
Time bar (total: 7.8s)
| 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)
| 1.3s | 6 339× | 0 | valid |
| 263.0ms | 952× | 2 | valid |
| 172.0ms | 379× | 3 | valid |
| 131.0ms | 586× | 1 | valid |
ival-mult: 349.0ms (23% of total)const: 290.0ms (19.1% of total)ival-sqrt: 252.0ms (16.6% of total)ival-fabs: 232.0ms (15.3% of total)ival-add: 125.0ms (8.2% of total)ival-div: 103.0ms (6.8% of total)adjust: 82.0ms (5.4% of total)ival-<: 62.0ms (4.1% of total)ival-and: 11.0ms (0.7% of total)exact: 10.0ms (0.7% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 72 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) |
| 31 | 0 | - | 31 | (-9.085840547545429e-66 -5.89631463163895e+96) | (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))))))) |
| 30 | 34 | (2.6590608210046675e-26 -7.105560498789905e+135) | 0 | - | (+.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 | 72 | 0 |
| ↳ | (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)) | overflow | 72 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) p) p) | overflow | 72 | |
+.f64 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) | cancellation | 64 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 59 | 0 |
| - | 77 | 120 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 59 | 0 | 0 |
| - | 77 | 0 | 120 |
| number | freq |
|---|---|
| 0 | 120 |
| 1 | 136 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 40.0ms | 384× | 0 | valid |
| 15.0ms | 62× | 2 | valid |
| 12.0ms | 32× | 3 | valid |
| 6.0ms | 34× | 1 | valid |
Compiled 397 to 115 computations (71% saved)
ival-mult: 13.0ms (29.6% of total)ival-sqrt: 10.0ms (22.8% of total)ival-add: 9.0ms (20.5% of total)ival-div: 6.0ms (13.7% of total)adjust: 4.0ms (9.1% of total)ival-true: 1.0ms (2.3% of total)exact: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 17 to 14 computations (17.6% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.7% | (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 17 to 14 computations (17.6% 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)))))) |
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 | 0.00390625 | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) | |
| accuracy | 6.671902211258905 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) | |
| accuracy | 6.704934077659575 | (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 | 16.718330087796208 | (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))) |
| 22.0ms | 17× | 1 | valid |
| 22.0ms | 192× | 0 | valid |
| 8.0ms | 31× | 2 | valid |
| 5.0ms | 16× | 3 | valid |
Compiled 190 to 30 computations (84.2% saved)
ival-mult: 6.0ms (29% of total)ival-sqrt: 5.0ms (24.2% of total)ival-add: 4.0ms (19.3% of total)adjust: 3.0ms (14.5% of total)ival-div: 3.0ms (14.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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))) |
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
| Outputs |
|---|
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)) |
(* (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 (/ (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 |
(+ 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)))) |
(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 (* 1/2 (/ 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 (/ 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) |
(+ 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) (* -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 (* -1/2 (/ 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 (/ 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)) |
(+ 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) (* 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 (* 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))))) |
(+ (* 1/4 (/ (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))))) |
(* 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)))) |
(+ 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) (+ 1 (* 4 (/ (pow p 2) (pow x 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 (/ (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 (+ 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))))))) |
(+ 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)))))) |
(/ (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)) |
(* 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)))))))) |
-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) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | 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))) (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) |
| 3.0ms | 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))) (/ 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))) (/ 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))) (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) |
| 3.0ms | 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))) (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 472 | 2692 |
| 1 | 1444 | 2573 |
| 2 | 4984 | 2531 |
| 0 | 8537 | 2351 |
| 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)) |
(* (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 (/ (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 |
(+ 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)))) |
(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 (* 1/2 (/ 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 (/ 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) |
(+ 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) (* -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 (* -1/2 (/ 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 (/ 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)) |
(+ 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) (* 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 (* 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))))) |
(+ (* 1/4 (/ (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))))) |
(* 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)))) |
(+ 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) (+ 1 (* 4 (/ (pow p 2) (pow x 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 (/ (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 (+ 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))))))) |
(+ 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)))))) |
(/ (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)) |
(* 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)))))))) |
-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) |
| 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 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.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) (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 x 2) |
(*.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 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 x)) (/.f64 (*.f64 p p) (sqrt.f64 #s(literal 2 binary64))) (*.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) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) (*.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) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.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 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.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 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 x)) (sqrt.f64 #s(literal 2 binary64)))) (*.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 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 p p) 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 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) 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) (pow.f64 x #s(literal 4 binary64)))) (*.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 (pow.f64 x #s(literal 3 binary64)))) #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 (pow.f64 p #s(literal 4 binary64)) (fma.f64 (*.f64 p (/.f64 p (pow.f64 x #s(literal 5 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)) |
(+ 1 (* -2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 p p) x) #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 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.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 #s(literal -20 binary64) (*.f64 p (/.f64 p (pow.f64 x #s(literal 6 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)) |
1/2 |
#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 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal -1/32 binary64) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #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 (*.f64 (*.f64 #s(literal -3/256 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 x (pow.f64 p #s(literal 5 binary64)))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal -1/32 binary64) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #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 (*.f64 (fma.f64 (/.f64 x p) (/.f64 x p) #s(literal 4 binary64)) 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 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) p) #s(literal -1/32 binary64)) x (*.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 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) p) #s(literal -1/32 binary64)) x (*.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 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -3/64 binary64) (pow.f64 p #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/16 binary64) (pow.f64 (/.f64 x p) #s(literal 3 binary64)) (fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #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))))) |
(-.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 x p) #s(literal 3 binary64)) (fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -3/256 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 x (pow.f64 p #s(literal 5 binary64))))) |
(* 2 p) |
(*.f64 #s(literal 2 binary64) p) |
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) p) (*.f64 x (/.f64 x p)) #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 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/64 binary64) (pow.f64 p #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) (*.f64 x (/.f64 x p)) #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 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/64 binary64) (pow.f64 p #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) (*.f64 x (/.f64 x p)) #s(literal 2 binary64))) p) |
(* 1/2 (/ x p)) |
(*.f64 (/.f64 x p) #s(literal 1/2 binary64)) |
(/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) p) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (*.f64 #s(literal 1/2 binary64) 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) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) p) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (*.f64 x (pow.f64 x #s(literal 4 binary64))) #s(literal 3/256 binary64)) (pow.f64 p #s(literal 4 binary64))))) 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) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) p) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 #s(literal -3/256 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 x (pow.f64 p #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/256 binary64) (pow.f64 x #s(literal 4 binary64))) x) x) #s(literal 1/8 binary64) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 x (pow.f64 p #s(literal 6 binary64)))))) p) |
(+ 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 #s(literal -1/32 binary64) p) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (*.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 #s(literal -1/2 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -3/256 binary64) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/32 binary64) p) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (*.f64 #s(literal 1/4 binary64) x))) p)) |
(+ (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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal -3/64 binary64) (pow.f64 x #s(literal 3 binary64))) p) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x) #s(literal -1/32 binary64))) (neg.f64 p))) p)) |
(+ 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 #s(literal -1/16 binary64) p) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (*.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 (/.f64 #s(literal -1/16 binary64) p) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (*.f64 x (pow.f64 x #s(literal 4 binary64))) #s(literal 3/256 binary64)) (pow.f64 p #s(literal 4 binary64))))) 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 #s(literal 1/4 binary64) p) (*.f64 x (/.f64 x p)) #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 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/64 binary64) (pow.f64 p #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) (*.f64 x (/.f64 x p)) #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 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/64 binary64) (pow.f64 p #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) (*.f64 x (/.f64 x p)) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 p #s(literal 6 binary64))))) #s(literal -1 binary64) #s(literal -2 binary64)) 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)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) p) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 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 (fma.f64 (/.f64 #s(literal -1/16 binary64) p) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (*.f64 x (pow.f64 x #s(literal 4 binary64))) #s(literal 3/256 binary64)) (pow.f64 p #s(literal 4 binary64))))) (neg.f64 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)) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) p) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 #s(literal -3/256 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 x (pow.f64 p #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/256 binary64) (pow.f64 x #s(literal 4 binary64))) x) x) #s(literal 1/8 binary64) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 x (pow.f64 p #s(literal 6 binary64)))))) (neg.f64 p)) |
(+ 1/2 (* x (+ (* -1/32 (/ (pow x 2) (pow p 3))) (* 1/4 (/ 1 p))))) |
