
Time bar (total: 10.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 19 to 11 computations (42.1% saved)
| 792.0ms | 2 841× | 2 | valid |
| 320.0ms | 4 237× | 0 | valid |
| 225.0ms | 1 178× | 1 | valid |
ival-hypot: 389.0ms (34.7% of total)ival-sqrt: 144.0ms (12.8% of total)ival-div: 143.0ms (12.7% of total)ival-mult: 142.0ms (12.7% of total)adjust: 134.0ms (11.9% of total)ival-sub: 79.0ms (7% of total)ival-add: 74.0ms (6.6% of total)exact: 7.0ms (0.6% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 4.0ms (0.4% of total)| 1× | egg-herbie |
| 36× | lower-+.f32 |
| 34× | lower-+.f64 |
| 28× | sub-neg |
| 26× | associate--r+ |
| 24× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 31 |
| 1 | 37 | 26 |
| 2 | 75 | 26 |
| 3 | 120 | 26 |
| 4 | 172 | 26 |
| 5 | 204 | 26 |
| 6 | 216 | 26 |
| 0 | 9 | 12 |
| 0 | 18 | 12 |
| 1 | 31 | 10 |
| 2 | 38 | 10 |
| 3 | 43 | 10 |
| 4 | 49 | 10 |
| 5 | 57 | 10 |
| 6 | 67 | 10 |
| 7 | 78 | 10 |
| 8 | 81 | 10 |
| 0 | 81 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 65 | 1 | (1.4262373922273299e-161) | 0 | - | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (hypot.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) | cancellation | 66 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 65 | 0 |
| - | 1 | 190 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 65 | 0 | 0 |
| - | 1 | 0 | 190 |
| number | freq |
|---|---|
| 0 | 190 |
| 1 | 66 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 46.0ms | 160× | 2 | valid |
| 35.0ms | 280× | 0 | valid |
| 17.0ms | 72× | 1 | valid |
Compiled 188 to 40 computations (78.7% saved)
ival-hypot: 25.0ms (33.9% of total)ival-add: 15.0ms (20.3% of total)adjust: 9.0ms (12.2% of total)ival-div: 7.0ms (9.5% of total)ival-sqrt: 7.0ms (9.5% of total)ival-mult: 6.0ms (8.1% of total)ival-sub: 5.0ms (6.8% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.8% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| ✓ | cost-diff | 320 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| ✓ | cost-diff | 5440 | (hypot.f64 #s(literal 1 binary64) x) |
| 36× | lower-+.f32 |
| 34× | lower-+.f64 |
| 18× | lower-fma.f64 |
| 18× | lower-fma.f32 |
| 18× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 49 |
| 0 | 18 | 49 |
| 1 | 31 | 43 |
| 2 | 38 | 43 |
| 3 | 43 | 43 |
| 4 | 49 | 43 |
| 5 | 57 | 43 |
| 6 | 67 | 43 |
| 7 | 78 | 43 |
| 8 | 81 | 43 |
| 0 | 81 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
(hypot.f64 #s(literal 1 binary64) x) |
x |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(hypot.f64 #s(literal 1 binary64) x) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 75.8% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 26.0ms | 80× | 2 | valid |
| 16.0ms | 140× | 0 | valid |
| 6.0ms | 36× | 1 | valid |
Compiled 81 to 11 computations (86.4% saved)
ival-hypot: 14.0ms (37.9% of total)ival-add: 7.0ms (18.9% of total)adjust: 3.0ms (8.1% of total)ival-div: 3.0ms (8.1% of total)ival-sub: 3.0ms (8.1% of total)ival-sqrt: 3.0ms (8.1% of total)ival-mult: 3.0ms (8.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (hypot.f64 #s(literal 1 binary64) x)> |
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))> |
#<alt (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))))> |
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))> |
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))> |
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ 1 x)))> |
#<alt (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))> |
#<alt (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))> |
#<alt 1/2> |
#<alt (- 1/2 (* 1/2 (/ 1 x)))> |
#<alt (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))> |
#<alt (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))> |
#<alt (- 1 (* (sqrt 1/2) (sqrt 2)))> |
#<alt (- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2)))> |
#<alt (- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))> |
#<alt (- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2)))> |
#<alt (- 1 (sqrt 1/2))> |
#<alt (- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))> |
#<alt (- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))))> |
#<alt (- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))> |
#<alt (- 1 (sqrt 1/2))> |
#<alt (- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2))> |
#<alt (* (sqrt 1/2) (sqrt 2))> |
#<alt (+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2)))> |
#<alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))))))> |
#<alt (+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))))))> |
#<alt (sqrt 1/2)> |
#<alt (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))> |
#<alt (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))> |
#<alt (+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))))> |
#<alt (sqrt 1/2)> |
#<alt (+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x)))> |
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x)))> |
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))> |
#<alt (/ 1 x)> |
#<alt (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))> |
#<alt 2> |
#<alt (+ 2 (* -1/2 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))> |
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))> |
#<alt 1> |
#<alt (+ 1 (/ 1 x))> |
#<alt (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))> |
#<alt (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))> |
#<alt 1> |
#<alt (- 1 (/ 1 x))> |
#<alt (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))> |
#<alt (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) |
| 0.0ms | x | @ | inf | (- 1 (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))))) |
| 0.0ms | x | @ | -inf | (/ 1 (sqrt (+ (* 1 1) (* x x)))) |
