) (sqrt (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))))))) x)) |
1/2 |
(+ 1/2 (* 1/2 (/ (pow p 2) (pow x 2)))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/2 (pow p 4)) (* -1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 4)))) (* -1/2 (/ (pow p 2) (pow x 2)))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* -1/2 (pow p 4)) (* -1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6)))) (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (pow p 4) (pow x 4))) (* -1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
-2 |
(- (* 2 (/ (pow p 2) (pow x 2))) 2) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 2) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2) |
2 |
(+ 2 (* -2 (/ (pow p 2) (pow x 2)))) |
(- (+ 2 (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2)))) |
(- (+ 2 (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) |
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1 |
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(+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 p p) p)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 p p) p)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal -1/32 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 p p) p)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 x p) (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) x)) x) (pow.f64 p #s(literal 4 binary64))))))))))) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* 1/4 (/ x p)) (* 1/2 (/ (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) (pow p 3))))) |
(+.f64 (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 x x) x))) (*.f64 (*.f64 p p) p))) |
(+ 1/2 (+ (* 1/4 (/ x p)) (+ (* 1/2 (/ (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) (pow p 3))) (* 1/2 (/ (+ (* -1/16 (pow x 4)) (+ (* -1/32 (pow x 4)) (+ (* 1/16 (pow x 4)) (* 1/2 (* x (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))))))) (pow p 4)))))) |
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(* (sqrt -1) (sqrt -1/2)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) |
(+ (* -1/4 (/ (* x (sqrt -1/2)) (* p (sqrt -1)))) (* (sqrt -1) (sqrt -1/2))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(- (+ 1 (* 1/4 (/ (pow x 2) (pow p 2)))) (* -1/2 (/ x p))) |
(-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 p p)) #s(literal 1 binary64)) (*.f64 (/.f64 x p) #s(literal -1/2 binary64))) |
(- (+ 1 (* -1 (/ (+ (* -1/8 (pow x 3)) (* 1/16 (pow x 3))) (pow p 3)))) (+ (* -1/2 (/ x p)) (* -1/4 (/ (pow x 2) (pow p 2))))) |
(-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 p p) p)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x x) (*.f64 p p)) (*.f64 (/.f64 x p) #s(literal -1/2 binary64)))) |
(/ p (pow x 2)) |
(/.f64 p (*.f64 x x)) |
(/ p (pow x 2)) |
(/.f64 p (*.f64 x x)) |
(/ p (pow x 2)) |
(/.f64 p (*.f64 x x)) |
(/ p (pow x 2)) |
(/.f64 p (*.f64 x x)) |
(* 4 (pow p 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 p p)) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 p p)) #s(literal 4 binary64)) (*.f64 p p)) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 p p)) #s(literal 4 binary64)) (*.f64 p p)) |
(* (pow p 2) (+ 4 (/ (pow x 2) (pow p 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 p p)) #s(literal 4 binary64)) (*.f64 p p)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ x p)) 1) |
(fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))) 1) |
(fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 p p) p)) (fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(- (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) 1) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(- (+ 1 (* 1/16 (/ (pow x 3) (pow p 3)))) (* 1/2 (/ x p))) |
(-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 p p) p)) #s(literal 1 binary64)) (*.f64 (/.f64 x p) #s(literal 1/2 binary64))) |
(- (+ 1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) |
(-.f64 (fma.f64 x (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 p #s(literal 5 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 p p) p)) (*.f64 (/.f64 x p) #s(literal 1/2 binary64)))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2))))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p))) |
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 x x)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) p))) p)) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (/ x p))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 p p)) #s(literal -1/32 binary64) (*.f64 #s(literal 1/4 binary64) x)) p)) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) x) (pow.f64 p #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 p p)) #s(literal -1/32 binary64) (*.f64 #s(literal 1/4 binary64) x))) p)) |
(* -1/2 (/ x p)) |
(*.f64 (/.f64 x p) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) |
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(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) |
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(* -2 p) |
(*.f64 #s(literal -2 binary64) p) |
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (*.f64 p p)) #s(literal 2 binary64)) (neg.f64 p)) |
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal -1/64 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 p p))) #s(literal 2 binary64)) (neg.f64 p)) |
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))) |
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(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
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(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (/ x p))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
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(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) x) (pow.f64 p #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 p p)) #s(literal -1/32 binary64) (*.f64 #s(literal 1/4 binary64) x))) p)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
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(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (/ x p))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 p p)) #s(literal -1/32 binary64) (*.f64 #s(literal 1/4 binary64) x)) p)) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) x) (pow.f64 p #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 p p)) #s(literal -1/32 binary64) (*.f64 #s(literal 1/4 binary64) x))) p)) |
(* -1 (/ (pow p 2) (pow x 2))) |
(/.f64 (*.f64 (neg.f64 p) p) (*.f64 x x)) |
(* (pow p 2) (- (/ 1 (pow p 2)) (/ 1 (pow x 2)))) |
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(* (pow p 2) (- (/ 1 (pow p 2)) (/ 1 (pow x 2)))) |
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(neg.f64 p) |
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(neg.f64 p) |
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(neg.f64 p) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
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#s(literal 1/2 binary64) |
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#s(literal 1 binary64) |
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1/2 |
#s(literal 1/2 binary64) |
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(* (sqrt -1) (sqrt -1/2)) |
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1 |
#s(literal 1 binary64) |
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#s(literal -1 binary64) |
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(sqrt 1/2) |
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1/2 |
#s(literal 1/2 binary64) |
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(* 1/2 (/ x p)) |
(*.f64 (/.f64 x p) #s(literal 1/2 binary64)) |
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(* 2 p) |
(*.f64 #s(literal 2 binary64) p) |
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(sqrt 1/2) |
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1/2 |
#s(literal 1/2 binary64) |
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(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
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(sqrt 1/2) |
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1/2 |
#s(literal 1/2 binary64) |
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(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
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(sqrt 1/2) |
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1/2 |
#s(literal 1/2 binary64) |
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(/ 1/4 p) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
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1/2 |
#s(literal 1/2 binary64) |
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(* (sqrt -1) (sqrt -1/2)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* 1/4 (/ x (pow p 2))) (* 1/2 (/ 1 p))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 p p)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) p)) x #s(literal 1 binary64)) |
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(/ p (pow x 2)) |
(/.f64 p (*.f64 x x)) |
(/ p (pow x 2)) |
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(/ p (pow x 2)) |
(/.f64 p (*.f64 x x)) |
(/ p (pow x 2)) |
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(* 4 (pow p 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 p p)) |
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(fma.f64 #s(literal 4 binary64) (*.f64 p p) (*.f64 x x)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(fma.f64 #s(literal 4 binary64) (*.f64 p p) (*.f64 x x)) |
(+ (* 4 (pow p 2)) (pow x 2)) |
(fma.f64 #s(literal 4 binary64) (*.f64 p p) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ x p)) 1) |
(fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
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(- (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) 1) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ x p))) |
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(+ 1 (* x (- (* 1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 p p) p)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/2 binary64) p)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* (pow x 2) (+ (* -3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
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(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6)))))) |
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1 |
#s(literal 1 binary64) |
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(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 p p) (*.f64 x x))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (/ (pow p 2) (pow x 2)))) |
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x |
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))) |
(fma.f64 x (/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) x) |
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))) |
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#s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 p p) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) #s(literal 36 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 1/8 binary64) (fma.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 p p) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 p p))))))))))) (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) #s(literal 36 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 1/8 binary64) (fma.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 (*.f64 p p) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 p p))))))))))))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 p p) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 p p))))) (fma.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 p p) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) #s(literal 36 binary64)) #s(literal -1/8 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 p p) #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (fma.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) #s(literal 1/8 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (fma.f64 (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 p p) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) #s(literal 36 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 1/8 binary64) (fma.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 p p) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 p p))))))))))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 p p) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 p p)))))) #s(literal -1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 p p) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 p p))))) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) #s(literal 36 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 1/8 binary64) (fma.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 x x)))) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 p p) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 p p)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))) (neg.f64 x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 1/2 binary64)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/2 (pow p 4)) (* -1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 4)))) (* -1/2 (/ (pow p 2) (pow x 2)))) |
(-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 p p)) (*.f64 x x))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* -1/2 (pow p 4)) (* -1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6)))) (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (pow p 4) (pow x 4))) (* -1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))))) |
(-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (fma.f64 (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/8 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -1/2 binary64))) (*.f64 p p) (*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/ p (pow x 2)) |
(/.f64 p (*.f64 x x)) |
(/ p (pow x 2)) |
(/.f64 p (*.f64 x x)) |
(/ p (pow x 2)) |
(/.f64 p (*.f64 x x)) |
(/ p (pow x 2)) |
(/.f64 p (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 4 (/ (pow p 2) (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) |
-2 |
#s(literal -2 binary64) |
(- (* 2 (/ (pow p 2) (pow x 2))) 2) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -2 binary64)) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 2) |
(fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -2 binary64))) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2) |
(fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x))) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64)) |
(- (+ 2 (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x))) |
(- (+ 2 (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))) |
(-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x)))) |
| 4 740× | lower-/.f32 |
| 4 730× | lower-/.f64 |
| 4 628× | lower-fma.f32 |
| 4 620× | lower-fma.f64 |
| 4 038× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 375 |
| 0 | 66 | 307 |
| 1 | 288 | 307 |
| 2 | 2178 | 278 |
| 0 | 8239 | 278 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
(sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)) |
(neg.f64 p) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(/.f64 p (*.f64 x x)) |
(fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) |
(+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) x #s(literal -1/2 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) x #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/4 binary64))))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/4 binary64))))) #s(literal 1/2 binary64))) |
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(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) (/.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) (/.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) (/.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (+.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) |
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) |
(+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) |
Compiled 87 622 to 5 870 computations (93.3% saved)
18 alts after pruning (14 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 743 | 8 | 1 751 |
| Fresh | 6 | 6 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 750 | 18 | 1 768 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 79.7% | (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | 77.6% | (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) |
| ▶ | 6.6% | (sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 50.8% | (sqrt.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)))) | |
| ▶ | 52.4% | (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
| 50.4% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))))) | |
| 52.4% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))) | |
| ▶ | 52.4% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
| 16.0% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (*.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) | |
| 49.9% | (sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) | |
| ✓ | 28.9% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))) |
| 12.9% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)))) | |
| 11.4% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) p) p) (*.f64 #s(literal -12 binary64) (*.f64 (*.f64 p p) (*.f64 p p))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 p p)) (*.f64 x x)))) | |
| ▶ | 18.8% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x))))) |
| ✓ | 53.6% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
| 49.6% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) | |
| 25.6% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) | |
| ▶ | 38.4% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
Compiled 958 to 404 computations (57.8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) | |
| cost-diff | 128 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 p (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 p (/.f64 p (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x))))) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)) | |
| cost-diff | 3008 | (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
| 6 540× | lower-fma.f32 |
| 6 534× | lower-fma.f64 |
| 3 158× | lower-*.f32 |
| 3 142× | lower-*.f64 |
| 1 572× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 655 |
| 0 | 98 | 687 |
| 1 | 172 | 687 |
| 2 | 315 | 669 |
| 3 | 708 | 669 |
| 4 | 2122 | 599 |
| 5 | 5177 | 599 |
| 6 | 7644 | 599 |
| 0 | 8046 | 590 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
#s(literal -1 binary64) |
(+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
x |
(sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) |
(*.f64 p #s(literal 4 binary64)) |
p |
#s(literal 4 binary64) |
(*.f64 x x) |
(/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) p) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x))))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x)))) |
(*.f64 p (/.f64 p (*.f64 x x))) |
p |
(/.f64 p (*.f64 x x)) |
(*.f64 x x) |
x |
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(*.f64 p p) |
p |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
#s(literal 1/2 binary64) |
(sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) p) |
#s(literal 4 binary64) |
p |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
| Outputs |
|---|
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(sqrt.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))) x #s(literal -1/2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))) x #s(literal -1/2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))) |
#s(literal 1/2 binary64) |
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(/.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))) x #s(literal -1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))))) |