(fma.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal -1/32 binary64) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #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 (*.f64 x (/.f64 x (pow.f64 p #s(literal 5 binary64)))) #s(literal 3/512 binary64) (/.f64 #s(literal -1/32 binary64) (pow.f64 p #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #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 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) p) #s(literal -1/32 binary64)) x (*.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 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 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) 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 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))) x x)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal -1 binary64)) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1) |
(fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal -1 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))))) 1) |
(fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p (*.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 78 |
| 0 | 23 | 78 |
| 1 | 77 | 78 |
| 2 | 501 | 78 |
| 3 | 6967 | 78 |
| 0 | 8492 | 70 |
| 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))) |
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (-.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (*.f64 x (-.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (-.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)))) (-.f64 (*.f64 x (-.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)))) #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) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 3 binary64)))) (fma.f64 x (+.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 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)) (fma.f64 (neg.f64 x) (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.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)) (pow.f64 (-.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 #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) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.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 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.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 (pow.f64 (-.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)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) 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)) (fma.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) 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 (fma.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (neg.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
(/.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))) (fma.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) 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 (fma.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
(/.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 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) |
(/.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) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (/.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 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 x (-.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.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) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 3 binary64)) #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) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (/.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 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 (/.f64 x (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 3 binary64)) #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 (fma.f64 (*.f64 (/.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 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 p #s(literal 4 binary64)) p))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 (*.f64 p x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (neg.f64 x) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.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) (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 1/2 binary64)) |
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(-.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))) |
(*.f64 (/.f64 x (sqrt.f64 (-.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64)) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (neg.f64 x) x (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) |
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal -4 binary64) (pow.f64 (*.f64 p x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x) #s(literal -1/2 binary64))) |
(*.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)))) |
(*.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)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) (neg.f64 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 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) x) |
(*.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))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (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 x (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 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))))) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) |
(/.f64 (/.f64 x (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 #s(literal -1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) x)) |
(/.f64 (pow.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 (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)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x)) |
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) x)) #s(literal -1 binary64))) |
Compiled 14 429 to 2 264 computations (84.3% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 391 | 10 | 401 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 392 | 10 | 402 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.7% | (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))) |
| 75.5% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)))))) | |
| ▶ | 5.9% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))))) |
| 51.0% | (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)))) | |
| ▶ | 27.0% | (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)))) |
| 12.3% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) x) (*.f64 p p)) (*.f64 x x)))) | |
| 18.2% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (*.f64 (/.f64 p x) (/.f64 p x)))) | |
| 36.7% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1 binary64))) | |
| ▶ | 54.9% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
| ▶ | 26.7% | #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 476 to 366 computations (23.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 p (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)) | |
| cost-diff | 0 | #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))) | |
| 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 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))))) | |
| cost-diff | 128 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 309 |
| 0 | 65 | 295 |
| 1 | 115 | 295 |
| 2 | 186 | 295 |
| 3 | 374 | 295 |
| 4 | 628 | 295 |
| 5 | 799 | 295 |
| 6 | 1073 | 295 |
| 7 | 1352 | 295 |
| 8 | 1839 | 295 |
| 9 | 3669 | 295 |
| 10 | 5533 | 295 |
| 11 | 7445 | 295 |
| 0 | 8036 | 293 |
| 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 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)))) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)) |
#s(literal -1 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) |
#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))) |
(/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)) |
(*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 p (sqrt.f64 #s(literal 2 binary64))) |
p |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 x) |
x |
| 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 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))))) |
(sqrt.f64 (fma.f64 #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)))) |
(fma.f64 #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))) |
(+.f64 #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)) |
#s(literal -1 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) |
#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))) |
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) |
(*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 p (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) p) |
p |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 x) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.38671875 | (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) | |
| accuracy | 0.46484375 | (*.f64 p (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 46.74482075853667 | #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))) | |
| accuracy | 0.0546875 | (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64)) | |
| accuracy | 0.20703125 | (/.f64 p (*.f64 x x)) | |
| accuracy | 6.704934077659575 | (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 | 46.60454294634573 | #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 | 0 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)))) | |
| accuracy | 6.671902211258905 | (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))) | |
| accuracy | 6.704934077659575 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))))) | |
| accuracy | 46.65439384863472 | #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)) | |
| accuracy | 6.704934077659575 | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) | |
| accuracy | 29.24547956730638 | #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64)) | |
| accuracy | 0.00390625 | (/.f64 x (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x)))) | |
| accuracy | 6.652720840910565 | (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 | 6.704934077659575 | (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 | 16.718330087796208 | (sqrt.f64 (fma.f64 (*.f64 p #s(literal 4 binary64)) p (*.f64 x x))) |
| 96.0ms | 192× | 0 | valid |
| 26.0ms | 32× | 2 | valid |
| 11.0ms | 16× | 3 | valid |
| 6.0ms | 16× | 1 | valid |
Compiled 585 to 80 computations (86.3% saved)
ival-sqrt: 34.0ms (40.3% of total)ival-mult: 19.0ms (22.5% of total)ival-neg: 9.0ms (10.7% of total)ival-div: 8.0ms (9.5% of total)ival-add: 8.0ms (9.5% of total)adjust: 5.0ms (5.9% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 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)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))))) |
(+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))) |
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 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) |
#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))) |
(/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)) |
(*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 p (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 p (*.f64 x x)) |
(neg.f64 x) |
| Outputs |
|---|
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 (/ (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 (/ (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)))))))) |
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)))))) |
(* -1 p) |
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) |
(* p (* (sqrt 1/2) (sqrt 2))) |
(* p (sqrt 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 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) (* 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 (* 1/2 (/ 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) (- (/ 1 (pow p 2)) (/ 1 (pow x 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 (* -1/4 (/ 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) (* -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 (* -1/2 (/ 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))) |
(+ (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 (* 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))))) |
(* 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)))) |
(+ (* 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) (* 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 (* 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 x 2)) |
(* -1 x) |
(+ 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 (/ (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 (+ (* -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 (+ 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))))))) |
(+ (* -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 (/ (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)))))) |
(* -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 (* 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 (/ (+ (* 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)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | 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)))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/ 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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (/ p (* x x)) (neg x)) |
| 13.0ms | 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)))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/ 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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (/ p (* x x)) (neg x)) |
| 6.0ms | 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)))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/ 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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (/ p (* x x)) (neg x)) |
| 4.0ms | 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)))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/ 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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (/ p (* x x)) (neg x)) |
| 3.0ms | 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)))))) (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))) (/ 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 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/ (* (* p (sqrt 2)) (sqrt 1/2)) (neg x)) (* (* p (sqrt 2)) (sqrt 1/2)) (* p (sqrt 2)) (/ p (* x x)) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 606 | 3349 |
| 1 | 1849 | 3197 |
| 2 | 6404 | 3147 |
| 0 | 8054 | 2928 |
| 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 (/ (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 (/ (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)))))))) |
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)))))) |
(* -1 p) |
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) |
(* p (* (sqrt 1/2) (sqrt 2))) |
(* p (sqrt 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 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) (* 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 (* 1/2 (/ 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) (- (/ 1 (pow p 2)) (/ 1 (pow x 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 (* -1/4 (/ 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) (* -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 (* -1/2 (/ 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))) |
(+ (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 (* 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))))) |
(* 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)))) |
(+ (* 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) (* 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 (* 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 x 2)) |
(* -1 x) |
(+ 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 (/ (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 (+ (* -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 (+ 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))))))) |
(+ (* -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 (/ (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)))))) |
(* -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 (* 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 (/ (+ (* 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)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #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 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.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 p (/.f64 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 (* -1 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (/.f64 (neg.f64 p) x) (/.f64 p 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 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.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 p (/.f64 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 (* -2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 p p) x) #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 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.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 #s(literal -20 binary64) (*.f64 p (/.f64 p (pow.f64 x #s(literal 6 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)) |
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 (pow.f64 x #s(literal 3 binary64)))) #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 (pow.f64 p #s(literal 4 binary64)) (fma.f64 (*.f64 p (/.f64 p (pow.f64 x #s(literal 5 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) 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 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)) (/.f64 (*.f64 p p) (sqrt.f64 #s(literal 2 binary64))) (*.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) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) (*.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 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (*.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 1/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.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 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))) (*.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 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 p p) 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 (/.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) 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) (pow.f64 x #s(literal 4 binary64)))) (*.f64 p p) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 p p) #s(literal 2 binary64)) |
(* -1 p) |
(neg.f64 p) |
(* -1 (/ (* p (* (sqrt 1/2) (sqrt 2))) x)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (neg.f64 p) x)) |
(* p (* (sqrt 1/2) (sqrt 2))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64))) |
(* p (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) p) |
(/ 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))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 x p) p) (/.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) (+ (* -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))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 x p) p) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) x (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 p #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (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 (+ (* -1/32 (/ (pow x 3) (pow p 3))) (* 1/4 (/ x p)))) |
(fma.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal -1/32 binary64) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #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 (*.f64 (*.f64 #s(literal -3/256 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 x (pow.f64 p #s(literal 5 binary64)))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal -1/32 binary64) (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(* 1/2 (/ x p)) |
(*.f64 (/.f64 x p) #s(literal 1/2 binary64)) |
(/ (+ (* -1/16 (/ (pow x 3) (pow p 2))) (* 1/2 x)) p) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) p) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (*.f64 #s(literal 1/2 binary64) 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) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) p) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (fma.f64 #s(literal 1/2 binary64) x (/.f64 (*.f64 (*.f64 x (pow.f64 x #s(literal 4 binary64))) #s(literal 3/256 binary64)) (pow.f64 p #s(literal 4 binary64))))) 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) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) p) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 (*.f64 #s(literal -3/256 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 x (pow.f64 p #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -3/256 binary64) (pow.f64 x #s(literal 4 binary64))) x) x) #s(literal 1/8 binary64) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 x (pow.f64 p #s(literal 6 binary64)))))) p) |
(* 2 p) |
(*.f64 #s(literal 2 binary64) p) |
(* p (+ 2 (* 1/4 (/ (pow x 2) (pow p 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) p) (*.f64 x (/.f64 x p)) #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 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/64 binary64) (pow.f64 p #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) (*.f64 x (/.f64 x p)) #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 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/64 binary64) (pow.f64 p #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 1/4 binary64) p) (*.f64 x (/.f64 x p)) (/.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 p #s(literal 6 binary64))))) p) |
(+ (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 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) p) #s(literal -1/32 binary64)) x (*.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 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) p) #s(literal -1/32 binary64)) x (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal 1/4 binary64))) x (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -3/64 binary64) (pow.f64 p #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 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 #s(literal -1/16 binary64) (pow.f64 (/.f64 x p) #s(literal 3 binary64)) (fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #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))))) |
(-.f64 (fma.f64 #s(literal -1/16 binary64) (pow.f64 (/.f64 x p) #s(literal 3 binary64)) (fma.f64 (/.f64 x p) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -3/256 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 x (pow.f64 p #s(literal 5 binary64))))) |
(* -1 (/ (pow p 2) (pow x 2))) |
(*.f64 (/.f64 (neg.f64 p) x) (/.f64 p x)) |
(* (pow p 2) (- (/ 1 (pow p 2)) (/ 1 (pow x 2)))) |
(fma.f64 (/.f64 (neg.f64 p) x) (/.f64 p x) #s(literal 1 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 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (*.f64 x (/.f64 x p)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/8 binary64))) 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))) |
(-.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 (fma.f64 (/.f64 #s(literal -1/2 binary64) p) (/.f64 (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 1/2 binary64))))) (neg.f64 p))) p)) |
(+ 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 #s(literal -1/32 binary64) p) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (*.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 #s(literal -1/2 binary64) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -3/256 binary64) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/32 binary64) p) (/.f64 (pow.f64 x #s(literal 3 binary64)) p) (*.f64 #s(literal 1/4 binary64) x))) p)) |
(* -1/2 (/ x p)) |
(*.f64 (/.f64 x p) #s(literal -1/2 binary64)) |
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(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 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)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (*.f64 p p)) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) p)) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)) (neg.f64 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)) |
(/.f64 (fma.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (*.f64 p p)) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) p) (/.f64 #s(literal -12 binary64) p))) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) p) p) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 p p) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (*.f64 #s(literal -64 binary64) (pow.f64 p #s(literal 8 binary64))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) p)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (*.f64 p p)) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) p))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p)) (neg.f64 x)) |
(/ (pow p 2) (pow x 2)) |
(*.f64 (/.f64 p x) (/.f64 p x)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (pow p 2)) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) x) (*.f64 p p)) (*.f64 x x)) |
(/ (+ (* 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)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) x) (fma.f64 p p (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* 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)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) p) p) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 p p) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x))) (fma.f64 p p (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal -1 binary64)) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1) |
(fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal -1 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))))) 1) |
(-.f64 (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p (*.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))))) #s(literal 1 binary64)) |
(* -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 (fma.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))) (neg.f64 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 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 4 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))) x 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)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) p)) (/.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 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)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) p)) (/.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (*.f64 p p)) (fma.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p (*.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64))))) (/.f64 (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 (/ (+ (* 1/4 (/ (* (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)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) p)) (/.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (*.f64 p p)) (fma.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p (*.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) p) (/.f64 #s(literal -12 binary64) p))) (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) p) p) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 p p) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -128 binary64) (pow.f64 p #s(literal 8 binary64))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) p)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) (*.f64 p p)) (fma.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p (*.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64))))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) p) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 x)) |
(* 2 (/ (pow p 2) (pow x 2))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x)) |
(/ (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 2))) (* 2 (pow p 2))) (pow x 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) x) (*.f64 (*.f64 #s(literal 2 binary64) p) p)) (*.f64 x x)) |
(/ (+ (* 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 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) x) (fma.f64 (*.f64 #s(literal 2 binary64) p) p (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p (*.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (*.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) (+.f64 (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) p) p) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 p p) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 (*.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 #s(literal -12 binary64) x))) (fma.f64 (*.f64 #s(literal 2 binary64) p) p (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p (*.f64 #s(literal 32 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 273 |
| 0 | 65 | 259 |
| 1 | 226 | 243 |
| 2 | 1271 | 241 |
| 0 | 8583 | 239 |
| 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)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64)))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))))) |
(+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 binary64))) |
#s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 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) |
#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))) |