#s(literal -1 binary64) |
(+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) |
x |
(sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) |
(fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 p #s(literal 4 binary64)) |
(*.f64 #s(literal 4 binary64) p) |
p |
#s(literal 4 binary64) |
(*.f64 x x) |
(/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
(/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))) x) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) |
(fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) p) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x))))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p (*.f64 x x)) p))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x)))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p (*.f64 x x)) p)) |
(*.f64 p (/.f64 p (*.f64 x x))) |
(*.f64 (/.f64 p (*.f64 x x)) p) |
p |
(/.f64 p (*.f64 x x)) |
(*.f64 x x) |
x |
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 p (*.f64 x x)) p) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 p (*.f64 x x)) p) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) |
#s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 p (*.f64 x x)) p) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 p (*.f64 x x)) p) #s(literal -1 binary64)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(*.f64 (/.f64 p (*.f64 x x)) p) |
(*.f64 p p) |
p |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
#s(literal 1/2 binary64) |
(sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(sqrt.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))) x #s(literal -1/2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))) x #s(literal -1/2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))) x #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) |
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(/.f64 (*.f64 x x) (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) |
(fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) p) |
#s(literal 4 binary64) |
p |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) |
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))))) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(sqrt.f64 (fma.f64 (*.f64 p p) #s(literal 4 binary64) (*.f64 x x))) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.254723807951137 | (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) | |
| accuracy | 8.500096286778886 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) | |
| accuracy | 14.63530602503128 | (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) | |
| accuracy | 15.76837851663261 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) | |
| accuracy | 5.36585188626102 | (sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 6.2409763046854065 | (/.f64 (*.f64 p p) (*.f64 x x)) | |
| accuracy | 7.522607369904728 | (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 47.88070936590358 | #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) | |
| accuracy | 0.12109375 | (*.f64 p (/.f64 p (*.f64 x x))) | |
| accuracy | 0.1953125 | (/.f64 p (*.f64 x x)) | |
| accuracy | 5.36585188626102 | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x))))) | |
| accuracy | 46.96840349816959 | #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x)))) | |
| accuracy | 39.3985358230606 | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) | |
| accuracy | 8.254723807951137 | (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) | |
| accuracy | 14.63530602503128 | (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) | |
| accuracy | 14.63530602503128 | (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) | |
| accuracy | 24.498133012507097 | (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
| 69.0ms | 62× | 2 | valid |
| 41.0ms | 128× | 0 | valid |
| 26.0ms | 44× | 1 | valid |
| 26.0ms | 22× | 3 | valid |
Compiled 649 to 48 computations (92.6% saved)
ival-mult: 30.0ms (24.5% of total)ival-div: 27.0ms (22.1% of total)ival-add: 23.0ms (18.8% of total)ival-sqrt: 19.0ms (15.5% of total)adjust: 14.0ms (11.4% of total)ival-sub: 8.0ms (6.5% of total)exact: 1.0ms (0.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (patch (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (patch (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) (patch #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x))))) (patch (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x)))) (patch #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 p (/.f64 p (*.f64 x x))) (patch (*.f64 p (/.f64 p (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 p (*.f64 x x)) (patch (/.f64 p (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) (patch #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) (patch (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (patch (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (patch (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (patch (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 p p) (*.f64 x x)) (patch (/.f64 (*.f64 p p) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))) (pow p 2))) (taylor 0 p) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (patch (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* 2 (pow p 2)) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow p 2)) (taylor 0 p) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (patch (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow p 2) (+ 2 (* -2 (/ (pow p 2) (pow x 2))))) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow p 2)) (taylor 0 p) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (patch (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* (pow p 2) (+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow p 2)) (taylor 0 p) (#s(alt (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (patch (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 p) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 (/ (pow p 2) (pow x 2)))) (taylor 0 p) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) (taylor 0 p) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) (taylor 0 p) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (/ (sqrt -1/2) p) (sqrt (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (taylor 0 p) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* (* (pow p 2) (sqrt -1/2)) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (* (sqrt -1/2) (sqrt (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))))) p) (taylor 0 p) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (sqrt -1/2) (sqrt (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (* (pow p 2) (+ (* -1 (* (sqrt -1/2) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (* (* (pow p 2) (* (sqrt -1/2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))))))))) p) (taylor 0 p) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* (sqrt -1/2) (sqrt (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (* (pow p 2) (+ (* -1 (* (sqrt -1/2) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (* (pow p 2) (+ (* -1/2 (* (* (pow p 2) (* (sqrt -1/2) (+ (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (* 6 (/ 1 (pow x 4)))))) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (* (* (sqrt -1/2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))))) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))))))))))) p) (taylor 0 p) (#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))) (pow p 2))) (taylor 0 p) (#s(alt (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (patch (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | x | @ | -inf | ((- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x))) (+ (* (* p 4) p) (* x x))))) (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (sqrt (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x))) (+ (* (* p 4) p) (* x x))))))) (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x))) (+ (* (* p 4) p) (* x x)))))) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (* p (/ p (* x x))) (/ p (* x x)) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (+ (* (/ (* p p) (* x x)) 2) -1) (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (sqrt (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt (+ (* (* p 4) p) (* x x))) (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (/ (* p p) (* x x)) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) |
| 9.0ms | x | @ | inf | ((- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x))) (+ (* (* p 4) p) (* x x))))) (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (sqrt (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x))) (+ (* (* p 4) p) (* x x))))))) (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x))) (+ (* (* p 4) p) (* x x)))))) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (* p (/ p (* x x))) (/ p (* x x)) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (+ (* (/ (* p p) (* x x)) 2) -1) (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (sqrt (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt (+ (* (* p 4) p) (* x x))) (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (/ (* p p) (* x x)) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) |
| 3.0ms | p | @ | 0 | ((- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x))) (+ (* (* p 4) p) (* x x))))) (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (sqrt (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x))) (+ (* (* p 4) p) (* x x))))))) (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x))) (+ (* (* p 4) p) (* x x)))))) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (* p (/ p (* x x))) (/ p (* x x)) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (+ (* (/ (* p p) (* x x)) 2) -1) (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (sqrt (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt (+ (* (* p 4) p) (* x x))) (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (/ (* p p) (* x x)) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) |
| 3.0ms | p | @ | inf | ((- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x))) (+ (* (* p 4) p) (* x x))))) (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (sqrt (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x))) (+ (* (* p 4) p) (* x x))))))) (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x))) (+ (* (* p 4) p) (* x x)))))) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (* p (/ p (* x x))) (/ p (* x x)) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (+ (* (/ (* p p) (* x x)) 2) -1) (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (sqrt (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt (+ (* (* p 4) p) (* x x))) (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (/ (* p p) (* x x)) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) |
| 2.0ms | x | @ | 0 | ((- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x))) (+ (* (* p 4) p) (* x x))))) (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x)) (sqrt (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x))) (+ (* (* p 4) p) (* x x))))))) (* 1/2 (- (/ -1 (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x)))))) (/ (* x x) (* (- 1 (/ 1 (/ (sqrt (+ (* (* 4 p) p) (* x x))) x))) (+ (* (* p 4) p) (* x x)))))) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (* p (/ p (* x x))) (/ p (* x x)) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (+ (* (/ (* p p) (* x x)) 2) -1) (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (sqrt (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) (sqrt (+ (* (* 4 p) p) (* x x))) (sqrt (+ (* (* p 4) p) (* x x))) (+ -1 (/ x (sqrt (+ (* (* p 4) p) (* x x))))) (/ (* p p) (* x x)) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) |
| 1× | egg-herbie |
| 7 420× | lower-*.f64 |
| 7 420× | lower-*.f32 |
| 7 232× | lower-fma.f64 |
| 7 232× | lower-fma.f32 |
| 5 028× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1532 | 21715 |
| 1 | 5036 | 21411 |
| 0 | 8751 | 19978 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))) (pow p 2))) |
(/ (- (* 2 (pow p 2)) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow p 2)) |
(/ (- (* (pow p 2) (+ 2 (* -2 (/ (pow p 2) (pow x 2))))) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow p 2)) |
(/ (- (* (pow p 2) (+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow p 2)) |
1 |
(+ 1 (* -2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(* (/ (sqrt -1/2) p) (sqrt (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) |
(/ (+ (* -1 (* (* (pow p 2) (sqrt -1/2)) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (* (sqrt -1/2) (sqrt (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))))) p) |
(/ (+ (* (sqrt -1/2) (sqrt (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (* (pow p 2) (+ (* -1 (* (sqrt -1/2) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (* (* (pow p 2) (* (sqrt -1/2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))))))))) p) |
(/ (+ (* (sqrt -1/2) (sqrt (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (* (pow p 2) (+ (* -1 (* (sqrt -1/2) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (* (pow p 2) (+ (* -1/2 (* (* (pow p 2) (* (sqrt -1/2) (+ (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (* 6 (/ 1 (pow x 4)))))) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (* (* (sqrt -1/2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))))) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))))))))))) p) |
(* -1/2 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))) (pow p 2))) |
(/ (+ (* -1/2 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow p 2)) (pow p 2)) |
(/ (+ (* -1/2 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (* (pow p 2) (+ 1 (* -1 (/ (pow p 2) (pow x 2)))))) (pow p 2)) |
(/ (+ (* -1/2 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (* (pow p 2) (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))))) (pow p 2)) |
1 |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
1 |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
-1 |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(* 2 (/ (pow p 2) (pow x 2))) |
(* (pow p 2) (+ (* -8 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(* (pow p 2) (+ (* (pow p 2) (- (* 32 (/ (pow p 2) (pow x 6))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))) |
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -128 (/ (pow p 2) (pow x 8))) (* 32 (/ 1 (pow x 6))))) (* 8 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) |
(* 4 (/ (pow p 2) (pow x 2))) |
(* (pow p 2) (+ (* -16 (/ (pow p 2) (pow x 4))) (* 4 (/ 1 (pow x 2))))) |
(* (pow p 2) (+ (* (pow p 2) (- (* 64 (/ (pow p 2) (pow x 6))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))) |
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -256 (/ (pow p 2) (pow x 8))) (* 64 (/ 1 (pow x 6))))) (* 16 (/ 1 (pow x 4))))) (* 4 (/ 1 (pow x 2))))) |
x |
(+ x (* 2 (/ (pow p 2) x))) |
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))) |
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))) |
x |
(+ x (* 2 (/ (pow p 2) x))) |
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))) |
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))) |
(* -2 (/ (pow p 2) (pow x 2))) |
(* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))) |
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(* 2 (/ (pow p 2) (pow x 2))) |
(* (pow p 2) (+ (* -6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(* (pow p 2) (+ (* (pow p 2) (- (* 20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))) |
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* 1/2 (/ x p))) |
(+ 1 (+ (* -1/8 (/ (pow x 3) (pow p 3))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (+ (* 1/8 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))))) |
(+ 1 (+ (* -1/8 (/ (pow x 3) (pow p 3))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (+ (* -1/16 (/ (pow x 4) (pow p 4))) (+ (* -1/32 (/ (pow x 4) (pow p 4))) (+ (* 1/16 (/ (pow x 4) (pow p 4))) (+ (* 1/8 (/ (pow x 3) (pow p 3))) (+ (* 1/2 (/ x p)) (* 1/2 (/ (* x (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) (pow p 4))))))))))) |
(* 1/2 (/ x p)) |
(/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p) |
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p) |
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p) |
(* (sqrt -1) (sqrt -1/2)) |
(+ (* -1/4 (/ (* x (sqrt -1/2)) (* p (sqrt -1)))) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1/4 (/ (* x (sqrt -1/2)) (* p (sqrt -1)))) (+ (* -1/32 (/ (* (pow x 2) (sqrt -1/2)) (* (pow p 2) (pow (sqrt -1) 3)))) (* (sqrt -1) (sqrt -1/2)))) |
(+ (* -1/2 (/ (* (sqrt -1/2) (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (+ (* 1/64 (/ (pow x 3) (pow (sqrt -1) 4))) (* 1/8 (pow x 3)))))) (* (pow p 3) (sqrt -1)))) (+ (* -1/4 (/ (* x (sqrt -1/2)) (* p (sqrt -1)))) (+ (* -1/32 (/ (* (pow x 2) (sqrt -1/2)) (* (pow p 2) (pow (sqrt -1) 3)))) (* (sqrt -1) (sqrt -1/2))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (+ (* 1/4 (/ x p)) (* 1/2 (/ (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) (pow p 3))))) |
(+ 1/2 (+ (* 1/4 (/ x p)) (+ (* 1/2 (/ (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) (pow p 3))) (* 1/2 (/ (+ (* -1/16 (pow x 4)) (+ (* -1/32 (pow x 4)) (+ (* 1/16 (pow x 4)) (* 1/2 (* x (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))))))) (pow p 4)))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2)))))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))) |
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3)))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2)))))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))) |
(* 1/2 (/ x p)) |
(/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p) |
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p) |
(/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p) |
(* 2 (/ (pow p 2) (pow x 2))) |
(* (pow p 2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))) |
(* (pow p 2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))) |
(* (pow p 2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))) |
1/2 |
(+ 1/2 (* -1/8 (/ (pow x 2) (pow p 2)))) |
(+ 1/2 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (* 1/32 (/ (pow x 4) (pow p 4))))) |
(+ 1/2 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (+ (* -1/128 (/ (pow x 6) (pow p 6))) (* 1/32 (/ (pow x 4) (pow p 4)))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))) |
(+ (sqrt 1/2) (+ (* -1/2 (/ (* (sqrt 1/2) (+ (* -1/64 (pow x 3)) (* 1/16 (pow x 3)))) (pow p 3))) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))) |
1 |
(+ 1 (* -1/4 (/ (pow x 2) (pow p 2)))) |
(- (+ 1 (* 1/16 (/ (pow x 4) (pow p 4)))) (* 1/4 (/ (pow x 2) (pow p 2)))) |
(- (+ 1 (+ (* -1/64 (/ (pow x 6) (pow p 6))) (* 1/16 (/ (pow x 4) (pow p 4))))) (* 1/4 (/ (pow x 2) (pow p 2)))) |
(* 2 p) |
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))) |
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))) |
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
(* 2 p) |
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))) |
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))) |
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
-1 |
(- (* 1/2 (/ x p)) 1) |
(- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))) 1) |
(- (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) 1) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
1 |
(+ 1 (* -1/2 (/ x p))) |
(- (+ 1 (* 1/16 (/ (pow x 3) (pow p 3)))) (* 1/2 (/ x p))) |
(- (+ 1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) |
1 |
(+ 1 (* -1/2 (/ x p))) |
(+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 3) (pow p 2))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (+ (* 1/8 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (pow x 4)) (+ (* -1/32 (pow x 4)) (+ (* 1/16 (pow x 4)) (* 1/2 (* x (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))))))) (pow p 3))) (+ (* -1/8 (/ (pow x 3) (pow p 2))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (+ (* 1/8 (/ (pow x 3) (pow p 2))) (* 1/2 x))))) p))) |
(* -1/2 (/ x p)) |
(* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) |
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) |
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p)) |
(* (sqrt -1) (sqrt -1/2)) |
(+ (* 1/4 (/ (* x (sqrt -1/2)) (* p (sqrt -1)))) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1 (/ (+ (* -1/4 (/ (* x (sqrt -1/2)) (sqrt -1))) (* 1/32 (/ (* (pow x 2) (sqrt -1/2)) (* p (pow (sqrt -1) 3))))) p)) (* (sqrt -1) (sqrt -1/2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (/ (* (pow x 2) (sqrt -1/2)) (pow (sqrt -1) 3))) (* 1/2 (/ (* (sqrt -1/2) (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (+ (* 1/64 (/ (pow x 3) (pow (sqrt -1) 4))) (* 1/8 (pow x 3)))))) (* p (sqrt -1))))) p)) (* -1/4 (/ (* x (sqrt -1/2)) (sqrt -1)))) p)) (* (sqrt -1) (sqrt -1/2))) |
1/2 |
(+ 1/2 (* -1/4 (/ x p))) |
(+ 1/2 (* -1 (/ (+ (* 1/4 x) (* 1/2 (/ (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) (pow p 2)))) p))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/16 (pow x 4)) (+ (* -1/32 (pow x 4)) (+ (* 1/16 (pow x 4)) (* 1/2 (* x (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))))))) (pow p 3))) (+ (* 1/4 x) (* 1/2 (/ (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) (pow p 2))))) p))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
1/2 |
(+ 1/2 (* -1/4 (/ x p))) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p))) |
1/2 |
(+ 1/2 (* -1/4 (/ x p))) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
(* -1/2 (/ x p)) |
(* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) |
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) |
(* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1 (/ (* x (+ (* 1/256 (pow x 6)) (* 1/8 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4))))))) (pow p 6))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)))) p)) |
(* 2 (/ (pow p 2) (pow x 2))) |
(* (pow p 2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))) |
(* (pow p 2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))) |
(* (pow p 2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))) |
1/2 |
(+ 1/2 (* -1/8 (/ (pow x 2) (pow p 2)))) |
(+ 1/2 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (* 1/32 (/ (pow x 4) (pow p 4))))) |
(+ 1/2 (+ (* -1/8 (/ (pow x 2) (pow p 2))) (+ (* -1/128 (/ (pow x 6) (pow p 6))) (* 1/32 (/ (pow x 4) (pow p 4)))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/32 (* (pow x 2) (sqrt 1/2))) (* 1/2 (/ (* (sqrt 1/2) (+ (* -1/64 (pow x 3)) (* 1/16 (pow x 3)))) p))) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
1/2 |
(+ 1/2 (* -1/4 (/ x p))) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
1 |
(+ 1 (* -1/4 (/ (pow x 2) (pow p 2)))) |
(- (+ 1 (* 1/16 (/ (pow x 4) (pow p 4)))) (* 1/4 (/ (pow x 2) (pow p 2)))) |
(- (+ 1 (+ (* -1/64 (/ (pow x 6) (pow p 6))) (* 1/16 (/ (pow x 4) (pow p 4))))) (* 1/4 (/ (pow x 2) (pow p 2)))) |
(* -2 p) |
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))) |
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))) |
(* -2 p) |
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))) |
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))) |
-1 |
(- (* -1/2 (/ x p)) 1) |
(- (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) 1) |
(- (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) 1) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
1 |
(+ 1 (* 1/2 (/ x p))) |
(+ 1 (* -1 (/ (- (* 1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))) |
(+ 1 (* -1 (/ (- (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4)) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))) |
1 |
(+ 1 (* 1/2 (/ x p))) |
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))) |
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))) |
(* 1/2 (/ x p)) |
(* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))) |
(* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) |
(* (sqrt -1) (sqrt -1/2)) |
(+ (* -1/4 (/ (* x (sqrt -1/2)) (* p (sqrt -1)))) (* (sqrt -1) (sqrt -1/2))) |
(+ (* x (+ (* -1/4 (/ (sqrt -1/2) (* p (sqrt -1)))) (* -1/32 (/ (* x (sqrt -1/2)) (* (pow p 2) (pow (sqrt -1) 3)))))) (* (sqrt -1) (sqrt -1/2))) |
(+ (* x (+ (* -1/4 (/ (sqrt -1/2) (* p (sqrt -1)))) (* x (+ (* -1/32 (/ (sqrt -1/2) (* (pow p 2) (pow (sqrt -1) 3)))) (* 1/2 (/ (* x (* (sqrt -1/2) (- (* 1/16 (/ 1 (pow p 3))) (* 1/64 (/ 1 (* (pow p 3) (pow (sqrt -1) 4))))))) (sqrt -1))))))) (* (sqrt -1) (sqrt -1/2))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p))))) |
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3)))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(* 1/2 (/ x p)) |
(* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))) |
(* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) |
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -5/2048 (/ (pow x 2) (pow p 7))) (* 3/256 (/ 1 (pow p 5))))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) |
(* 2 (/ (pow p 2) (pow x 2))) |
(/ (+ (* -1 (pow x 2)) (* 2 (pow p 2))) (pow x 2)) |
(/ (+ (* -1 (pow x 2)) (* 2 (pow p 2))) (pow x 2)) |
(/ (+ (* -1 (pow x 2)) (* 2 (pow p 2))) (pow x 2)) |
1/2 |
(+ 1/2 (* -1/8 (/ (pow x 2) (pow p 2)))) |
(+ 1/2 (* (pow x 2) (- (* 1/32 (/ (pow x 2) (pow p 4))) (* 1/8 (/ 1 (pow p 2)))))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ (* -1/128 (/ (pow x 2) (pow p 6))) (* 1/32 (/ 1 (pow p 4))))) (* 1/8 (/ 1 (pow p 2)))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p))))) |
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3)))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
1 |
(+ 1 (* -1/4 (/ (pow x 2) (pow p 2)))) |
(+ 1 (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow p 4))) (* 1/4 (/ 1 (pow p 2)))))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 6))) (* 1/16 (/ 1 (pow p 4))))) (* 1/4 (/ 1 (pow p 2)))))) |
(* 2 p) |
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p)) |
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(* 2 p) |
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p)) |
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
-1 |
(- (* 1/2 (/ x p)) 1) |
(- (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))) 1) |
(- (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) 1) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
1 |
(+ 1 (* -1/2 (/ x p))) |
(+ 1 (* x (- (* 1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))) |
(+ 1 (* x (- (* (pow x 2) (+ (* -3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))) |
(+ (* -1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 4))) (* 1/4 (/ (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 8 (pow p 4))) (pow p 4)))) |
(+ (* -1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 4))) (+ (* -1/8 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 4) (pow x 2)))) (+ (* -1/8 (/ (pow (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 8 (pow p 4))) 2) (* (pow p 6) (pow x 2)))) (+ (* 1/32 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 6) (pow x 2)))) (+ (* 1/4 (/ (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 8 (pow p 4))) (pow p 4))) (* 1/4 (/ (+ (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* (pow p 4) (pow x 2))))))))) |
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1 |
(+ 1 (* -2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) |
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2 (* (pow p 2) (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))))) (pow p 4)))))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -1/2 (/ (* (+ (* -1/8 (/ (pow (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 8 (pow p 4))) 2) (pow p 6))) (* 1/4 (/ (+ (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (pow p 4)))) (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 8 (pow p 4)))) (pow p 2))) (+ (* -1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* -1/8 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 4))) (* 1/32 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 6))))) (pow p 2))) (+ (* -1/8 (/ (* (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 8 (pow p 4))) (+ (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 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(* 1/32 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 6))) (* 1/4 (/ (+ (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (pow p 4)))))) (pow x 2)))))) |
1 |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))))) |
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6)))))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
1 |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))))) |
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6)))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) |
1 |
(+ 1 (* -2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) |
(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) |
-1 |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(* 2 (/ (pow p 2) (pow x 2))) |
(/ (+ (* -8 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) (pow x 2)) |
(/ (+ (* -8 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 32 (/ (pow p 6) (pow x 4))))) (pow x 2)) |
(/ (+ (* -128 (/ (pow p 8) (pow x 6))) (+ (* -8 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 32 (/ (pow p 6) (pow x 4)))))) (pow x 2)) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/4 (/ (pow (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) 2) (pow (sqrt 2) 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))))))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* 1/2 (/ (* (sqrt 1/2) (- (* -128 (pow p 6)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))))) (pow p 2))) (+ (* 1/4 (/ (* (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/2 (/ (* (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/4 (/ (pow (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) 2) (pow (sqrt 2) 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))))))) (pow (sqrt 2) 2))) (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow p 2)))))))) (* (pow x 6) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (+ (* 1/4 (/ (pow (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) 2) (pow (sqrt 2) 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))))))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) (pow x 2)))) |
(+ 1 (+ (* 1/2 (/ (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) (pow x 2))) (* 1/2 (/ (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))))) (pow x 4))))) |
(+ 1 (+ (* 1/2 (/ (- (* -128 (pow p 6)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2)))))) (pow p 2))) (+ (* 1/4 (/ (* (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow p 2)))))) (pow x 6))) (+ (* 1/2 (/ (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2)))) (pow x 2))) (* 1/2 (/ (- (* 32 (pow p 4)) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 2)) (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 2))))) (pow p 2))) (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 2))))) (pow x 4)))))) |
(* 4 (/ (pow p 2) (pow x 2))) |
(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2)) |
(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4))))) (pow x 2)) |
(/ (+ (* -256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2)) |
x |
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))) |
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))) |
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))) |
x |
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))) |
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))) |
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))) |
(* -2 (/ (pow p 2) (pow x 2))) |
(/ (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2)))) (pow x 2)) |
(/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))))) (pow x 2)) |
(/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(* 2 (/ (pow p 2) (pow x 2))) |
(/ (- (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -2 (pow p 2))) (pow x 2)) |
(/ (- (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))))) (pow x 2)) |
(/ (- (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2)) |
(/ (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))) (pow x 2)) |
(/ (+ (* -1/8 (/ (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2) (pow x 2))) (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2))) (+ (* 1/2 (/ (pow p 4) (pow x 2))) (* 1/2 (pow p 2))))))) (pow x 2)) |
(/ (+ (* -1/2 (/ (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 4))) (+ (* -1/8 (/ (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (pow x 4))) (+ (* -1/8 (/ (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2) (pow x 2))) (+ (* 1/8 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4))) (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/8 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (pow x 4))) (+ (* 1/2 (/ (pow p 4) (pow x 2))) (+ (* 1/2 (pow p 2)) (/ (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4)))) (pow x 4))))))))))))) (pow x 2)) |
(/ (+ (* -1/2 (/ (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* -1/2 (/ (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))))) (pow x 6))) (+ (* -1/2 (/ (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 4))) (+ (* -1/8 (/ (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (pow x 4))) (+ (* -1/8 (/ (* (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (pow x 6))) (+ (* -1/8 (/ (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2) (pow x 2))) (+ (* 1/8 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4))) (+ (* 1/8 (/ (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow x 6))) (+ (* 1/8 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/8 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4)))) (pow x 6))) (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (pow x 4))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (* -1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))))) (pow x 6))) (+ (* 1/2 (/ (pow p 4) (pow x 2))) (+ (* 1/2 (pow p 2)) (+ (/ (* (pow p 2) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))))) (pow x 6)) (/ (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4)))) (pow x 4))))))))))))))))))))) (pow x 2)) |
-1 |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1) |
(* -1 (* (/ (* (sqrt -1) (sqrt -1/2)) x) (sqrt (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))))) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1/2) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4)))))) (* (pow x 2) (sqrt -1))) (sqrt (/ 1 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))))))) (* (* (sqrt -1) (sqrt -1/2)) (sqrt (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))))) x)) |
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(* 1/2 (/ (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))) (pow x 2))) |
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(* -1 (/ p x)) |
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x)) |
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x)) |
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x)) |
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x)) |
(/ (pow p 2) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(/ p (pow x 2)) |
(* -1 (/ p x)) |
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x)) |
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x)) |
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x)) |
(/ (pow p 2) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2)) |
-1 |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 1) |
-1 |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(* 2 (/ (pow p 2) (pow x 2))) |
(/ (+ (* -8 (/ (pow p 4) (pow x 2))) (* 2 (pow p 2))) (pow x 2)) |
(/ (+ (* -8 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 32 (/ (pow p 6) (pow x 4))))) (pow x 2)) |
(/ (+ (* -128 (/ (pow p 8) (pow x 6))) (+ (* -8 (/ (pow p 4) (pow x 2))) (+ (* 2 (pow p 2)) (* 32 (/ (pow p 6) (pow x 4)))))) (pow x 2)) |
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) |
(* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x)) |
(* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x)) |
(* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -128 (pow p 8)) (+ (* -1 (* (pow p 2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* 1/2 (/ (* (- (* -8 (pow p 4)) (* -2 (pow p 4))) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* (pow p 2) (pow (sqrt 2) 2))))))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x)) |
(/ (pow p 2) (pow x 2)) |
(/ (+ (* 1/2 (/ (- (* -8 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) |
(/ (+ (* 1/2 (/ (- (* -8 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 4))) (pow p 2))) (pow x 2)) |
(/ (+ (* 1/2 (/ (- (* -128 (pow p 8)) (+ (* -1 (* (pow p 2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (* -1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 4)) (* -2 (pow p 4)))))))) (pow x 6))) (+ (* 1/2 (/ (- (* -8 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 4))) (pow p 2)))) (pow x 2)) |
(* 4 (/ (pow p 2) (pow x 2))) |
(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2)) |
(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4))))) (pow x 2)) |
(/ (+ (* -256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2)) |
(* -1 x) |
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))) |
-2 |
(- (* 2 (/ (pow p 2) (pow x 2))) 2) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 2) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
2 |
(+ 2 (* -2 (/ (pow p 2) (pow x 2)))) |
(- (+ 2 (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2)))) |
(- (+ 2 (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))) |
| Outputs |
|---|
(* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))) (pow p 2))) |
(/.f64 #s(literal 0 binary64) (*.f64 p p)) |
(/ (- (* 2 (pow p 2)) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow p 2)) |
(/.f64 (fma.f64 (*.f64 p p) #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 p p)) |
(/ (- (* (pow p 2) (+ 2 (* -2 (/ (pow p 2) (pow x 2))))) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow p 2)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 p p) #s(literal 0 binary64)) (*.f64 p p)) |
(/ (- (* (pow p 2) (+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))))) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow p 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 p p) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 2 binary64)) (*.f64 p p) #s(literal 0 binary64)) (*.f64 p p)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 p p) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 p p) (pow.f64 x #s(literal 6 binary64))) #s(literal -20 binary64) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 p p) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(* (/ (sqrt -1/2) p) (sqrt (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) |
(*.f64 (sqrt.f64 #s(literal 0 binary64)) (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) p)) |
(/ (+ (* -1 (* (* (pow p 2) (sqrt -1/2)) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (* (sqrt -1/2) (sqrt (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))))) p) |
(/.f64 (fma.f64 (neg.f64 (*.f64 p p)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) p) |
(/ (+ (* (sqrt -1/2) (sqrt (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (* (pow p 2) (+ (* -1 (* (sqrt -1/2) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (* (* (pow p 2) (* (sqrt -1/2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))))))))) p) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 p p)) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))) #s(literal 1/2 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))))) (*.f64 p p) (*.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) p) |