(/.f64 (*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (neg.f64 x)) |
(*.f64 (*.f64 p (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 p (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 p (*.f64 x x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (pow.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 1/4 binary64)) (pow.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 1/4 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))) (/.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 (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 (pow.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)))) |
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(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (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))) (-.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))))))) |
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(/.f64 (pow.f64 (neg.f64 p) #s(literal 3 binary64)) (fma.f64 p p #s(literal 0 binary64))) |
(/.f64 (*.f64 (neg.f64 p) p) p) |
(/.f64 (*.f64 p p) (neg.f64 p)) |
(/.f64 (neg.f64 p) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 p (*.f64 (neg.f64 p) p))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 p p #s(literal 0 binary64)) (pow.f64 (neg.f64 p) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) p)) |
(/.f64 p #s(literal -1 binary64)) |
(neg.f64 p) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 p p #s(literal 0 binary64))) (/.f64 (pow.f64 p #s(literal 3 binary64)) (fma.f64 p p #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 p p) p)) |
(-.f64 #s(literal 0 binary64) p) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))) |
(+.f64 #s(literal 0 binary64) (neg.f64 p)) |
#s(approx (sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))) (/.f64 (neg.f64 p) x)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) p) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (neg.f64 x) p) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 p))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 p #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 p))) |
(*.f64 (/.f64 (neg.f64 p) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) p) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) x)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 p)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)) |
(*.f64 (/.f64 p x) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (pow.f64 p #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) p) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 p))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 p (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/2 binary64))))) |
(*.f64 (neg.f64 p) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 p x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 p) x)) |
(*.f64 p (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)))) |
(*.f64 p (/.f64 #s(literal -1 binary64) x)) |
(pow.f64 (/.f64 (neg.f64 x) p) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 p x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 p (*.f64 x x)) p (*.f64 #s(literal 0 binary64) (/.f64 p x))))) |
(/.f64 (*.f64 (/.f64 p x) (/.f64 (neg.f64 p) x)) (+.f64 #s(literal 0 binary64) (/.f64 p x))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 p) x) |
(/.f64 #s(literal -1 binary64) (/.f64 x p)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) p)) |
(/.f64 p (neg.f64 x)) |
(neg.f64 (/.f64 p x)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 p x)) |
(-.f64 #s(literal 0 binary64) (/.f64 p x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 x) p)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) x))) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))) |
(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 p) x)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) (sqrt.f64 #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (neg.f64 p)) |
(*.f64 #s(literal 1 binary64) p) |
(*.f64 p #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 p #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 p p) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 p) p) (neg.f64 p)) |
(neg.f64 (neg.f64 p)) |
(-.f64 #s(literal 0 binary64) (neg.f64 p)) |
(+.f64 #s(literal 0 binary64) p) |
p |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) p) |
(*.f64 p (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) p) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 x x) p) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) x) x)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) #s(literal 1 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)) |
(*.f64 (/.f64 p #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) x) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) #s(literal -1 binary64)) x) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 p)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 p x)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p) x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x x))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) (*.f64 x x))) |
(*.f64 (/.f64 (neg.f64 p) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (/.f64 p (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))) x)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 p (/.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/2 binary64)))) x)) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 p)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) x) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) x) (neg.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 p)) x)) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p)) (*.f64 x x))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 p)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) x)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) #s(literal -1 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (neg.f64 x))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) #s(literal -1 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) x)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) #s(literal -1 binary64)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (neg.f64 p) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 p x)) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) (/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) p) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (neg.f64 p))) |
(*.f64 (/.f64 p x) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 p x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 p x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 p x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 p) x)) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (pow.f64 p #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) p) |
(*.f64 (/.f64 (neg.f64 p) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 p) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 p (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 p) (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (neg.f64 p) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 x))) x)) |
(*.f64 (neg.f64 p) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(*.f64 (neg.f64 p) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x x) p)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 p) x) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 p (*.f64 (neg.f64 x) x))) |
(*.f64 #s(literal 1 binary64) (/.f64 p (*.f64 x x))) |
(*.f64 p (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 (/.f64 (*.f64 x x) p) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (*.f64 x x) p) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (/.f64 p (*.f64 (neg.f64 x) x)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 p (*.f64 (neg.f64 x) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (*.f64 x x) p) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 p (*.f64 (neg.f64 x) x)))))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 p) x)) x) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (neg.f64 x) x) p)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))) |
(/.f64 (/.f64 p x) x) |
(/.f64 (/.f64 (neg.f64 p) x) (neg.f64 x)) |
(/.f64 (neg.f64 p) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) p))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) p)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) p)) |
(/.f64 p (*.f64 x x)) |
(neg.f64 (/.f64 p (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 p x) (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 p (*.f64 (neg.f64 x) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) p)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 p (*.f64 x x))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (neg.f64 x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 x x) (neg.f64 x)) |
(/.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 22 161 to 2 618 computations (88.2% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 608 | 6 | 614 |
| Fresh | 5 | 0 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 616 | 8 | 624 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 78.7% | (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))) |
| ▶ | 75.5% | (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ▶ | 51.0% | (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)))) |
| ✓ | 54.9% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
| ▶ | 27.4% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))) |
| 25.9% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x))) | |
| ▶ | 27.0% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) |
| ▶ | 36.7% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
Compiled 340 to 249 computations (26.8% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 p p) x) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 x p) | |
| cost-diff | 0 | (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (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)))) | |
| 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 | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)) | |
| cost-diff | 0 | (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) | |
| cost-diff | 0 | (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 270 |
| 0 | 54 | 270 |
| 1 | 93 | 270 |
| 2 | 143 | 270 |
| 3 | 196 | 270 |
| 4 | 224 | 270 |
| 5 | 239 | 270 |
| 6 | 314 | 270 |
| 7 | 373 | 270 |
| 8 | 414 | 270 |
| 9 | 487 | 270 |
| 10 | 605 | 270 |
| 11 | 836 | 270 |
| 12 | 1328 | 270 |
| 13 | 2235 | 270 |
| 14 | 3352 | 270 |
| 15 | 4074 | 270 |
| 16 | 4478 | 270 |
| 17 | 4677 | 270 |
| 18 | 4763 | 270 |
| 19 | 4789 | 270 |
| 20 | 4813 | 270 |
| 21 | 4813 | 270 |
| 22 | 4813 | 270 |
| 23 | 4893 | 270 |
| 24 | 5009 | 270 |
| 25 | 5057 | 270 |
| 26 | 5057 | 270 |
| 27 | 5057 | 270 |
| 28 | 5081 | 270 |
| 29 | 5293 | 270 |
| 30 | 5293 | 270 |
| 31 | 5421 | 270 |
| 32 | 6239 | 270 |
| 33 | 6239 | 270 |
| 0 | 6239 | 256 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) |
x |
#s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(*.f64 p p) |
p |
#s(literal 1/2 binary64) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
#s(literal 1 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 (+ (* (/ 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)))) |
#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))) |
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 x p) |
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)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(/.f64 (*.f64 p p) x) |
(*.f64 p p) |
p |
#s(literal 1 binary64) |
| Outputs |
|---|
(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(sqrt.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) x #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) x #s(literal 1/2 binary64)) |
(/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) |
(/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) |
x |
#s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)) |
#s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x) |
(fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
(*.f64 p p) |
p |
#s(literal 1/2 binary64) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
#s(literal 1 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 (+ (* (/ 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 (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) |
#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))) |
#s(approx (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) |
(/.f64 x p) |
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)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 (*.f64 p p) x) (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 p p) x) (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
(/.f64 (*.f64 p p) x) |
(*.f64 p p) |
p |
#s(literal 1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 p p) | |
| accuracy | 2.860757483925363 | (/.f64 (*.f64 p p) x) | |
| accuracy | 3.070075104212194 | (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)) | |
| accuracy | 46.44084718697208 | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 x p) | |
| accuracy | 0.00390625 | (fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 6.704934077659575 | (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)))) | |
| accuracy | 31.322296222840883 | #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))) | |
| accuracy | 0 | (/.f64 (neg.f64 p) x) | |
| accuracy | 0 | (neg.f64 p) | |
| accuracy | 46.74482075853667 | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) | |
| accuracy | 40.512976109109545 | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) | |
| accuracy | 1.4408000831734655 | (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x) | |
| accuracy | 6.652720840910565 | (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| accuracy | 6.704934077659575 | (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) | |
| accuracy | 45.966963316867094 | #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)) |
| 54.0ms | 192× | 0 | valid |
| 17.0ms | 32× | 2 | valid |
| 9.0ms | 16× | 3 | valid |
| 5.0ms | 16× | 1 | valid |
Compiled 479 to 69 computations (85.6% saved)
ival-mult: 26.0ms (44.6% of total)ival-div: 13.0ms (22.3% of total)ival-add: 7.0ms (12% of total)adjust: 5.0ms (8.6% of total)ival-sqrt: 5.0ms (8.6% of total)exact: 1.0ms (1.7% of total)ival-neg: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) |
#s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)) |