(/ (+ (* (sqrt -1/2) (sqrt (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (* (pow p 2) (+ (* -1 (* (sqrt -1/2) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (* (pow p 2) (+ (* -1/2 (* (* (pow p 2) (* (sqrt -1/2) (+ (* -1 (/ (- (* 2 (/ 1 (pow x 2))) (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))) (* 6 (/ 1 (pow x 4)))))) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (* (* (sqrt -1/2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))))) (sqrt (/ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))))))))))) p) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 p p))) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))))) (*.f64 p p) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64))))) (*.f64 p p) (*.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))) p) |
(* -1/2 (/ (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2))) (pow p 2))) |
(/.f64 #s(literal 0 binary64) (*.f64 p p)) |
(/ (+ (* -1/2 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (pow p 2)) (pow p 2)) |
(/.f64 (fma.f64 p p #s(literal 0 binary64)) (*.f64 p p)) |
(/ (+ (* -1/2 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (* (pow p 2) (+ 1 (* -1 (/ (pow p 2) (pow x 2)))))) (pow p 2)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 p p) (*.f64 x x))) (*.f64 p p) #s(literal 0 binary64)) (*.f64 p p)) |
(/ (+ (* -1/2 (+ (* -1/2 (pow x 2)) (* 1/2 (pow x 2)))) (* (pow p 2) (+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))))) (pow p 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) (*.f64 p p) #s(literal 0 binary64)) (*.f64 p p)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 11/8 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -69/16 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 p p) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(* (sqrt 1/2) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(fma.f64 (neg.f64 (*.f64 p p)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 p p)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 p p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 #s(literal 20 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 p p)) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 p p) (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)))) (*.f64 p p) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 p p) (*.f64 x x))) |
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 p p) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ p (pow x 2)) |
(/.f64 p (*.f64 x x)) |
(/ p (pow x 2)) |
(/.f64 p (*.f64 x x)) |
(/ p (pow x 2)) |
(/.f64 p (*.f64 x x)) |
(/ p (pow x 2)) |
(/.f64 p (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal 11/8 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -69/16 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 p p) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 p p) (*.f64 x x))) |
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 p p) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 p p) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 p p) (pow.f64 x #s(literal 6 binary64))) #s(literal -20 binary64) (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 p p) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64)) |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64)) |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64)) |
(* 2 (/ (pow p 2) (pow x 2))) |
(/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x)) |
(* (pow p 2) (+ (* -8 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
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(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 (/ x p))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
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(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ p (pow x 2)) |
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(/ p (pow x 2)) |
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(/ p (pow x 2)) |
(/.f64 p (*.f64 x x)) |
(/ p (pow x 2)) |
(/.f64 p (*.f64 x x)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 (/ x p))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
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(* 1/2 (/ x p)) |
(*.f64 (/.f64 x p) #s(literal 1/2 binary64)) |
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(* 2 (/ (pow p 2) (pow x 2))) |
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(* (pow p 2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))) |
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(* (pow p 2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 p p))) (*.f64 p p)) |
(* (pow p 2) (- (* 2 (/ 1 (pow x 2))) (/ 1 (pow p 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 p p))) (*.f64 p p)) |
1/2 |
#s(literal 1/2 binary64) |
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(sqrt 1/2) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 (/ x p))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (/ (pow x 2) (pow p 2)))) |
(fma.f64 (/.f64 (*.f64 x x) (*.f64 p p)) #s(literal -1/4 binary64) #s(literal 1 binary64)) |
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(- (+ 1 (+ (* -1/64 (/ (pow x 6) (pow p 6))) (* 1/16 (/ (pow x 4) (pow p 4))))) (* 1/4 (/ (pow x 2) (pow p 2)))) |
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(* 2 p) |
(*.f64 p #s(literal 2 binary64)) |
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 p p)) #s(literal 1/4 binary64) #s(literal 2 binary64)) p) |
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))) |
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(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
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(* 2 p) |
(*.f64 p #s(literal 2 binary64)) |
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 p p)) #s(literal 1/4 binary64) #s(literal 2 binary64)) p) |
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))) |
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(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
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-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ x p)) 1) |
(fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))) 1) |
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(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(- (+ 1 (* 1/16 (/ (pow x 3) (pow p 3)))) (* 1/2 (/ x p))) |
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1 |
#s(literal 1 binary64) |
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(fma.f64 (/.f64 x p) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
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(* -1/2 (/ x p)) |
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1/2 |
#s(literal 1/2 binary64) |
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(fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) |
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(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
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(sqrt 1/2) |
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1/2 |
#s(literal 1/2 binary64) |
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(/ p (pow x 2)) |
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(sqrt 1/2) |
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1/2 |
#s(literal 1/2 binary64) |
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1/2 |
#s(literal 1/2 binary64) |
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(sqrt 1/2) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (/ x p))) |
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1 |
#s(literal 1 binary64) |
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(* -2 p) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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1/2 |
#s(literal 1/2 binary64) |
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1/2 |
#s(literal 1/2 binary64) |
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(sqrt 1/2) |
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(* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x)) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 (*.f64 p (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64)) (fma.f64 (neg.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 p p) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 2 binary64)) (*.f64 p p)))))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) p) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 x)) |
(* -1 (/ (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -128 (pow p 8)) (+ (* -1 (* (pow p 2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* 1/2 (/ (* (- (* -8 (pow p 4)) (* -2 (pow p 4))) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* (pow p 2) (pow (sqrt 2) 2))))))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -8 (pow p 4)) (* -2 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (+ (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 1/4 (/ (pow (- (* -8 (pow p 4)) (* -2 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x)) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (*.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -128 binary64)) (fma.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64)) (fma.f64 (neg.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 p p) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)))))) (*.f64 p p) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 p p)) (fma.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p p)) #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (fma.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) #s(literal -1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64)) (fma.f64 (neg.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 p p) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 2 binary64)) (*.f64 p p)))))) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 p p))))))) (*.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) p) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 (*.f64 p (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64)) (fma.f64 (neg.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 p p) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) #s(literal 2 binary64)) (*.f64 p p)))))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) p) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64)))))) (neg.f64 x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (+ (* 1/2 (/ (- (* -8 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 x x)) #s(literal 1/2 binary64) (*.f64 p p)) (*.f64 x x)) |
(/ (+ (* 1/2 (/ (- (* -8 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 4))) (pow p 2))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64)) (fma.f64 (neg.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 p p) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 p p))) (*.f64 x x)) |
(/ (+ (* 1/2 (/ (- (* -128 (pow p 8)) (+ (* -1 (* (pow p 2) (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (* -1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* -8 (pow p 4)) (* -2 (pow p 4)))))))) (pow x 6))) (+ (* 1/2 (/ (- (* -8 (pow p 4)) (* -2 (pow p 4))) (pow x 2))) (+ (* 1/2 (/ (- (* 32 (pow p 6)) (+ (* -1 (* (pow p 2) (- (* -8 (pow p 4)) (* -2 (pow p 4))))) (* -1/2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))) (pow x 4))) (pow p 2)))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -128 binary64)) (fma.f64 (neg.f64 (*.f64 p p)) (-.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64)) (fma.f64 (neg.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 p p) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 p p)) (fma.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p p)) #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/4 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64)) (*.f64 x x)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 32 binary64)) (fma.f64 (neg.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -6 binary64))) (*.f64 p p) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))))) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (*.f64 p p)))) (*.f64 x x)) |
(* 4 (/ (pow p 2) (pow x 2))) |
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 p p)) (*.f64 x x)) |
(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (* 4 (pow p 2))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 x x)) #s(literal -16 binary64) (*.f64 #s(literal 4 binary64) (*.f64 p p))) (*.f64 x x)) |
(/ (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 x x)) #s(literal -16 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 64 binary64) (*.f64 #s(literal 4 binary64) (*.f64 p p)))) (*.f64 x x)) |
(/ (+ (* -256 (/ (pow p 8) (pow x 6))) (+ (* -16 (/ (pow p 4) (pow x 2))) (+ (* 4 (pow p 2)) (* 64 (/ (pow p 6) (pow x 4)))))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -256 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (*.f64 x x)) #s(literal -16 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 64 binary64) (*.f64 #s(literal 4 binary64) (*.f64 p p))))) (*.f64 x x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))) |
(neg.f64 (fma.f64 x (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x))) x)) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))) |
(neg.f64 (fma.f64 x (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x)))) x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))) |
(neg.f64 (fma.f64 x (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x))) x)) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))) |
(neg.f64 (fma.f64 x (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x)))) x)) |
-2 |
#s(literal -2 binary64) |
(- (* 2 (/ (pow p 2) (pow x 2))) 2) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -2 binary64)) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 2) |
(fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -2 binary64))) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2) |
(fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p p)) #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x))) #s(literal 2 binary64))) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal -2 binary64) #s(literal 2 binary64)) |
(- (+ 2 (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x))) |
(- (+ 2 (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))) |
(-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p p)) #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x)))) |
| 4 584× | lower-/.f32 |
| 4 566× | lower-/.f64 |
| 4 156× | lower-fma.f32 |
| 4 150× | lower-fma.f64 |
| 3 794× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 452 |
| 0 | 97 | 472 |
| 1 | 383 | 456 |
| 2 | 2657 | 311 |
| 0 | 9351 | 304 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x)) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x))))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x)))) |
(*.f64 p (/.f64 p (*.f64 x x))) |
(/.f64 p (*.f64 x x)) |
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) (+.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64))) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #s(literal -3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (fma.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) (*.f64 (fma.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (fma.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #s(literal -3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (*.f64 x x)))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #s(literal -3 binary64))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (*.f64 x x))) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #s(literal -3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (fma.f64 (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) x (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (*.f64 x x))))) (neg.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (*.f64 (*.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))))) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) (*.f64 x x)))) (*.f64 (*.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (*.f64 (*.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) |
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(/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 x x)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))) (+.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) (neg.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64)) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (+.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) (neg.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))) |
(neg.f64 (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) x #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) (/.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) (/.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))) (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (+.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x #s(literal 1 binary64)) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) |
(+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) |
Compiled 71 465 to 5 022 computations (93% saved)
20 alts after pruning (11 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 415 | 6 | 1 421 |
| Fresh | 4 | 5 | 9 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 419 | 20 | 1 439 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) |
| ✓ | 79.7% | (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | 77.6% | (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) |
| ✓ | 6.6% | (sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 50.8% | (sqrt.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)))) | |
| ✓ | 52.4% | (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
| 12.9% | (sqrt.f64 (/.f64 #s(approx (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 p p))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) | |
| ▶ | 50.4% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))))) |
| 52.4% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))) | |
| ✓ | 52.4% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
| 49.9% | (sqrt.f64 #s(approx (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) | |
| ✓ | 28.9% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))) |
| ▶ | 12.9% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)))) |
| 11.4% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) p) p) (*.f64 #s(literal -12 binary64) (*.f64 (*.f64 p p) (*.f64 p p))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 p p)) (*.f64 x x)))) | |
| ▶ | 16.0% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)))) |
| ✓ | 18.8% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x))))) |
| ✓ | 53.6% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
| 49.6% | #s(approx (sqrt (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) | |
| ▶ | 25.6% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) |
| ✓ | 38.4% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
Compiled 954 to 408 computations (57.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))))) | |
| cost-diff | 2880 | (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)))) | |
| cost-diff | 640 | (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)) | |
| cost-diff | 0 | (neg.f64 p) | |
| cost-diff | 0 | (/.f64 (neg.f64 p) x) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) | |
| cost-diff | 0 | (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) |
| 12 278× | lower-fma.f32 |
| 12 270× | lower-fma.f64 |
| 4 038× | lower-*.f32 |
| 4 020× | lower-*.f64 |
| 1 718× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 630 |
| 0 | 94 | 620 |
| 1 | 177 | 595 |
| 2 | 385 | 580 |
| 3 | 1135 | 580 |
| 4 | 3078 | 580 |
| 5 | 4802 | 547 |
| 0 | 8021 | 540 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) |
x |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) p) |
#s(literal 4 binary64) |
p |
(*.f64 x x) |
#s(literal 1/2 binary64) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) |
(/.f64 (neg.f64 p) x) |
(neg.f64 p) |
p |
x |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(*.f64 p p) |
p |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) |
(*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) |
(*.f64 (*.f64 p p) (*.f64 p p)) |
(*.f64 p p) |
p |
(/.f64 #s(literal -12 binary64) (*.f64 x x)) |
#s(literal -12 binary64) |
(*.f64 x x) |
x |
#s(literal 1/4 binary64) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))))) |
#s(literal 1/2 binary64) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) p) |
#s(literal 4 binary64) |
p |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64)) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
x |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) |
(fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) p) |
(*.f64 p #s(literal 4 binary64)) |
#s(literal 4 binary64) |
p |
(*.f64 x x) |
#s(literal 1/2 binary64) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) |
(/.f64 (neg.f64 p) x) |
(neg.f64 p) |
p |
x |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p (*.f64 x x)) p))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p (*.f64 x x)) p)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)) |
(*.f64 (/.f64 p (*.f64 x x)) p) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
(*.f64 p p) |
p |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p (*.f64 x x)) (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) p) (*.f64 p p) p)))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p (*.f64 x x)) (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) p) (*.f64 p p) p))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)) |
(*.f64 (/.f64 p (*.f64 x x)) (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) p) (*.f64 p p) p)) |
(fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) p) p #s(literal 1 binary64)) (*.f64 p p)) |
(*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -12 binary64) (*.f64 p p)) (*.f64 (/.f64 p (*.f64 x x)) p)) |
(*.f64 (*.f64 p p) (*.f64 p p)) |
(*.f64 (*.f64 (*.f64 p p) p) p) |
(*.f64 p p) |
p |
(/.f64 #s(literal -12 binary64) (*.f64 x x)) |
#s(literal -12 binary64) |
(*.f64 x x) |
x |
#s(literal 1/4 binary64) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))))) |
(sqrt.f64 (*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x #s(literal -1 binary64)))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
#s(literal 1 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) |
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) |
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
(fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)) |
(fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) |
(*.f64 #s(literal 4 binary64) p) |
(*.f64 p #s(literal 4 binary64)) |
#s(literal 4 binary64) |
p |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
#s(literal -1 binary64) |
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) |
(-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.254723807951137 | (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) | |
| accuracy | 8.254723807951137 | (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) | |
| accuracy | 14.63530602503128 | (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) | |
| accuracy | 31.161531238235046 | (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) | |
| accuracy | 4.560997376042884 | (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)) | |
| accuracy | 5.36585188626102 | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)))) | |
| accuracy | 15.761588707302995 | (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) | |
| accuracy | 47.915288205246476 | #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x))) | |
| accuracy | 0.234375 | (/.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 5.36585188626102 | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)))) | |
| accuracy | 6.2605075546854065 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)) | |
| accuracy | 46.96840349816959 | #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p))) | |
| accuracy | 0 | (/.f64 (neg.f64 p) x) | |
| accuracy | 0 | (neg.f64 p) | |
| accuracy | 47.59309161008346 | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) | |
| accuracy | 0.7048044516826061 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) | |
| accuracy | 5.36585188626102 | (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 7.522607369904728 | (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 14.63530602503128 | (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
| 79.0ms | 63× | 2 | valid |
| 75.0ms | 128× | 0 | valid |
| 32.0ms | 49× | 1 | valid |
| 18.0ms | 16× | 3 | valid |
Compiled 600 to 54 computations (91% saved)
ival-div: 73.0ms (44.6% of total)ival-mult: 36.0ms (22% of total)ival-sqrt: 19.0ms (11.6% of total)ival-add: 18.0ms (11% of total)adjust: 13.0ms (7.9% of total)ival-sub: 2.0ms (1.2% of total)ival-neg: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (patch #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 p) x) (patch (/.f64 (neg.f64 p) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 p) (patch (neg.f64 p) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)))) (patch (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p))) (patch #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (patch (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)))) (patch (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x))) (patch #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)) (patch (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) (patch (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))))) (patch (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))))) (patch (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) (patch (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (patch (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 p) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) (taylor 0 p) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) (taylor 0 p) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) (taylor 0 p) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 p) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (/ (pow p 2) (pow x 2)))) (taylor 0 p) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow p 2) (+ (* -9/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) (taylor 0 p) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* (pow p 2) (+ (* (pow p 2) (- (* 49/16 (/ (pow p 2) (pow x 6))) (* 9/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) (taylor 0 p) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | p | @ | inf | ((/ 1 (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)))) (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2))) (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (neg p) x) (neg p) (* (/ 1 (* x x)) (* p p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ 1 (* x x)) (+ (* (* (* (* p p) (* p p)) (/ -12 (* x x))) 1/4) (* p p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ (+ (* (* (* (* p p) (* p p)) (/ -12 (* x x))) 1/4) (* p p)) (* x x)) (+ (* (* (neg x) x) (/ 1 (* (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+ (* (* 4 p) p) (* x x))))) (/ -1 (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1))) (sqrt (* 1/2 (+ (* (* (neg x) x) (/ 1 (* (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+ (* (* 4 p) p) (* x x))))) (/ -1 (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1))))) (* 1/2 (+ (* (* (neg x) x) (/ 1 (* (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+ (* (* 4 p) p) (* x x))))) (/ -1 (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1)))) (* (neg x) x) (sqrt (+ (* (* 4 p) p) (* x x))) (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) |
| 7.0ms | p | @ | 0 | ((/ 1 (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)))) (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2))) (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (neg p) x) (neg p) (* (/ 1 (* x x)) (* p p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ 1 (* x x)) (+ (* (* (* (* p p) (* p p)) (/ -12 (* x x))) 1/4) (* p p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ (+ (* (* (* (* p p) (* p p)) (/ -12 (* x x))) 1/4) (* p p)) (* x x)) (+ (* (* (neg x) x) (/ 1 (* (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+ (* (* 4 p) p) (* x x))))) (/ -1 (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1))) (sqrt (* 1/2 (+ (* (* (neg x) x) (/ 1 (* (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+ (* (* 4 p) p) (* x x))))) (/ -1 (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1))))) (* 1/2 (+ (* (* (neg x) x) (/ 1 (* (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+ (* (* 4 p) p) (* x x))))) (/ -1 (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1)))) (* (neg x) x) (sqrt (+ (* (* 4 p) p) (* x x))) (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) |
| 6.0ms | x | @ | inf | ((/ 1 (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)))) (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2))) (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (neg p) x) (neg p) (* (/ 1 (* x x)) (* p p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ 1 (* x x)) (+ (* (* (* (* p p) (* p p)) (/ -12 (* x x))) 1/4) (* p p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ (+ (* (* (* (* p p) (* p p)) (/ -12 (* x x))) 1/4) (* p p)) (* x x)) (+ (* (* (neg x) x) (/ 1 (* (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+ (* (* 4 p) p) (* x x))))) (/ -1 (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1))) (sqrt (* 1/2 (+ (* (* (neg x) x) (/ 1 (* (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+ (* (* 4 p) p) (* x x))))) (/ -1 (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1))))) (* 1/2 (+ (* (* (neg x) x) (/ 1 (* (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+ (* (* 4 p) p) (* x x))))) (/ -1 (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1)))) (* (neg x) x) (sqrt (+ (* (* 4 p) p) (* x x))) (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) |
| 5.0ms | x | @ | -inf | ((/ 1 (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)))) (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2))) (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (neg p) x) (neg p) (* (/ 1 (* x x)) (* p p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ 1 (* x x)) (+ (* (* (* (* p p) (* p p)) (/ -12 (* x x))) 1/4) (* p p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ (+ (* (* (* (* p p) (* p p)) (/ -12 (* x x))) 1/4) (* p p)) (* x x)) (+ (* (* (neg x) x) (/ 1 (* (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+ (* (* 4 p) p) (* x x))))) (/ -1 (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1))) (sqrt (* 1/2 (+ (* (* (neg x) x) (/ 1 (* (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+ (* (* 4 p) p) (* x x))))) (/ -1 (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1))))) (* 1/2 (+ (* (* (neg x) x) (/ 1 (* (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+ (* (* 4 p) p) (* x x))))) (/ -1 (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1)))) (* (neg x) x) (sqrt (+ (* (* 4 p) p) (* x x))) (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) |
| 3.0ms | x | @ | 0 | ((/ 1 (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)))) (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2))) (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (neg p) x) (neg p) (* (/ 1 (* x x)) (* p p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ 1 (* x x)) (+ (* (* (* (* p p) (* p p)) (/ -12 (* x x))) 1/4) (* p p)) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/ (+ (* (* (* (* p p) (* p p)) (/ -12 (* x x))) 1/4) (* p p)) (* x x)) (+ (* (* (neg x) x) (/ 1 (* (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+ (* (* 4 p) p) (* x x))))) (/ -1 (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1))) (sqrt (* 1/2 (+ (* (* (neg x) x) (/ 1 (* (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+ (* (* 4 p) p) (* x x))))) (/ -1 (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1))))) (* 1/2 (+ (* (* (neg x) x) (/ 1 (* (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (+ (* (* 4 p) p) (* x x))))) (/ -1 (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1)))) (* (neg x) x) (sqrt (+ (* (* 4 p) p) (* x x))) (+ (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) -1) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) |
| 1× | egg-herbie |
| 8 070× | lower-*.f64 |
| 8 070× | lower-*.f32 |
| 7 612× | lower-fma.f64 |
| 7 612× | lower-fma.f32 |
| 5 882× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1311 | 20192 |
| 1 | 4322 | 19871 |
| 0 | 9101 | 18537 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) |
1 |
(+ 1 (* 1/2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (+ (* -9/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow p 2) (+ (* (pow p 2) (- (* 49/16 (/ (pow p 2) (pow x 6))) (* 9/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) |
1 |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(* -1 p) |
(* -1 p) |
(* -1 p) |
(* -1 p) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) |
(pow p 2) |
(* (pow p 2) (+ 1 (* -3 (/ (pow p 2) (pow x 2))))) |
(* (pow p 2) (+ 1 (* -3 (/ (pow p 2) (pow x 2))))) |
(* (pow p 2) (+ 1 (* -3 (/ (pow p 2) (pow x 2))))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) |
(/ (pow p 2) (pow x 2)) |
(* (pow p 2) (+ (* -3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))) |
(* (pow p 2) (+ (* -3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))) |
(* (pow p 2) (+ (* -3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2)))) |
2 |
(+ 2 (* -2 (/ (pow p 2) (pow x 2)))) |
(+ 2 (* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2)))))) |
(+ 2 (* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2)))))) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* 1/2 (/ (* (pow p 2) (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow p 2) (+ (* -1 (/ (sqrt 1/2) (* (pow x 2) (sqrt 2)))) (* (pow p 2) (+ (* -1/2 (/ (* (pow p 2) (* (sqrt 1/2) (+ (* -1 (/ (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2)))) (* (pow x 2) (pow (sqrt 2) 2)))) (* 20 (/ 1 (pow x 6)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- (* 6 (/ 1 (pow x 4))) (/ 1 (* (pow x 4) (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) |
x |
(+ x (* 2 (/ (pow p 2) x))) |
(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))) |
(+ x (* (pow p 2) (+ (* (pow p 2) (- (* 4 (/ (pow p 2) (pow x 5))) (* 2 (/ 1 (pow x 3))))) (* 2 (/ 1 x))))) |
(* -2 (/ (pow p 2) (pow x 2))) |
(* (pow p 2) (- (* 6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(* (pow p 2) (- (* (pow p 2) (+ (* -20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))) |
(* (pow p 2) (- (* (pow p 2) (+ (* (pow p 2) (- (* 70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))) |
(* 2 (/ (pow p 2) (pow x 2))) |
(* (pow p 2) (+ (* -6 (/ (pow p 2) (pow x 4))) (* 2 (/ 1 (pow x 2))))) |
(* (pow p 2) (+ (* (pow p 2) (- (* 20 (/ (pow p 2) (pow x 6))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))) |
(* (pow p 2) (+ (* (pow p 2) (- (* (pow p 2) (+ (* -70 (/ (pow p 2) (pow x 8))) (* 20 (/ 1 (pow x 6))))) (* 6 (/ 1 (pow x 4))))) (* 2 (/ 1 (pow x 2))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2)))))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2))))))) |
(sqrt 2) |
(+ (sqrt 2) (* -1/2 (/ x (* p (sqrt 2))))) |
(+ (sqrt 2) (+ (* -1/2 (/ x (* p (sqrt 2)))) (* -1/2 (/ (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow p 2) (sqrt 2)))))) |
(+ (sqrt 2) (+ (* -1/2 (/ x (* p (sqrt 2)))) (+ (* -1/2 (/ (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow p 2) (sqrt 2)))) (* -1/2 (/ (+ (* -1/8 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (/ (* x (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* (pow p 3) (sqrt 2))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2)))))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2)))))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (+ (* 1/8 (/ x (* p (sqrt 1/2)))) (* 1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* (pow p 3) (sqrt 1/2))))))) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(* -1 p) |
(* -1 p) |
(* -1 p) |
(* -1 p) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))) |
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3)))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))) |
(* -3 (/ (pow p 4) (pow x 2))) |
(* (pow p 4) (- (/ 1 (pow p 2)) (* 3 (/ 1 (pow x 2))))) |
(* (pow p 4) (- (/ 1 (pow p 2)) (* 3 (/ 1 (pow x 2))))) |
(* (pow p 4) (- (/ 1 (pow p 2)) (* 3 (/ 1 (pow x 2))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))) |
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) (pow p 3)))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))) |
(* -3 (/ (pow p 4) (pow x 4))) |
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4))))) |
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4))))) |
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4))))) |
1 |
(+ 1 (* 1/2 (/ x p))) |
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (+ (* 1/4 (/ (pow x 2) (pow p 2))) (* 1/2 (/ x p))))) |
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (+ (* -1/8 (/ (pow x 3) (pow p 3))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (+ (* 1/8 (/ (pow x 3) (pow p 3))) (+ (* 1/4 (/ (pow x 2) (pow p 2))) (* 1/2 (/ x p)))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (* 1/2 (/ (* (sqrt 1/2) (- (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (* 1/16 (pow x 2)))) (pow p 2))))) |
(+ (sqrt 1/2) (+ (* 1/4 (/ (* x (sqrt 1/2)) p)) (+ (* 1/2 (/ (* (sqrt 1/2) (- (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (* 1/16 (pow x 2)))) (pow p 2))) (* 1/2 (/ (* (sqrt 1/2) (- (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) (* 1/4 (* x (- (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (* 1/16 (pow x 2))))))) (pow p 3)))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (+ (* 1/4 (/ x p)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (pow p 2))))) |
(+ 1/2 (+ (* 1/4 (/ x p)) (+ (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (pow p 2))) (* 1/2 (/ (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) (pow p 3)))))) |
(* 2 p) |
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))) |
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))) |
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
-1 |
(- (* 1/2 (/ x p)) 1) |
(- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))) 1) |
(- (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) 1) |
1 |
(+ 1 (* -1/2 (/ x p))) |
(- (+ 1 (* 1/16 (/ (pow x 3) (pow p 3)))) (* 1/2 (/ x p))) |
(- (+ 1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (/ x (* p (sqrt 2))))) |
(+ (sqrt 2) (* -1 (/ (+ (* -1/2 (/ x (sqrt 2))) (* 1/2 (/ (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* p (sqrt 2))))) p))) |
(+ (sqrt 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (sqrt 2))) (* 1/2 (/ (+ (* -1/8 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (/ (* x (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2))))) (* p (sqrt 2))))) p)) (* -1/2 (/ x (sqrt 2)))) p))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p))) |
1/2 |
(+ 1/2 (* -1/4 (/ x p))) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/32 (pow x 3)) (* -1/512 (/ (pow x 3) (pow (sqrt 1/2) 4)))) (* p (sqrt 1/2)))) (* -1/128 (/ (pow x 2) (pow (sqrt 1/2) 3)))) p)) (* 1/8 (/ x (sqrt 1/2)))) p))) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(* -1 p) |