#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)) (/.f64 (neg.f64 p) x)) |
(/.f64 (neg.f64 p) x) |
(neg.f64 p) |
(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)))) |
#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))) |
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 x p) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 (*.f64 p p) x) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x) |
(*.f64 p p) |
| Outputs |
|---|
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 (/ (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 (/ (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))))) |
(* -1 (/ p x)) |
(* -1 p) |
(* 1/4 (/ x p)) |
(/ (+ (* 1/4 x) (* 1/2 p)) p) |
(/ x p) |
(/ (pow p 2) x) |
(pow p 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))))))) |
(* -1/2 (/ (pow p 2) (pow x 2))) |
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2))))) |
(* 2 (/ (pow p 2) x)) |
(* (pow p 2) (+ (* 2 (/ 1 x)) (/ x (pow p 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 (* -1/4 (/ 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) (* 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 (* 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))))) |
(* 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)))) |
(+ (* 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))))) |
(/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2)) |
(/ -1/2 x) |
(/ (+ (* 2 (pow p 2)) (pow x 2)) x) |
(+ 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 (/ (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 (+ (* -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 (+ 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 (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 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 (* x (- (* -2 (/ (pow p 2) (pow x 2))) 1))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | 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 (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (+ (* (/ 2 x) (* p p)) x) (* p p)) |
| 3.0ms | 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 (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (+ (* (/ 2 x) (* p p)) x) (* p p)) |
| 3.0ms | 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 (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (+ (* (/ 2 x) (* p p)) x) (* p p)) |
| 2.0ms | 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 (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (+ (* (/ 2 x) (* p p)) x) (* p p)) |
| 2.0ms | 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 (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (neg p) x) (neg p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2) (+ (* (/ x p) 1/4) 1/2) (/ x p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (+ (* (/ -1/2 x) (/ (* p p) x)) 1) (/ -1/2 x) (/ (* p p) x) (+ (* (/ 2 x) (* p p)) x) (* p p)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 443 | 2119 |
| 1 | 1300 | 2071 |
| 2 | 4181 | 2006 |
| 0 | 8032 | 1858 |
| 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 (/ (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 (/ (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))))) |
(* -1 (/ p x)) |
(* -1 p) |
(* 1/4 (/ x p)) |
(/ (+ (* 1/4 x) (* 1/2 p)) p) |
(/ x p) |
(/ (pow p 2) x) |
(pow p 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))))))) |
(* -1/2 (/ (pow p 2) (pow x 2))) |
(* (pow p 2) (- (/ 1 (pow p 2)) (* 1/2 (/ 1 (pow x 2))))) |
(* 2 (/ (pow p 2) x)) |
(* (pow p 2) (+ (* 2 (/ 1 x)) (/ x (pow p 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 (* -1/4 (/ 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) (* 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 (* 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))))) |
(* 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)))) |
(+ (* 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))))) |
(/ (+ (* -1/2 (pow p 2)) (pow x 2)) (pow x 2)) |
(/ -1/2 x) |
(/ (+ (* 2 (pow p 2)) (pow x 2)) x) |
(+ 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 (/ (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 (+ (* -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 (+ 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 (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 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 (* x (- (* -2 (/ (pow p 2) (pow x 2))) 1))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) p) x) (/.f64 p x) #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 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.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 p (/.f64 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 (* -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))))) |
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x |
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(fma.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 p p) #s(literal 1/2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 11/4 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal -1/2 binary64) (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 6 binary64))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 11/4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) p) x) (/.f64 p x) #s(literal 1 binary64))) |
(+ 1 (+ (* -1 (/ (pow p 2) (pow x 2))) (* -1/4 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) |
(+.f64 (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) |
(+ 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)))))) |
(fma.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 p p) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1/4 binary64) (fma.f64 (neg.f64 p) (/.f64 p (*.f64 x x)) #s(literal 1 binary64))) |
(+ 1 (+ (* -2 (/ (pow p 2) (pow x 2))) (* -1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))))) |
(fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) x) (/.f64 p x) #s(literal 1 binary64))) |
(+ 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)))))) |
(fma.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 p p) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) x) (/.f64 p x) #s(literal 1 binary64))) |
(* x (+ 1 (* 2 (/ (pow p 2) (pow x 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)) x) |
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))))) |
(*.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 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))) x) |
(* x (+ 1 (+ (* -2 (/ (pow p 4) (pow x 4))) (+ (* 2 (/ (pow p 2) (pow x 2))) (* 4 (/ (pow p 6) (pow x 6))))))) |
(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 #s(literal 2 binary64) p) x) (/.f64 p x) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))) x x) |
(* x (+ (* 1/4 (/ 1 p)) (* 1/2 (/ 1 x)))) |
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x)) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) (neg.f64 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)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) p) (/.f64 (*.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) p) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) p)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p)) (neg.f64 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)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) p) (+.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) p) (/.f64 (*.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) p) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 (/.f64 #s(literal -12 binary64) p) (/.f64 (pow.f64 p #s(literal 4 binary64)) p))) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 p p) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 p p)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (*.f64 #s(literal -64 binary64) (pow.f64 p #s(literal 8 binary64))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) p) (/.f64 (*.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) p) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p)) (neg.f64 x)) |
(/ (pow p 2) (pow x 2)) |
(*.f64 (/.f64 p x) (/.f64 p x)) |
(/ (+ (* 1/4 (/ (+ (* -16 (pow p 4)) (* 4 (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 1/4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (*.f64 p p)) (*.f64 x x)) |
(/ (+ (* 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)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/4 binary64)) x) (/.f64 #s(literal -12 binary64) x) (fma.f64 p p (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
(/ (+ (* 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)) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 #s(literal -12 binary64) x) (/.f64 (pow.f64 p #s(literal 4 binary64)) x) (/.f64 (fma.f64 (pow.f64 p #s(literal 8 binary64)) #s(literal -256 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 p p) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (*.f64 p p)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 p p (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) #s(literal 1/2 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x)) |
-1 |
#s(literal -1 binary64) |
(- (* 2 (/ (pow p 2) (pow x 2))) 1) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal -1 binary64)) |
(- (+ (* 1/2 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (pow x 4))) (* 2 (/ (pow p 2) (pow x 2)))) 1) |
(fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal -1 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))))) 1) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 p #s(literal 4 binary64)) (/.f64 #s(literal -12 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64)))) (*.f64 p p) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal -1 binary64))) |
(* -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 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 p p) 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 #s(literal 2 binary64) p) x) (/.f64 p x) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))) x x)) |
(* -1 (* x (- (* -2 (/ (pow p 2) (pow x 2))) 1))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) p) x) (/.f64 p x) #s(literal -1 binary64)) (neg.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 249 |
| 0 | 54 | 249 |
| 1 | 209 | 249 |
| 2 | 1436 | 249 |
| 0 | 8375 | 235 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) |
#s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)) |
#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)) (/.f64 (neg.f64 p) x)) |
(/.f64 (neg.f64 p) x) |
(neg.f64 p) |
(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)))) |
#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))) |
(fma.f64 (/.f64 x p) #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 x p) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 (*.f64 p p) x) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x) |
(*.f64 p p) |
| Outputs |
|---|
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x)) x) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x)) x) #s(literal -3 binary64)) #s(literal 1/8 binary64) #s(literal 1/8 binary64))) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (/.f64 #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x)) x) #s(literal -2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal 1/4 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x)))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))))) (sqrt.f64 #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (+.f64 (log1p.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x)))) (log.f64 #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) 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 #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
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(/.f64 (neg.f64 (*.f64 (*.f64 p p) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 p) p)) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 p p) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x p) p))) |
(/.f64 (*.f64 (neg.f64 p) p) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 p p) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 x p) p)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x p) p)) |
(/.f64 (*.f64 p p) x) |
(neg.f64 (/.f64 (*.f64 (neg.f64 p) p) x)) |
(neg.f64 (/.f64 (*.f64 p p) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 p p) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x p) p)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (/.f64 x p) p) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x))) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (/.f64 x p) p) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x))) (*.f64 (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x)) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (/.f64 x p) p) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (/.f64 x p) p) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x)))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (/.f64 x p) p) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) x)))) |
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (/.f64 x p) p) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64)) (*.f64 x (-.f64 x (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) x))) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (/.f64 x p) p) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x))) |
(fma.f64 (/.f64 (*.f64 p p) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x) x) |
(fma.f64 (/.f64 (*.f64 p p) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 p #s(literal 1/2 binary64)) (/.f64 p x) x) |
(fma.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) p) p x) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 p p) #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 p x) (/.f64 p #s(literal 1/2 binary64)) x) |
(fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) x) |
(fma.f64 (*.f64 p p) (/.f64 #s(literal 2 binary64) x) x) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 p p) x) x) |
(fma.f64 p (*.f64 (/.f64 #s(literal 2 binary64) x) p) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64) (neg.f64 x)))) |
(+.f64 (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64)) x) |
(+.f64 x (*.f64 (/.f64 (*.f64 p p) x) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (log.f64 p)) (exp.f64 (log.f64 p))) |
(*.f64 (neg.f64 p) (neg.f64 p)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 p) #s(literal 2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 p p)) |
(*.f64 p p) |
(pow.f64 (exp.f64 (log.f64 p)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 p p) #s(literal 1 binary64)) |