(* -1 p) |
(* -1 p) |
(* -1 p) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
1/2 |
(+ 1/2 (* -1/4 (/ x p))) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
(* -3 (/ (pow p 4) (pow x 2))) |
(* (pow p 4) (- (/ 1 (pow p 2)) (* 3 (/ 1 (pow x 2))))) |
(* (pow p 4) (- (/ 1 (pow p 2)) (* 3 (/ 1 (pow x 2))))) |
(* (pow p 4) (- (/ 1 (pow p 2)) (* 3 (/ 1 (pow x 2))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
1/2 |
(+ 1/2 (* -1/4 (/ x p))) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
(* -3 (/ (pow p 4) (pow x 4))) |
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4))))) |
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4))))) |
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4))))) |
1 |
(+ 1 (* -1/2 (/ x p))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) p)) (* 1/2 x)) p))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) p)) (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))) p)) (* 1/2 x)) p))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (* 1/16 (pow x 2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) (* 1/4 (* x (- (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (* 1/16 (pow x 2))))))) p)) (* 1/2 (* (sqrt 1/2) (- (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (* 1/16 (pow x 2)))))) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
1/2 |
(+ 1/2 (* -1/4 (/ x p))) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) p)) (* 1/4 x)) p))) |
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) p)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))))) p)) (* 1/4 x)) p))) |
(* -2 p) |
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))) |
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))) |
-1 |
(- (* -1/2 (/ x p)) 1) |
(- (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) 1) |
(- (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) 1) |
1 |
(+ 1 (* 1/2 (/ x p))) |
(+ 1 (* -1 (/ (- (* 1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))) |
(+ 1 (* -1 (/ (- (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4)) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
(sqrt 2) |
(+ (sqrt 2) (* -1/2 (/ x (* p (sqrt 2))))) |
(+ (sqrt 2) (* x (- (* 1/2 (/ (* x (- (* 1/2 (/ 1 (pow p 2))) (* 1/4 (/ 1 (* (pow p 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ 1 (* p (sqrt 2))))))) |
(+ (sqrt 2) (* x (- (* x (+ (* -1/2 (/ (* x (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow p 2))) (* 1/4 (/ 1 (* (pow p 2) (pow (sqrt 2) 2))))) (* p (pow (sqrt 2) 2)))) (* 1/8 (/ 1 (pow p 3))))) (sqrt 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow p 2))) (* 1/4 (/ 1 (* (pow p 2) (pow (sqrt 2) 2))))) (sqrt 2))))) (* 1/2 (/ 1 (* p (sqrt 2))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p))))) |
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3)))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* -3 (/ (pow p 4) (pow x 2))) |
(/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 2)) |
(/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 2)) |
(/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 2)) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p))))) |
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3)))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(* -3 (/ (pow p 4) (pow x 4))) |
(/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 4)) |
(/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 4)) |
(/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 4)) |
1 |
(+ 1 (* 1/2 (/ x p))) |
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))) |
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p))))) |
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3)))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x p))) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* 2 p) |
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p)) |
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(+ (* 2 p) (* (pow x 2) (+ (* (pow x 2) (- (* 1/512 (/ (pow x 2) (pow p 5))) (* 1/64 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
-1 |
(- (* 1/2 (/ x p)) 1) |
(- (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p)))) 1) |
(- (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p)))) 1) |
1 |
(+ 1 (* -1/2 (/ x p))) |
(+ 1 (* x (- (* 1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))) |
(+ 1 (* x (- (* (pow x 2) (+ (* -3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))) |
1 |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))))) |
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6)))))) |
1 |
(+ 1 (* 1/2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow p 4)) (+ (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))) (pow x 4))) (* 1/2 (/ (pow p 2) (pow x 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (pow p 4)) (+ (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))) (pow x 4))) (+ (* -1/2 (/ (+ (* -1/2 (* (pow p 2) (+ (* -1 (pow p 4)) (+ (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (+ (* -1/4 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* -1 (pow p 4)) (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (pow x 6))) (* 1/2 (/ (pow p 2) (pow x 2)))))) |
1 |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))))) |
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6)))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) |
1 |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))))) |
(+ 1 (+ (* -1/2 (/ (pow p 2) (pow x 2))) (+ (* 1/2 (/ (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1/2 (* (pow p 2) (- (* -1/4 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/4 (pow p 4)))))) (pow x 6)))))) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(pow p 2) |
(+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) |
(+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) |
(+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (* (pow x 4) (sqrt 2)))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* -1 (/ (* (pow p 2) (- (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (/ (pow p 4) (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (* (pow x 6) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))))) |
1 |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (+ (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* -1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))))) |
(/ (pow p 2) (pow x 2)) |
(/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2)) |
(/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2)) |
(/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2)) |
(+ (* -1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 4))) (* 1/4 (/ (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 8 (pow p 4))) (pow p 4)))) |
(+ (* -1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 4))) (+ (* -1/8 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (* (pow p 4) (pow x 2)))) (+ (* -1/8 (/ (pow (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 8 (pow p 4))) 2) (* (pow p 6) (pow x 2)))) (+ (* 1/32 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 6) (pow x 2)))) (+ (* 1/4 (/ (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 8 (pow p 4))) (pow p 4))) (* 1/4 (/ (+ (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* (pow p 4) (pow x 2))))))))) |
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(* 1/2 (+ (* -1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow p 4))) (* 1/4 (/ (+ (* 1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 8 (pow p 4))) (pow p 4))))) |
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(* 1/32 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 6))) (* 1/4 (/ (+ (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (pow p 4)))))) (pow x 2)))))) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
x |
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))) |
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))) |
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))) |
(* -2 (/ (pow p 2) (pow x 2))) |
(/ (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2)))) (pow x 2)) |
(/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))))) (pow x 2)) |
(/ (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2)) |
(* 2 (/ (pow p 2) (pow x 2))) |
(/ (- (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -2 (pow p 2))) (pow x 2)) |
(/ (- (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (+ (* -2 (pow p 2)) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))))) (pow x 2)) |
(/ (- (* 1/2 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* -2 (pow p 2)) (+ (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4)))))) (pow x 2)) |
(* -1 (/ p x)) |
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x)) |
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x)) |
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x)) |
(* -1 (/ x p)) |
(* -1 (* x (+ (* -1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 3) (pow x 2)))) (/ 1 p)))) |
(* -1 (* x (+ (* -1/2 (/ (* p (+ (* -1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 6))) (+ (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 6))) (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 4)))))) (pow x 4))) (+ (* -1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 3) (pow x 2)))) (/ 1 p))))) |
(* -1 (* x (+ (* -1/2 (/ (* p (+ (* -1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* -1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 6))) (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 4))))) (pow p 2))) (+ (* -1/16 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow p 6))) (+ (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* -1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 6))) (+ (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 6))) (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 4)))))) (pow p 2))) (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow p 4))))))) (pow x 6))) (+ (* -1/2 (/ (* p (+ (* -1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 6))) (+ (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 6))) (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow p 4)))))) (pow x 4))) (+ (* -1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* (pow p 3) (pow x 2)))) (/ 1 p)))))) |
(* -1 (/ p x)) |
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x)) |
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x)) |
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x)) |
(/ (pow p 2) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2)) |
(* -1 (/ p x)) |
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x)) |
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4)))))) x)) |
(* -1 (/ (+ p (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2)))) (+ (* 1/2 (/ (- (* 1/4 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/8 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2))))) (pow p 2)))) (* p (pow x 6)))) (* 1/2 (/ (- (* 1/4 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/64 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (pow p 2)))) (* p (pow x 4))))))) x)) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(* -1 (/ p x)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x)) |
(/ (pow p 2) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ 1 (pow x 2)) |
(pow p 2) |
(+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) |
(+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) |
(+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) |
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2))))) x)) |
(* -1 (/ (+ (* 1/4 (/ (* (sqrt 1/2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* p (* (pow x 2) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 6) (sqrt 2))))) (+ (* 1/2 (/ (* (sqrt 1/2) (- (* 1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* 1/16 (/ (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2) (* (pow p 2) (pow (sqrt 2) 2)))))) (* p (* (pow x 4) (sqrt 2))))) (* p (* (sqrt 1/2) (sqrt 2)))))) x)) |
(/ (pow p 2) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2))) (pow x 2)) |
(/ (+ (* 1/4 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (pow p 2)))) (pow x 2)) |
(/ (pow p 2) (pow x 2)) |
(/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2)) |
(/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2)) |
(/ (+ (* -3 (/ (pow p 4) (pow x 2))) (pow p 2)) (pow x 2)) |
(/ (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))) (pow x 2)) |
(/ (+ (* -1/8 (/ (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2) (pow x 2))) (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2))) (+ (* 1/2 (/ (pow p 4) (pow x 2))) (* 1/2 (pow p 2))))))) (pow x 2)) |
(/ (+ (* -1/2 (/ (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 4))) (+ (* -1/8 (/ (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (pow x 4))) (+ (* -1/8 (/ (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2) (pow x 2))) (+ (* 1/8 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4))) (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/8 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (pow x 4))) (+ (* 1/2 (/ (pow p 4) (pow x 2))) (+ (* 1/2 (pow p 2)) (/ (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4)))) (pow x 4))))))))))))) (pow x 2)) |
(/ (+ (* -1/2 (/ (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 6))) (+ (* -1/2 (/ (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))))) (pow x 6))) (+ (* -1/2 (/ (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))))) (pow x 4))) (+ (* -1/8 (/ (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (pow x 4))) (+ (* -1/8 (/ (* (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (pow x 6))) (+ (* -1/8 (/ (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2) (pow x 2))) (+ (* 1/8 (/ (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (pow x 4))) (+ (* 1/8 (/ (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (pow x 6))) (+ (* 1/8 (/ (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))) (pow x 6))) (+ (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (+ (* 1/8 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 4))) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (+ (* 1/4 (/ (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4)))) (pow x 6))) (+ (* 1/4 (/ (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (pow x 2))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (pow x 4))) (+ (* 1/4 (/ (+ (* -2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (* -1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))))))) (pow x 6))) (+ (* 1/2 (/ (pow p 4) (pow x 2))) (+ (* 1/2 (pow p 2)) (+ (/ (* (pow p 2) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))))) (pow x 6)) (/ (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4)))) (pow x 4))))))))))))))))))))) (pow x 2)) |
(* -1 (* (/ (* (sqrt -1) (sqrt -1/2)) x) (sqrt (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))))) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1/2) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4)))))) (* (pow x 2) (sqrt -1))) (sqrt (/ 1 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))))))) (* (* (sqrt -1) (sqrt -1/2)) (sqrt (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))))) x)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1/2) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (+ (* 1/4 (/ (pow (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4))))) 2) (* (pow (sqrt -1) 2) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))))))))) (* (pow x 4) (sqrt -1))) (sqrt (/ 1 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))))))) (+ (* -1/2 (* (/ (* (sqrt -1/2) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4)))))) (* (pow x 2) (sqrt -1))) (sqrt (/ 1 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))))))) (* (* (sqrt -1) (sqrt -1/2)) (sqrt (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))))))) x)) |
(* -1 (/ (+ (* -1/2 (* (/ (* (sqrt -1/2) (+ (* -1/2 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))))) (+ (* -1/8 (* (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (+ (* 1/8 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* 1/8 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (+ (* 1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))) (+ (* 1/4 (+ (* -2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (* -1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))))) (+ (* 1/2 (/ (* (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (+ (* 1/4 (/ (pow (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4))))) 2) (* (pow (sqrt -1) 2) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4)))))))))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4)))))) (* (pow (sqrt -1) 2) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))))) (* (pow p 2) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4)))))))))))))))) (* (pow x 6) (sqrt -1))) (sqrt (/ 1 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))))))) (+ (* -1/2 (* (/ (* (sqrt -1/2) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (+ (* 1/4 (/ (pow (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4))))) 2) (* (pow (sqrt -1) 2) (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))))))))) (* (pow x 4) (sqrt -1))) (sqrt (/ 1 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))))))) (+ (* -1/2 (* (/ (* (sqrt -1/2) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4)))))) (* (pow x 2) (sqrt -1))) (sqrt (/ 1 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))))))) (* (* (sqrt -1) (sqrt -1/2)) (sqrt (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))))))) x)) |
(* 1/2 (/ (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2))) (pow x 2))) |
(/ (+ (* 1/2 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))) (* 1/2 (/ (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4))))) (pow x 2)))) (pow x 2)) |
(/ (+ (* 1/2 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))) (+ (* 1/2 (/ (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))))))) (pow x 4))) (* 1/2 (/ (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4))))) (pow x 2))))) (pow x 2)) |
(/ (+ (* 1/2 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))) (+ (* 1/2 (/ (+ (* -1/2 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))))) (+ (* -1/8 (* (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (+ (* 1/8 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* 1/8 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (+ (* 1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))) (+ (* 1/4 (+ (* -2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (* -1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))))) (* (pow p 2) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4)))))))))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))))))) (pow x 4))) (* 1/2 (/ (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4))))) (pow x 2)))))) (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))) |
-2 |
(- (* 2 (/ (pow p 2) (pow x 2))) 2) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 2) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2) |
2 |
(+ 2 (* -2 (/ (pow p 2) (pow x 2)))) |
(- (+ 2 (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2)))) |
(- (+ 2 (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 p p) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 p p) (pow.f64 x #s(literal 6 binary64))) #s(literal -69/16 binary64) (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 p p) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (+ (* -9/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (+ (* (pow p 2) (- (* 49/16 (/ (pow p 2) (pow x 6))) (* 9/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 49/16 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -9/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 p p) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 p p) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 p p) (pow.f64 x #s(literal 6 binary64))) #s(literal -69/16 binary64) (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 p p) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (pow p 2) (pow x 2)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 p p) (*.f64 x x))) |
(+ 1 (* (pow p 2) (- (* 3 (/ (pow p 2) (pow x 4))) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -10 (/ (pow p 2) (pow x 6))) (* 3 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -10 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 p p) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* 11/8 (/ (pow p 2) (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 p p) (pow.f64 x #s(literal 4 binary64))) #s(literal 11/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(+ 1 (* (pow p 2) (- (* (pow p 2) (+ (* -69/16 (/ (pow p 2) (pow x 6))) (* 11/8 (/ 1 (pow x 4))))) (* 1/2 (/ 1 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 p p) (pow.f64 x #s(literal 6 binary64))) #s(literal -69/16 binary64) (/.f64 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 p p) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 1 binary64)) |
(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(* -1 p) |
(neg.f64 p) |
(* -1 p) |
(neg.f64 p) |
(* -1 p) |
(neg.f64 p) |
(* -1 p) |
(neg.f64 p) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(* (sqrt 1/2) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (* -1 (/ (* (pow p 2) (sqrt 1/2)) (* (pow x 2) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(fma.f64 (neg.f64 (*.f64 p p)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) |
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1 |
#s(literal 1 binary64) |
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1 |
#s(literal 1 binary64) |
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2 |
#s(literal 2 binary64) |
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(* (sqrt 1/2) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) |
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1 |
#s(literal 1 binary64) |
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x |
(+ x (* 2 (/ (pow p 2) x))) |
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(+ x (* (pow p 2) (+ (* -2 (/ (pow p 2) (pow x 3))) (* 2 (/ 1 x))))) |
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(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
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(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
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(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2)))))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
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(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))) |
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(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2)))))) |
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(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(* -1 p) |
(neg.f64 p) |
(* -1 p) |
(neg.f64 p) |
(* -1 p) |
(neg.f64 p) |
(* -1 p) |
(neg.f64 p) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (+ (* -1/32 (/ (* (pow x 2) (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (* x (sqrt 1/2)) p)))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
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(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))) |
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(* -3 (/ (pow p 4) (pow x 2))) |
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64)) (*.f64 x x)) |
(* (pow p 4) (- (/ 1 (pow p 2)) (* 3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 p p)) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (pow.f64 p #s(literal 4 binary64))) |
(* (pow p 4) (- (/ 1 (pow p 2)) (* 3 (/ 1 (pow x 2))))) |
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(* (pow p 4) (- (/ 1 (pow p 2)) (* 3 (/ 1 (pow x 2))))) |
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(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
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(+ 1/2 (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p))))) |
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(* -3 (/ (pow p 4) (pow x 4))) |
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x p) (*.f64 x p))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 4 binary64))) |
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x p) (*.f64 x p))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 4 binary64))) |
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x p) (*.f64 x p))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 4 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/4 (/ (pow x 2) (pow p 2))) (+ (* 1/4 (/ (pow x 2) (pow p 2))) (* 1/2 (/ x p))))) |
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(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* 1/4 (/ x p)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (pow p 2))))) |
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(* 2 p) |
(*.f64 #s(literal 2 binary64) p) |
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 p p)) #s(literal 1/4 binary64) #s(literal 2 binary64)) p) |
(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2)))))) |
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(* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
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-1 |
#s(literal -1 binary64) |
(- (* 1/2 (/ x p)) 1) |
(fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #s(literal -1 binary64)) |
(- (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p))) 1) |
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(- (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 5))) (+ (* -1/16 (/ (pow x 3) (pow p 3))) (* 1/2 (/ x p)))) 1) |
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1 |
#s(literal 1 binary64) |
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(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
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(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/2 (/ x (* p (sqrt 2))))) |
(fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)) #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* -1 (/ (+ (* -1/2 (/ x (sqrt 2))) (* 1/2 (/ (+ (* -1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* p (sqrt 2))))) p))) |
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(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2))))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (/ x p))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
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(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
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(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/8 (/ x (* p (sqrt 1/2))))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/128 (/ (pow x 2) (* p (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (sqrt 1/2)))) p))) |
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(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(* -1 p) |
(neg.f64 p) |
(* -1 p) |
(neg.f64 p) |
(* -1 p) |
(neg.f64 p) |
(* -1 p) |
(neg.f64 p) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (/ x p))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
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(* -3 (/ (pow p 4) (pow x 2))) |
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64)) (*.f64 x x)) |
(* (pow p 4) (- (/ 1 (pow p 2)) (* 3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 p p)) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (pow.f64 p #s(literal 4 binary64))) |
(* (pow p 4) (- (/ 1 (pow p 2)) (* 3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 p p)) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (pow.f64 p #s(literal 4 binary64))) |
(* (pow p 4) (- (/ 1 (pow p 2)) (* 3 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 p p)) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (pow.f64 p #s(literal 4 binary64))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/32 (/ (* (pow x 2) (sqrt 1/2)) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
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(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (* -1/16 (pow x 3)) (* -1/64 (pow x 3)))) p)) (* -1/32 (* (pow x 2) (sqrt 1/2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (/ x p))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1 (/ (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x)) p))) |
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(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/32 (/ (pow x 3) (pow p 2))) (* 1/4 x))) p))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) x) (pow.f64 p #s(literal 4 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 p p)) #s(literal -1/32 binary64) (*.f64 #s(literal 1/4 binary64) x))) p)) |
(* -3 (/ (pow p 4) (pow x 4))) |
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x p) (*.f64 x p))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 4 binary64))) |
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x p) (*.f64 x p))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 4 binary64))) |
(* (pow p 4) (- (/ 1 (* (pow p 2) (pow x 2))) (* 3 (/ 1 (pow x 4))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x p) (*.f64 x p))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 4 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) p)) (* 1/2 x)) p))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 0 binary64) p)) p)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) p)) (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2)))) p)) (* 1/2 x)) p))) |
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(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/4 (/ (* x (sqrt 1/2)) p))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (* 1/16 (pow x 2)))) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
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(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sqrt 1/2) (- (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) (* 1/4 (* x (- (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (* 1/16 (pow x 2))))))) p)) (* 1/2 (* (sqrt 1/2) (- (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) (* 1/16 (pow x 2)))))) p)) (* 1/4 (* x (sqrt 1/2)))) p))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (/ x p))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))) p)) (* 1/4 x)) p))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal 0 binary64) p)) p)) |
(+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 3)) (+ (* -1/16 (pow x 3)) (* 1/8 (pow x 3)))) p)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/4 (pow x 2))))) p)) (* 1/4 x)) p))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) x (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/16 binary64))) p) #s(literal -1/2 binary64) #s(literal 0 binary64)) (neg.f64 p))) p)) |
(* -2 p) |
(*.f64 #s(literal -2 binary64) p) |
(* -1 (* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 p p)) #s(literal 1/4 binary64) #s(literal 2 binary64)) (neg.f64 p)) |
(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (* 1/4 (/ (pow x 2) (pow p 2))))))) |
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(* -1 (* p (+ 2 (+ (* -1/64 (/ (pow x 4) (pow p 4))) (+ (* 1/512 (/ (pow x 6) (pow p 6))) (* 1/4 (/ (pow x 2) (pow p 2)))))))) |
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-1 |
#s(literal -1 binary64) |
(- (* -1/2 (/ x p)) 1) |
(fma.f64 (/.f64 x p) #s(literal -1/2 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p)) 1) |
(-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 p p)) #s(literal -1/16 binary64) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 p)) #s(literal 1 binary64)) |
(- (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4))) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p)) 1) |
(-.f64 (/.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 p p)) #s(literal -1/16 binary64) (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 p)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* 1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 p p)) #s(literal 1/16 binary64) (*.f64 x #s(literal -1/2 binary64))) p)) |
(+ 1 (* -1 (/ (- (/ (* x (+ (* -1/64 (pow x 4)) (* 1/256 (pow x 4)))) (pow p 4)) (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x))) p))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) x) (pow.f64 p #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 p p)) #s(literal -1/16 binary64) (*.f64 #s(literal 1/2 binary64) x))) p)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 p p))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) x (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 p p) p) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 p p) p))) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 p p)))) x (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) x (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* -1/2 (/ x (* p (sqrt 2))))) |
(fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* x (- (* 1/2 (/ (* x (- (* 1/2 (/ 1 (pow p 2))) (* 1/4 (/ 1 (* (pow p 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ 1 (* p (sqrt 2))))))) |
(fma.f64 (fma.f64 (*.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 p p)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 p p) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p))) x (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* x (- (* x (+ (* -1/2 (/ (* x (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow p 2))) (* 1/4 (/ 1 (* (pow p 2) (pow (sqrt 2) 2))))) (* p (pow (sqrt 2) 2)))) (* 1/8 (/ 1 (pow p 3))))) (sqrt 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow p 2))) (* 1/4 (/ 1 (* (pow p 2) (pow (sqrt 2) 2))))) (sqrt 2))))) (* 1/2 (/ 1 (* p (sqrt 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 p p)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 p p) #s(literal 2 binary64)))) p) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 p p) p))) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 p p)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 p p) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) x (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p))) x (sqrt.f64 #s(literal 2 binary64))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 p p))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) x (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 p p) p) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 p p) p))) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 p p)))) x (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) x (sqrt.f64 #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 p p) p)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 p #s(literal 5 binary64))) #s(literal 3/512 binary64) (/.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 p p) p))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/8 (/ x (* p (sqrt 1/2))))) |
(fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 p p))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) x (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow p 3) (pow (sqrt 1/2) 4)))) (* 1/32 (/ 1 (pow p 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow p 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* p (sqrt 1/2))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 p p) p) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 p p) p))) x) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64) (/.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 p p)))) x (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) x (sqrt.f64 #s(literal 1/2 binary64))) |
(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(/ (pow p 2) (pow x 2)) |
(/.f64 (*.f64 p p) (*.f64 x x)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p))))) |
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (*.f64 p p))) x (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (*.f64 p p) p)) #s(literal -3/128 binary64) (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 p p))) x (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 p p) p)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 p #s(literal 5 binary64))) #s(literal 3/512 binary64) (/.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 p p) p))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* -3 (/ (pow p 4) (pow x 2))) |
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64)) (*.f64 x x)) |
(/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 x p) (*.f64 x p) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64))) (*.f64 x x)) |
(/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 x p) (*.f64 x p) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64))) (*.f64 x x)) |
(/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 2)) |
(/.f64 (fma.f64 (*.f64 x p) (*.f64 x p) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64))) (*.f64 x x)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p))))) |
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (*.f64 p p))) x (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (*.f64 p p) p)) #s(literal -3/128 binary64) (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 p p))) x (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 p p) p)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 p #s(literal 5 binary64))) #s(literal 3/512 binary64) (/.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 p p) p))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)) |
(* -3 (/ (pow p 4) (pow x 4))) |
(/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 4)) |
(/.f64 (fma.f64 (*.f64 x p) (*.f64 x p) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 4)) |
(/.f64 (fma.f64 (*.f64 x p) (*.f64 x p) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ (* -3 (pow p 4)) (* (pow p 2) (pow x 2))) (pow x 4)) |
(/.f64 (fma.f64 (*.f64 x p) (*.f64 x p) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64))) (pow.f64 x #s(literal 4 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* -1/16 (/ (pow x 2) (pow p 3))) (* 1/2 (/ 1 p))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 p p) p)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/2 binary64) p)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* (pow x 2) (- (* 3/256 (/ (pow x 2) (pow p 5))) (* 1/16 (/ 1 (pow p 3))))) (* 1/2 (/ 1 p))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 3/256 binary64) (/.f64 (*.f64 x x) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 p p) p))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) p)) x #s(literal 1 binary64)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/4 (/ (* x (sqrt 1/2)) p))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* -1/32 (/ (* x (sqrt 1/2)) (pow p 2))) (* 1/4 (/ (sqrt 1/2) p))))) |
(fma.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) (*.f64 p p))) x (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* x (+ (* 1/4 (/ (sqrt 1/2) p)) (* x (+ (* -1/32 (/ (sqrt 1/2) (pow p 2))) (* -3/128 (/ (* x (sqrt 1/2)) (pow p 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (*.f64 p p) p)) #s(literal -3/128 binary64) (/.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 p p))) x (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) x (sqrt.f64 #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 (/ x p))) |
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 p p) p)) #s(literal -1/32 binary64) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 3/512 (/ (pow x 2) (pow p 5))) (* 1/32 (/ 1 (pow p 3))))) (* 1/4 (/ 1 p))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (pow.f64 p #s(literal 5 binary64))) #s(literal 3/512 binary64) (/.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 p p) p))) (*.f64 x x) (/.f64 #s(literal 1/4 binary64) p)) x #s(literal 1/2 binary64)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* 2 p) |