(pow.f64 p #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 p) #s(literal 2 binary64))) |
Compiled 15 971 to 1 885 computations (88.2% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 423 | 2 | 425 |
| Fresh | 1 | 0 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 424 | 9 | 433 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 78.7% | (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))) |
| ✓ | 75.5% | (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | 51.0% | (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)))) |
| ✓ | 54.9% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
| ✓ | 27.4% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))) |
| ▶ | 25.9% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) (neg.f64 x))) |
| ▶ | 17.5% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) x)) |
| ✓ | 27.0% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) |
| ✓ | 36.7% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
Compiled 217 to 160 computations (26.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) (neg.f64 x))) | |
| cost-diff | 320 | (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) | |
| cost-diff | 704 | (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) x)) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) p) | |
| cost-diff | 448 | (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p)) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 169 |
| 0 | 48 | 153 |
| 1 | 90 | 153 |
| 2 | 207 | 135 |
| 3 | 542 | 135 |
| 4 | 1350 | 133 |
| 5 | 4097 | 125 |
| 6 | 6739 | 125 |
| 0 | 8045 | 120 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p)) |
(+.f64 #s(literal 0 binary64) p) |
#s(literal 0 binary64) |
p |
(*.f64 (neg.f64 p) p) |
(neg.f64 p) |
x |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) (neg.f64 x))) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) (neg.f64 x)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) |
#s(literal 1/8 binary64) |
(pow.f64 p #s(literal 4 binary64)) |
p |
#s(literal 4 binary64) |
(/.f64 #s(literal -12 binary64) (*.f64 x x)) |
#s(literal -12 binary64) |
(*.f64 x x) |
x |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) x)) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) x) |
(/.f64 (neg.f64 p) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) |
(neg.f64 p) |
#s(literal 1 binary64) |
(/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p)) |
(/.f64 #s(literal -1 binary64) p) |
(+.f64 #s(literal 0 binary64) p) |
p |
#s(literal 0 binary64) |
p |
(*.f64 (neg.f64 p) p) |
(neg.f64 p) |
x |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) (neg.f64 x))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)) p) (neg.f64 x))) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) (neg.f64 x)) |
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)) p) (neg.f64 x)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) |
(fma.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 x x)) p) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) |
(*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) |
(*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
(pow.f64 p #s(literal 4 binary64)) |
p |
#s(literal 4 binary64) |
(/.f64 #s(literal -12 binary64) (*.f64 x x)) |
#s(literal -12 binary64) |
(*.f64 x x) |
x |
(neg.f64 x) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2734375 | (/.f64 #s(literal -12 binary64) (*.f64 x x)) | |
| accuracy | 2.424821955290121 | (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) | |
| accuracy | 6.41048105388531 | (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) | |
| accuracy | 46.87665397213758 | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) (neg.f64 x))) | |
| accuracy | 0 | (neg.f64 p) | |
| accuracy | 0.17578125 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) | |
| accuracy | 31.129759392514767 | (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p)) | |
| accuracy | 46.74482075853667 | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) x)) |
| 41.0ms | 192× | 0 | valid |
| 19.0ms | 16× | 3 | valid |
| 12.0ms | 31× | 2 | valid |
| 5.0ms | 17× | 1 | valid |
Compiled 311 to 67 computations (78.5% saved)
ival-mult: 13.0ms (24.6% of total)ival-div: 12.0ms (22.7% of total)adjust: 8.0ms (15.2% of total)ival-sqrt: 7.0ms (13.3% of total)ival-add: 7.0ms (13.3% of total)ival-pow: 3.0ms (5.7% of total)ival-neg: 2.0ms (3.8% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) |
(/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p)) |
(+.f64 #s(literal 0 binary64) p) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) x)) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) (neg.f64 x))) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) (neg.f64 x)) |
(neg.f64 p) |
(/.f64 #s(literal -12 binary64) (*.f64 x x)) |
| Outputs |
|---|
(* -1 p) |
(/ -1 p) |
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)))))) |
(* 1/8 (pow p 3)) |
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2))))) |
(* -1 (/ p x)) |
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x))) |
(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))))))) |
(* -3/2 (/ (pow p 3) (pow x 2))) |
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2))))) |
(* 3/2 (/ (pow p 3) (pow x 3))) |
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x)))) |
(+ (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 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2))))) |
(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3)))))) |
(+ (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))))))) |
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2)) |
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3)) |
(/ -12 (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)))))) |
(+ p (* -3/2 (/ (pow p 3) (pow x 2)))) |
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) 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 (* -3/2 (/ (pow p 3) (pow x 2)))) x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | x | @ | 0 | ((/ 1 (/ (+ 0 p) (* (neg p) p))) (/ (+ 0 p) (* (neg p) p)) (+ 0 p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (* 1/8 (pow p 4)) p) (+ (* (/ (* 1/8 (pow p 4)) p) (/ -12 (* x x))) p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (+ (* (/ (* 1/8 (pow p 4)) p) (/ -12 (* x x))) p) (neg x)) (neg p) (/ -12 (* x x))) |
| 17.0ms | x | @ | inf | ((/ 1 (/ (+ 0 p) (* (neg p) p))) (/ (+ 0 p) (* (neg p) p)) (+ 0 p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (* 1/8 (pow p 4)) p) (+ (* (/ (* 1/8 (pow p 4)) p) (/ -12 (* x x))) p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (+ (* (/ (* 1/8 (pow p 4)) p) (/ -12 (* x x))) p) (neg x)) (neg p) (/ -12 (* x x))) |
| 7.0ms | p | @ | -inf | ((/ 1 (/ (+ 0 p) (* (neg p) p))) (/ (+ 0 p) (* (neg p) p)) (+ 0 p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (* 1/8 (pow p 4)) p) (+ (* (/ (* 1/8 (pow p 4)) p) (/ -12 (* x x))) p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (+ (* (/ (* 1/8 (pow p 4)) p) (/ -12 (* x x))) p) (neg x)) (neg p) (/ -12 (* x x))) |
| 2.0ms | p | @ | inf | ((/ 1 (/ (+ 0 p) (* (neg p) p))) (/ (+ 0 p) (* (neg p) p)) (+ 0 p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (* 1/8 (pow p 4)) p) (+ (* (/ (* 1/8 (pow p 4)) p) (/ -12 (* x x))) p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (+ (* (/ (* 1/8 (pow p 4)) p) (/ -12 (* x x))) p) (neg x)) (neg p) (/ -12 (* x x))) |
| 2.0ms | p | @ | 0 | ((/ 1 (/ (+ 0 p) (* (neg p) p))) (/ (+ 0 p) (* (neg p) p)) (+ 0 p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (* 1/8 (pow p 4)) p) (+ (* (/ (* 1/8 (pow p 4)) p) (/ -12 (* x x))) p) (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/ (+ (* (/ (* 1/8 (pow p 4)) p) (/ -12 (* x x))) p) (neg x)) (neg p) (/ -12 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 857 |
| 1 | 650 | 827 |
| 2 | 2235 | 775 |
| 3 | 7051 | 775 |
| 0 | 8053 | 729 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 p) |
(/ -1 p) |
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)))))) |
(* 1/8 (pow p 3)) |
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2))))) |
(* -1 (/ p x)) |
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x))) |
(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))))))) |
(* -3/2 (/ (pow p 3) (pow x 2))) |
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2))))) |
(* 3/2 (/ (pow p 3) (pow x 3))) |
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x)))) |
(+ (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 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2))))) |
(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3)))))) |
(+ (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))))))) |
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2)) |
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3)) |
(/ -12 (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)))))) |
(+ p (* -3/2 (/ (pow p 3) (pow x 2)))) |
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) 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 (* -3/2 (/ (pow p 3) (pow x 2)))) x)) |
| Outputs |
|---|
(* -1 p) |
(neg.f64 p) |
(/ -1 p) |
(/.f64 #s(literal -1 binary64) p) |
p |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (pow p 2) (pow x 2)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) p) x) (/.f64 p x) #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 #s(literal 11/8 binary64) (pow.f64 x #s(literal 4 binary64))) p) p (/.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 #s(literal -69/16 binary64) p) (/.f64 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)) |
(* 1/8 (pow p 3)) |
(*.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(* p (+ 1 (* -3/2 (/ (pow p 2) (pow x 2))))) |
(fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (pow.f64 p #s(literal 3 binary64)) x) p) |
(* -1 (/ p x)) |
(/.f64 (neg.f64 p) x) |
(* p (- (* 3/2 (/ (pow p 2) (pow x 3))) (/ 1 x))) |
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) 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))) |
(+ (sqrt 1/2) (+ (* -1/128 (/ (pow x 2) (* (pow p 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ x (* p (sqrt 1/2)))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x p) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal -1/64 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) (+ (* -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))))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 x p) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal -1/64 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) x (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 p #s(literal 3 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* -3/2 (/ (pow p 3) (pow x 2))) |
(*.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (pow.f64 p #s(literal 3 binary64)) x)) |
(* (pow p 3) (- (/ 1 (pow p 2)) (* 3/2 (/ 1 (pow x 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) p) p)) (pow.f64 p #s(literal 3 binary64))) |
(* 3/2 (/ (pow p 3) (pow x 3))) |
(*.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64)) |
(* (pow p 3) (- (* 3/2 (/ 1 (pow x 3))) (/ 1 (* (pow p 2) x)))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 p p) x)) (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 p #s(literal 3 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 (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) #s(literal 1/64 binary64) (*.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/8 binary64))) 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))) |
(-.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 (fma.f64 (*.f64 x (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal -1/64 binary64) (*.f64 (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))) (neg.f64 p))) p)) |
(* -1 (* (pow p 3) (- (* 3/2 (/ 1 (pow x 2))) (/ 1 (pow p 2))))) |
(*.f64 (-.f64 (/.f64 #s(literal -3/2 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) p) p)) (pow.f64 p #s(literal 3 binary64))) |
(* -1 (* (pow p 3) (- (/ 1 (* (pow p 2) x)) (* 3/2 (/ 1 (pow x 3)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 p p) x)) (/.f64 #s(literal -3/2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 p #s(literal 3 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 (/.f64 x p) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) #s(literal -1/64 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 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/32 binary64) (pow.f64 p #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal -1/64 binary64) (sqrt.f64 #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))) |
(/ (+ (* -3/2 (pow p 3)) (* p (pow x 2))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 p #s(literal 3 binary64)) (*.f64 (*.f64 x x) p)) x) x) |
(/ (+ (* -1 (* p (pow x 2))) (* 3/2 (pow p 3))) (pow x 3)) |
(/.f64 (*.f64 p (fma.f64 (neg.f64 x) x (*.f64 #s(literal 3/2 binary64) (*.f64 p p)))) (pow.f64 x #s(literal 3 binary64))) |
(/ -12 (pow x 2)) |
(/.f64 #s(literal -12 binary64) (*.f64 x x)) |
(+ 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))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) p) x) (/.f64 p x) (fma.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 11/4 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(+ 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)))))) |
(fma.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 p p) #s(literal 1/2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 11/4 binary64)) (fma.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal -16 binary64)))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 11/4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) p) x) (/.f64 p x) #s(literal 1 binary64))) |
(+ p (* -3/2 (/ (pow p 3) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -3/2 binary64) x) (/.f64 (pow.f64 p #s(literal 3 binary64)) x) p) |
(/ (+ (* -1 p) (* 3/2 (/ (pow p 3) (pow x 2)))) x) |
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x)) |
(* -1 (/ (+ p (* 1/8 (/ (+ (* -16 (pow p 4)) (* 4 (pow p 4))) (* p (pow x 2))))) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 p x)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) p) (neg.f64 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)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) p) (*.f64 (/.f64 (pow.f64 p #s(literal 8 binary64)) p) #s(literal 144 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1/2 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) p)) #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 p x)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) p)) (neg.f64 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)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) p) (+.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) p) (*.f64 (/.f64 (pow.f64 p #s(literal 8 binary64)) p) #s(literal 144 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1/2 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (/.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p)) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 p p) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 p p) (*.f64 (pow.f64 p #s(literal 6 binary64)) #s(literal 64 binary64))) (*.f64 (*.f64 #s(literal 144 binary64) (pow.f64 p #s(literal 8 binary64))) #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (*.f64 #s(literal -64 binary64) (pow.f64 p #s(literal 8 binary64))))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) p) (*.f64 (/.f64 (pow.f64 p #s(literal 8 binary64)) p) #s(literal 144 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) p) p) #s(literal 1/2 binary64) (*.f64 #s(literal 16 binary64) (pow.f64 p #s(literal 6 binary64))))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 p x)) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) x) p)) (neg.f64 x)) |
(* -1 (/ (+ p (* -3/2 (/ (pow p 3) (pow x 2)))) x)) |
(fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 131 |
| 0 | 48 | 117 |
| 1 | 198 | 100 |
| 2 | 1698 | 100 |
| 0 | 8540 | 96 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) |
(/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p)) |
(+.f64 #s(literal 0 binary64) p) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) x)) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) (neg.f64 x))) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) (neg.f64 x)) |
(neg.f64 p) |
(/.f64 #s(literal -12 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal -3 binary64))) #s(literal -1 binary64)) (pow.f64 p #s(literal -2 binary64))) |
(*.f64 (pow.f64 (pow.f64 p #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) p)) |
(*.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 p) #s(literal 3 binary64)) (pow.f64 p #s(literal -2 binary64))) |
(*.f64 (*.f64 (neg.f64 p) p) (pow.f64 p #s(literal -1 binary64))) |
(*.f64 (pow.f64 p #s(literal -1 binary64)) (*.f64 (neg.f64 p) p)) |
(*.f64 (*.f64 p p) (/.f64 #s(literal -1 binary64) p)) |
(*.f64 (pow.f64 p #s(literal 3 binary64)) (neg.f64 (pow.f64 p #s(literal -2 binary64)))) |
(*.f64 #s(literal -1 binary64) p) |
(*.f64 (/.f64 #s(literal -1 binary64) p) (pow.f64 (pow.f64 p #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) p) (*.f64 p p)) |
(*.f64 (neg.f64 p) #s(literal 1 binary64)) |
(*.f64 p #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 p)) |
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) p) (/.f64 #s(literal -1 binary64) p)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) p) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 p) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (neg.f64 p) #s(literal 3 binary64)) #s(literal 0 binary64)) (*.f64 p p)) |
(/.f64 (fma.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 0 binary64)) (*.f64 p p)) |
(/.f64 (pow.f64 (neg.f64 p) #s(literal 3 binary64)) (*.f64 p p)) |
(/.f64 (*.f64 (neg.f64 p) p) p) |
(/.f64 (pow.f64 p #s(literal -1 binary64)) (neg.f64 (pow.f64 p #s(literal -2 binary64)))) |
(/.f64 (*.f64 p p) (neg.f64 p)) |
(/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (neg.f64 p) p)) |
(/.f64 #s(literal -1 binary64) (pow.f64 p #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) p) (pow.f64 p #s(literal -2 binary64))) |
(/.f64 (neg.f64 p) #s(literal 1 binary64)) |
(/.f64 p #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) p)) |
(neg.f64 p) |
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal -3 binary64))) #s(literal -1 binary64)) (pow.f64 p #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (pow.f64 p #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) p) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 p) #s(literal 3 binary64)) (pow.f64 p #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 p) p) (pow.f64 p #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 p #s(literal -1 binary64)) (*.f64 (neg.f64 p) p) #s(literal 0 binary64)) |
(fma.f64 (*.f64 p p) (/.f64 #s(literal -1 binary64) p) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 p #s(literal 3 binary64)) (neg.f64 (pow.f64 p #s(literal -2 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) p #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) p) (pow.f64 (pow.f64 p #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) p) (*.f64 p p) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 p) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 p #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 p) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 p #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) p) (neg.f64 (pow.f64 p #s(literal -2 binary64))))) |
(-.f64 (neg.f64 p) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) p) |
(exp.f64 (log.f64 (neg.f64 p))) |
(+.f64 (neg.f64 p) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 p)) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 p) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal -3 binary64))) (*.f64 p p)) |
(*.f64 (pow.f64 p #s(literal -2 binary64)) (neg.f64 p)) |
(*.f64 (*.f64 (neg.f64 p) p) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 p) (*.f64 (neg.f64 p) p)))) |
(*.f64 (*.f64 (neg.f64 p) p) (pow.f64 p #s(literal -3 binary64))) |
(*.f64 (pow.f64 p #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (pow.f64 p #s(literal -2 binary64))) p) |
(*.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 p p) (*.f64 (neg.f64 p) p)))) |
(*.f64 (pow.f64 p #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 p) p) (*.f64 p p)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 p #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) p) #s(literal 1 binary64)) |
(*.f64 (neg.f64 p) (pow.f64 p #s(literal -2 binary64))) |
(*.f64 p (neg.f64 (pow.f64 p #s(literal -2 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) p)) |
(pow.f64 (/.f64 #s(literal -1 binary64) p) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 p) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 p #s(literal -1 binary64)) (pow.f64 p #s(literal -1 binary64)))) (pow.f64 p #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 p #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 p #s(literal -1 binary64)) (pow.f64 p #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 p #s(literal -1 binary64)))))) |
(/.f64 (pow.f64 p #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) p)) |
(/.f64 (pow.f64 (neg.f64 p) #s(literal 3 binary64)) (neg.f64 (*.f64 (*.f64 p p) (*.f64 (neg.f64 p) p)))) |
(/.f64 (pow.f64 (neg.f64 p) #s(literal 3 binary64)) (neg.f64 (*.f64 (*.f64 (neg.f64 p) p) (*.f64 p p)))) |
(/.f64 (*.f64 (neg.f64 p) p) (*.f64 (neg.f64 p) (*.f64 (neg.f64 p) p))) |
(/.f64 (*.f64 (neg.f64 p) p) (pow.f64 p #s(literal 3 binary64))) |
(/.f64 (pow.f64 p #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 p #s(literal -2 binary64))) (pow.f64 p #s(literal -1 binary64))) |
(/.f64 (*.f64 p p) (neg.f64 (*.f64 (neg.f64 p) (*.f64 (neg.f64 p) p)))) |
(/.f64 (*.f64 p p) (pow.f64 (neg.f64 p) #s(literal 3 binary64))) |
(/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 p) p) (*.f64 p p))) |
(/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 (*.f64 p p) (*.f64 (neg.f64 p) p))) |
(/.f64 #s(literal -1 binary64) p) |
(/.f64 (/.f64 #s(literal -1 binary64) p) #s(literal 1 binary64)) |
(/.f64 (neg.f64 p) (*.f64 p p)) |
(/.f64 p (*.f64 (neg.f64 p) p)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 p) (*.f64 (neg.f64 p) p)) (*.f64 (neg.f64 p) p))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 p p) (*.f64 (neg.f64 p) p)) (pow.f64 p #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 p) p) (*.f64 p p)) (pow.f64 p #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 p)) |
(neg.f64 (pow.f64 p #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 p #s(literal 3 binary64))) (pow.f64 p #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal -1 binary64) p) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) p) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 p #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 p #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 p)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) p))) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (pow.f64 p #s(literal -3 binary64))) (*.f64 p p))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) p)) |
(*.f64 (pow.f64 p #s(literal 1/2 binary64)) (pow.f64 p #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 p #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 p p)) |
(*.f64 (pow.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 p #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 p) #s(literal 3 binary64)) (neg.f64 (pow.f64 p #s(literal -2 binary64)))) |
(*.f64 (*.f64 (neg.f64 p) p) (/.f64 #s(literal -1 binary64) p)) |
(*.f64 (pow.f64 p #s(literal -1 binary64)) (*.f64 p p)) |
(*.f64 (*.f64 p p) (pow.f64 p #s(literal -1 binary64))) |
(*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 p #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 p)) |
(*.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 p #s(literal -3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) p) (*.f64 (neg.f64 p) p)) |
(*.f64 p #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) p) |
(pow.f64 (pow.f64 p #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 p #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 p #s(literal 3 binary64)) #s(literal 0 binary64)) (*.f64 p p)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 p) #s(literal 3 binary64))) (*.f64 p p)) |
(/.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 p) p))) (neg.f64 p)) |
(/.f64 (neg.f64 (pow.f64 p #s(literal 4 binary64))) (pow.f64 (neg.f64 p) #s(literal 3 binary64))) |
(/.f64 (pow.f64 (neg.f64 p) #s(literal 3 binary64)) (*.f64 (neg.f64 p) p)) |
(/.f64 (*.f64 (neg.f64 p) p) (neg.f64 p)) |
(/.f64 (*.f64 p p) p) |
(/.f64 (pow.f64 p #s(literal 3 binary64)) (*.f64 p p)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) p)) |
(/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 p #s(literal 3 binary64))) |
(/.f64 (neg.f64 p) #s(literal -1 binary64)) |
(/.f64 p #s(literal 1 binary64)) |
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(fma.f64 (pow.f64 (pow.f64 p #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) p) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 p) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 p) #s(literal 3 binary64)) (pow.f64 p #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 p) p) (pow.f64 p #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 p #s(literal -1 binary64)) (*.f64 (neg.f64 p) p) #s(literal 0 binary64)) |
(fma.f64 (*.f64 p p) (/.f64 #s(literal -1 binary64) p) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 p #s(literal 3 binary64)) (neg.f64 (pow.f64 p #s(literal -2 binary64))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) p #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) p) (pow.f64 (pow.f64 p #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) p) (*.f64 p p) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 p) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 p #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 p) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 p #s(literal -2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) p) (neg.f64 (pow.f64 p #s(literal -2 binary64))))) |
(-.f64 (neg.f64 p) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) p) |
(exp.f64 (log.f64 (neg.f64 p))) |
(+.f64 (neg.f64 p) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 p)) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (/.f64 #s(literal -12 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -12 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -12 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -12 binary64)) |
(*.f64 #s(literal 12 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal -12 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -12 binary64) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -12 binary64) (*.f64 x x))) |
(pow.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -12 binary64) x))) x) |
(/.f64 (neg.f64 (/.f64 #s(literal -12 binary64) x)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -12 binary64) x) x) |
(/.f64 #s(literal 12 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) |
(/.f64 #s(literal -12 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) |
(neg.f64 (*.f64 #s(literal 12 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) #s(literal -1 binary64))) |
Compiled 18 459 to 2 034 computations (89% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 455 | 2 | 457 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 7 | 7 |
| Total | 457 | 9 | 466 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 78.7% | (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))) |
| ✓ | 75.5% | (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
| ✓ | 51.0% | (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)))) |
| ✓ | 54.9% | (sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) #s(literal 1/2 binary64))) |
| ✓ | 27.4% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))) |
| 26.9% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) p)) x)) | |
| ✓ | 27.0% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (neg.f64 p) x)) |
| 26.6% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(approx (/ (+ (* (/ (* 1/8 (pow p 4)) p) (/ -12 (* x x))) p) (neg x)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x)))) | |
| ✓ | 36.7% | #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(literal 1 binary64)) |
Compiled 771 to 305 computations (60.4% 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)) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 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)))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) p)) x)) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 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)))))) (*.f64 (/.f64 p x) (/.f64 p x)))) |
#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))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) x)) |
(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) 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 #s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)))))) |