(*.f64 #s(literal 2 binary64) p) |
(+ (* 1/4 (/ (pow x 2) p)) (* 2 p)) |
(fma.f64 (/.f64 (*.f64 x x) p) #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) p)) |
(+ (* 2 p) (* (pow x 2) (+ (* -1/64 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
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(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 p p) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 p p))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 p p) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) #s(literal 36 binary64)) #s(literal -1/8 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 p p) #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p p)) #s(literal 1/8 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal 1/8 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 p p))))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) #s(literal 36 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 1/8 binary64) (fma.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x))))) (*.f64 x x)) |
(/ (+ (* 1/2 (+ (* 1/4 (+ (* -2 (pow p 2)) (* 8 (pow p 2)))) (* 1/2 (pow p 2)))) (+ (* 1/2 (/ (+ (* -1/2 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))))) (+ (* -1/8 (* (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (+ (* 1/8 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (+ (* 1/8 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))) (+ (* 1/4 (* (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))) (+ (* 1/4 (+ (* -2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))))) (* -1/2 (+ (* -256 (pow p 8)) (+ (* 1/4 (pow (+ (* -16 (pow p 4)) (* 4 (pow p 4))) 2)) (* 2 (* (pow p 2) (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))))))) (* (pow p 2) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4)))))))))))))) (pow x 6))) (+ (* 1/2 (/ (+ (* -1/2 (* (+ (* -2 (pow p 2)) (* 8 (pow p 2))) (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))))))) (+ (* -1/8 (* (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* -2 (pow p 2)) (* 8 (pow p 2))))) (+ (* 1/8 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (+ (* 1/8 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))) (+ (* 1/4 (+ (* -2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* -1/2 (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6)))))) (* (pow p 2) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (* 1/2 (pow p 4))))))))) (pow x 4))) (* 1/2 (/ (+ (* -1/8 (pow (+ (* -2 (pow p 2)) (* 8 (pow p 2))) 2)) (+ (* 1/8 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))) (+ (* 1/4 (+ (* -8 (pow p 4)) (* -1/2 (+ (* -16 (pow p 4)) (* 4 (pow p 4)))))) (* 1/2 (pow p 4))))) (pow x 2)))))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 p p) #s(literal 6 binary64)) #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 p p))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64)))) (fma.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) #s(literal 36 binary64)) #s(literal -1/8 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 p p) #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 p p) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) #s(literal 36 binary64)) #s(literal -1/8 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64)))) (*.f64 (*.f64 p p) #s(literal 6 binary64))))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal -1/2 binary64))) (*.f64 (*.f64 p p) #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 p p)) (fma.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1/8 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 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#s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 (pow.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal -1/2 binary64))) #s(literal 1/4 binary64))))))))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 p p) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) #s(literal 36 binary64)) #s(literal -1/8 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 p p) #s(literal 6 binary64))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 p p)) #s(literal 1/8 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal 1/8 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 p p)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 p p))))))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) #s(literal 36 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal 1/8 binary64) (fma.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 p #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/2 binary64))))) (*.f64 x x)))))) (*.f64 x x)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 2 (/ (pow p 2) (pow x 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal 1 binary64))) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x))) x x)) |
(* -1 (* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6)))))))) |
(neg.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x)))) x x)) |
-2 |
#s(literal -2 binary64) |
(- (* 2 (/ (pow p 2) (pow x 2))) 2) |
(fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -2 binary64)) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 2) |
(fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -2 binary64))) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (+ (* 1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6))) (* 2 (/ (pow p 2) (pow x 2))))) 2) |
(fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x))) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64)) |
(- (+ 2 (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4)))) (* 2 (/ (pow p 2) (pow x 2)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x))) |
(- (+ 2 (* -1/2 (/ (+ (* 2 (* (pow p 2) (+ (* -16 (pow p 4)) (* 4 (pow p 4))))) (* 64 (pow p 6))) (pow x 6)))) (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2))))) |
(-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/2 binary64) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 x x)))) |
| 4 946× | lower-*.f32 |
| 4 928× | lower-*.f64 |
| 4 152× | lower-/.f32 |
| 4 134× | lower-/.f64 |
| 2 108× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 451 |
| 0 | 94 | 430 |
| 1 | 355 | 409 |
| 2 | 2273 | 409 |
| 0 | 8638 | 402 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) |
(/.f64 (neg.f64 p) x) |
(neg.f64 p) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)))) |
#s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 x) x) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) |
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1/2 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/4 binary64))))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/4 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/4 binary64))))))) |
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(/.f64 (sqrt.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1/2 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/4 binary64))))))) |
(/.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1/2 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/4 binary64)))))) |
(/.f64 (sqrt.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/4 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/8 binary64) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64))))) |
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64))))) |
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal -1 binary64))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal -1 binary64)) |
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(pow.f64 (/.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64)))) (neg.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (neg.f64 (neg.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64))) (*.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (*.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (*.f64 (+.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (neg.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64))) (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (neg.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (neg.f64 (+.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64)) (neg.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (+.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)) (neg.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (+.f64 (+.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) |
(-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(+.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
Compiled 54 626 to 4 061 computations (92.6% saved)
20 alts after pruning (9 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 125 | 5 | 1 130 |
| Fresh | 2 | 4 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 8 | 9 |
| Total | 1 130 | 20 | 1 150 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 79.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) |
| 52.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2))) (sqrt.f64 #s(literal 2 binary64)))) | |
| ✓ | 79.7% | (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | 77.6% | (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) |
| ✓ | 6.6% | (sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| 50.8% | (sqrt.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)))) | |
| ✓ | 52.4% | (sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
| ✓ | 50.4% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))))) |
| 52.4% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))) | |
| ✓ | 52.4% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
| 49.9% | (sqrt.f64 #s(approx (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) | |
| ✓ | 28.9% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))) |
| 11.4% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) p) p) (*.f64 #s(literal -12 binary64) (*.f64 (*.f64 p p) (*.f64 p p))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 p p)) (*.f64 x x)))) | |
| 13.9% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 #s(approx (+ (* (* (* (* p p) (* p p)) (/ -12 (* x x))) 1/4) (* p p)) (*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 p p))) (*.f64 x x)))) | |
| ✓ | 53.6% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
| 49.6% | #s(approx (/ 1 (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)))) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) | |
| 24.6% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 x p)) (*.f64 x x))) | |
| ✓ | 25.6% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) |
| 25.6% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (*.f64 p (/.f64 #s(literal -1 binary64) x))) | |
| ✓ | 38.4% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
Compiled 1 383 to 408 computations (70.5% saved)
| Inputs |
|---|
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (*.f64 p (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2))) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(approx (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 x p)) (*.f64 x x))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x))))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (*.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)))) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x))) |
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 #s(approx (+ (* (* (* (* p p) (* p p)) (/ -12 (* x x))) 1/4) (* p p)) (*.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 p p))) (*.f64 x x)))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x))) #s(literal 1/4 binary64) (*.f64 p p)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) |
(sqrt.f64 (/.f64 (*.f64 (fma.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))) (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal -1 binary64)))))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))) x))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) |
(sqrt.f64 (/.f64 #s(approx (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (*.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 p p) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 p p))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (*.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (*.f64 p p) (*.f64 p p)) (/.f64 #s(literal -12 binary64) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) p) p) (*.f64 #s(literal -12 binary64) (*.f64 (*.f64 p p) (*.f64 p p))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 p p)) (*.f64 x x)))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))) (/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))))))) |
| Outputs |
|---|
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64))) |
7 calls:
| 51.0ms | (*.f64 (*.f64 #s(literal 4 binary64) p) p) |
| 34.0ms | p |
| 17.0ms | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) |
| 10.0ms | x |
| 9.0ms | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.7% | 1 | p |
| 85.3% | 2 | x |
| 99.8% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) |
| 99.8% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) |
| 99.8% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| 99.8% | 2 | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
| 79.7% | 1 | (*.f64 (*.f64 #s(literal 4 binary64) p) p) |
Compiled 80 to 56 computations (30% saved)
| Inputs |
|---|
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (*.f64 p (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2))) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(sqrt.f64 #s(approx (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 x p)) (*.f64 x x))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 p (/.f64 p (*.f64 x x))))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 p p)))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (*.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))) |
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (/ (* (- 1 (/ (* x x) (+ (* (* 4 p) p) (* x x)))) 1/2) (- 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) p) #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (/ 1 (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2)))) (fma.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal 1/8 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x))) |
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* p 4) p) (* x x)))) (fma.f64 (/.f64 (*.f64 p p) (*.f64 x x)) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
4 calls:
| 10.0ms | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) |
| 5.0ms | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
| 5.0ms | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| 5.0ms | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) |
| 98.8% | 3 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) |
| 98.8% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| 98.8% | 3 | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
Compiled 67 to 47 computations (29.9% saved)
| Inputs |
|---|
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (*.f64 p (/.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sqrt (+ (* (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) 1/2) 1/2))) (sqrt.f64 #s(literal 2 binary64)))) |
| Outputs |
|---|
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
4 calls:
| 2.0ms | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| 2.0ms | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) |
| 2.0ms | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) |
| 97.5% | 3 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) |
| 97.5% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| 97.5% | 3 | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
Compiled 67 to 47 computations (29.9% saved)
| Inputs |
|---|
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64))) |
| Outputs |
|---|
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
7 calls:
| 4.0ms | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) |
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 #s(literal 4 binary64) p) p) |
| 2.0ms | p |
| 2.0ms | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.9% | 2 | p |
| 69.9% | 2 | (*.f64 (*.f64 #s(literal 4 binary64) p) p) |
| 62.5% | 2 | x |
| 75.5% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) |
| 75.5% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) |
| 75.5% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| 75.5% | 2 | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
Compiled 80 to 56 computations (30% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
7 calls:
| 1.0ms | x |
| 1.0ms | p |
| 1.0ms | (*.f64 (*.f64 #s(literal 4 binary64) p) p) |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) |
| 1.0ms | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.4% | 1 | x |
| 38.4% | 1 | p |
| 38.4% | 1 | (*.f64 (*.f64 #s(literal 4 binary64) p) p) |
| 38.4% | 1 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))) |
| 38.4% | 1 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))) |
| 38.4% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| 38.4% | 1 | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
Compiled 80 to 56 computations (30% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999943615 | -0.9999887438050786 |
Compiled 22 to 19 computations (13.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.1582325552766917e-7 | 1.0 |
| 0.0ms | -0.902818649552741 | -0.5045390673812059 |
Compiled 22 to 19 computations (13.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.1582325552766917e-7 | 1.0 |
| 0.0ms | -0.902818649552741 | -0.5045390673812059 |
Compiled 22 to 19 computations (13.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.1582325552766917e-7 | 1.0 |
| 6.0ms | 144× | 0 | valid |
Compiled 121 to 100 computations (17.4% saved)
ival-add: 1.0ms (37% of total)ival-mult: 1.0ms (37% of total)ival-sqrt: 1.0ms (37% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 6× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 309 |
| 1 | 69 | 309 |
| 2 | 75 | 309 |
| 3 | 80 | 309 |
| 4 | 83 | 309 |
| 5 | 84 | 309 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal 944473296573929/2361183241434822606848 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal 944473296573929/2361183241434822606848 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal 8106479329266893/18014398509481984 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -9007109182748445/9007199254740992 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal 944473296573929/2361183241434822606848 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 944473296573929/2361183241434822606848 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal 944473296573929/2361183241434822606848 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 944473296573929/2361183241434822606848 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal 8106479329266893/18014398509481984 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal 8106479329266893/18014398509481984 binary64)) (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
| 9 590× | lower-fma.f64 |
| 9 590× | lower-fma.f32 |
| 6 992× | lower-fma.f64 |
| 6 992× | lower-fma.f32 |
| 6 964× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 434 | 2486 |
| 1 | 1325 | 2377 |
| 2 | 4611 | 2304 |
| 0 | 8084 | 2141 |
| 0 | 1460 | 20510 |
| 1 | 4788 | 20185 |
| 0 | 8196 | 18822 |
| 0 | 14 | 66 |
| 0 | 23 | 66 |
| 1 | 77 | 66 |
| 2 | 501 | 66 |
| 3 | 6967 | 66 |
| 0 | 8492 | 59 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 665 to 279 computations (58% saved)
Compiled 432 to 166 computations (61.6% saved)
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