(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))))))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(approx (/ (+ (* (/ (* 1/8 (pow p 4)) p) (/ -12 (* x x))) p) (neg x)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x)))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (fma.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) p) p) (neg.f64 x))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 p #s(literal 4 binary64))) p) (/.f64 #s(literal -12 binary64) (*.f64 x x)) p) (neg.f64 x))) |
(sqrt.f64 #s(approx (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (*.f64 #s(literal -12 binary64) (pow.f64 p #s(literal 4 binary64))) x) (*.f64 p p)) (*.f64 x x)))) |
| Outputs |
|---|
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(approx (/ (+ (* (/ (* 1/8 (pow p 4)) p) (/ -12 (* x x))) p) (neg x)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x)))) |
(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))) |
7 calls:
| 15.0ms | (*.f64 (*.f64 #s(literal 4 binary64) p) p) |
| 11.0ms | x |
| 7.0ms | p |
| 6.0ms | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
| 5.0ms | (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 |
|---|---|---|
| 78.7% | 1 | p |
| 86.3% | 2 | x |
| 100.0% | 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))))))) |
| 100.0% | 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)))))) |
| 100.0% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| 100.0% | 2 | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
| 78.7% | 1 | (*.f64 (*.f64 #s(literal 4 binary64) p) p) |
Compiled 66 to 56 computations (15.2% 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)) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 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)))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) p)) x)) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 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)))))) (*.f64 (/.f64 p x) (/.f64 p x)))) |
#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))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) x)) |
(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) 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 #s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x)))))) |
(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))))))) |
| 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 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))) |
4 calls:
| 23.0ms | (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)))) |
| 4.0ms | (*.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)))))) |
| 4.0ms | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 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))))))) |
| 100.0% | 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)))))) |
| 100.0% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| 100.0% | 2 | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
Compiled 59 to 47 computations (20.3% 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)) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 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)))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) p)) x)) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 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)))))) (*.f64 (/.f64 p x) (/.f64 p x)))) |
#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))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) x)) |
(sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) 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 #s(approx (sqrt (+ (* (* 4 p) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) 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 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
4 calls:
| 4.0ms | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
| 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))))))) |
| 4.0ms | (*.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)))))) |
| 4.0ms | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 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))))))) |
| 99.2% | 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)))))) |
| 99.2% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| 99.2% | 2 | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
Compiled 59 to 47 computations (20.3% 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)) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 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)))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) p)) x)) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 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)))))) (*.f64 (/.f64 p x) (/.f64 p x)))) |
#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))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) p) (*.f64 (neg.f64 p) p))) x)) |
| 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)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))) |
4 calls:
| 18.0ms | (*.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)))))) |
| 4.0ms | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
| 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))))))) |
| 4.0ms | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 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))))))) |
| 99.9% | 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)))))) |
| 99.9% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| 99.9% | 3 | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
Compiled 59 to 47 computations (20.3% 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)) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 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)))) |
#s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) p)) x)) |
| 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:
| 3.0ms | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
| 3.0ms | (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))))))) |
| 3.0ms | (*.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)))))) |
| 3.0ms | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 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))))))) |
| 99.8% | 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)))))) |
| 99.8% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| 99.8% | 3 | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
Compiled 59 to 47 computations (20.3% 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)) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) #s(approx (/ x (sqrt (+ (* (* 4 p) p) (* x x)))) #s(literal -1 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 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))))))) |
| 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 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 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))))))) |
| 99.1% | 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)))))) |
| 99.1% | 3 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| 99.1% | 3 | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
Compiled 59 to 47 computations (20.3% 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:
| 2.0ms | x |
| 2.0ms | p |
| 2.0ms | (*.f64 (*.f64 #s(literal 4 binary64) p) p) |
| 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 | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.8% | 2 | p |
| 69.8% | 2 | (*.f64 (*.f64 #s(literal 4 binary64) p) p) |
| 58.4% | 2 | x |
| 75.4% | 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))))))) |
| 75.4% | 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)))))) |
| 75.4% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| 75.4% | 2 | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
Compiled 66 to 56 computations (15.2% 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 | (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))))))) |
| 1.0ms | (*.f64 (*.f64 #s(literal 4 binary64) p) p) |
| 1.0ms | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.7% | 1 | x |
| 36.7% | 1 | p |
| 36.7% | 1 | (*.f64 (*.f64 #s(literal 4 binary64) p) p) |
| 36.7% | 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))))))) |
| 36.7% | 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)))))) |
| 36.7% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))) |
| 36.7% | 1 | (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) |
Compiled 66 to 56 computations (15.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999999898 | -2.608258917334063e-13 |
Compiled 20 to 19 computations (5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999999898 | -2.608258917334063e-13 |
Compiled 20 to 19 computations (5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999999898 | -2.608258917334063e-13 |
Compiled 20 to 19 computations (5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9618798975439394e-5 | 0.9999999873015087 |
| 0.0ms | -0.9999999999999898 | -2.608258917334063e-13 |
Compiled 20 to 19 computations (5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9618798975439394e-5 | 0.9999999873015087 |
| 0.0ms | -0.9999999999999898 | -2.608258917334063e-13 |
Compiled 20 to 19 computations (5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.9618798975439394e-5 | 0.9999999873015087 |
| 0.0ms | -0.9999999999999898 | -2.608258917334063e-13 |
Compiled 20 to 19 computations (5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 2.9618798975439394e-5 | 0.9999999873015087 |
| 5.0ms | 128× | 0 | valid |
Compiled 324 to 283 computations (12.7% saved)
ival-add: 1.0ms (41.5% of total)ival-mult: 1.0ms (41.5% of total)ival-sqrt: 1.0ms (41.5% 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 553 |
| 1 | 99 | 553 |
| 2 | 105 | 553 |
| 3 | 110 | 553 |
| 4 | 113 | 553 |
| 5 | 114 | 553 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(approx (/ (+ (* (/ (* 1/8 (pow p 4)) p) (/ -12 (* x x))) p) (neg x)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x)))) (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)))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) 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)) (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)))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) 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)) (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #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 -1/2 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 7378697629483821/147573952589676412928 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)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) 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)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal 7378697629483821/147573952589676412928 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 -1/2 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 7378697629483821/147573952589676412928 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 8286623314361713/18014398509481984 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 -1/2 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(approx (/ (+ (* (/ (* 1/8 (pow p 4)) p) (/ -12 (* x x))) p) (neg x)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x)))) (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)))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -1/2 binary64)) #s(approx (sqrt (+ (* (/ x (sqrt (+ (* (* p 4) p) (* x x)))) 1/2) 1/2)) #s(approx (/ (+ (* (/ (* 1/8 (pow p 4)) p) (/ -12 (* x x))) p) (neg x)) (fma.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (/.f64 (neg.f64 p) x)))) (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)))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) 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)) (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)))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -1/2 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 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)))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) 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)) (sqrt.f64 (fma.f64 (/.f64 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #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 -1/2 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 x #s(approx (sqrt (+ (* (* p 4) p) (* x x))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 p p) x))) #s(literal 1/2 binary64) #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 -1/2 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 7378697629483821/147573952589676412928 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)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 p #s(literal 4 binary64)) p)))) #s(literal -1/2 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 7378697629483821/147573952589676412928 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)) (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 p p) x) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) 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)) (if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal 7378697629483821/147573952589676412928 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 -1/2 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 7378697629483821/147573952589676412928 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 -1/2 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 7378697629483821/147573952589676412928 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 -1/2 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 7378697629483821/147573952589676412928 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 8286623314361713/18014398509481984 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 8286623314361713/18014398509481984 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 857 |
| 1 | 650 | 827 |
| 2 | 2235 | 775 |
| 3 | 7051 | 775 |
| 0 | 8053 | 729 |
| 0 | 14 | 78 |
| 0 | 23 | 78 |
| 1 | 77 | 78 |
| 2 | 501 | 78 |
| 3 | 6967 | 78 |
| 0 | 8492 | 70 |
| 0 | 606 | 3349 |
| 1 | 1849 | 3197 |
| 2 | 6404 | 3147 |
| 0 | 8054 | 2928 |
| 0 | 472 | 2692 |
| 1 | 1444 | 2573 |
| 2 | 4984 | 2531 |
| 0 | 8537 | 2351 |
| 0 | 443 | 2119 |
| 1 | 1300 | 2071 |
| 2 | 4181 | 2006 |
| 0 | 8032 | 1858 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 515 to 555 computations (63.4% saved)
Compiled 1 324 to 330 computations (75.1% saved)
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