| 0.0ms | x | @ | 0 | (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x)))))) |
| 0.0ms | x | @ | inf | (sqrt (* 1/2 (+ 1 (/ 1 (sqrt (+ (* 1 1) (* x x))))))) |
| 1× | batch-egg-rewrite |
| 4 098× | lower-fma.f64 |
| 4 098× | lower-fma.f32 |
| 3 010× | lower-*.f32 |
| 3 008× | lower-*.f64 |
| 1 830× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 46 |
| 0 | 18 | 46 |
| 1 | 78 | 40 |
| 2 | 562 | 40 |
| 3 | 5208 | 40 |
| 0 | 8823 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(hypot.f64 #s(literal 1 binary64) x) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 (*.f64 x x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 x x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(hypot.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) (fma.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
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(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
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(exp.f64 (*.f64 (*.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x #s(literal 1 binary64))))) |
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) |
| 1× | egg-herbie |
| 12 216× | lower-fma.f64 |
| 12 216× | lower-fma.f32 |
| 5 034× | lower-*.f64 |
| 5 034× | lower-*.f32 |
| 2 790× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 232 | 991 |
| 1 | 674 | 917 |
| 2 | 1886 | 877 |
| 3 | 5894 | 834 |
| 0 | 8222 | 781 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
1/2 |
(+ 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3))) |
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3))) |
1/2 |
(- 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))) |
(- 1 (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(- 1 (sqrt 1/2)) |
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))) |
(- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(- 1 (sqrt 1/2)) |
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(* (sqrt 1/2) (sqrt 2)) |
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))) |
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))) |
(+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))) |
(/ 1 x) |
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x) |
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x) |
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x) |
(/ -1 x) |
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)) |
2 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))) |
1 |
(+ 1 (/ 1 x)) |
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3))) |
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3))) |
1 |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))) |
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(fma.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(+.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -5/32 binary64)) #s(literal 3/16 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)) |
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3))) |
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)) (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 5 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(- 1/2 (* 1/2 (/ 1 x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3/16 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) x)) |
(- 1 (* (sqrt 1/2) (sqrt 2))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) |
(- (+ 1 (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))) (* (sqrt 1/2) (sqrt 2))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(- (+ 1 (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(fma.f64 (*.f64 x x) (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) |
(- (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))))) (* -1/4 (/ (sqrt 1/2) (sqrt 2)))))) (* (sqrt 1/2) (sqrt 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) (/.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -11/32 binary64) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(- 1 (sqrt 1/2)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (+ 1 (* -1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(- (+ 1 (* 1/8 (/ (sqrt 1/2) (pow x 2)))) (+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(- (+ 1 (* 3/16 (/ (sqrt 1/2) (pow x 3)))) (+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) x) #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(- 1 (sqrt 1/2)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (+ 1 (* 1/2 (/ (sqrt 1/2) x))) (sqrt 1/2)) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (* -1 (/ (- (* -1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64)))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -3/16 (/ (sqrt 1/2) x)) (* -1/8 (sqrt 1/2))) x)) (* 1/2 (sqrt 1/2))) x))) (sqrt 1/2)) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 (/.f64 #s(literal -3/16 binary64) x) #s(literal 1/8 binary64)))) x) (sqrt.f64 #s(literal 1/2 binary64)))) |
(* (sqrt 1/2) (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))) |
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))) |
(fma.f64 (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (sqrt 1/2) (sqrt 2)) (* (pow x 2) (+ (* -1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (/.f64 #s(literal 69/256 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/2 (/ (sqrt 1/2) x))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x)))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (+ (* -3/16 (/ (sqrt 1/2) (pow x 3))) (+ (* -1/8 (/ (sqrt 1/2) (pow x 2))) (* 1/2 (/ (sqrt 1/2) x))))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) (/.f64 #s(literal -3/16 binary64) (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* -1/2 (/ (sqrt 1/2) x))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/8 (/ (sqrt 1/2) x)) (* 1/2 (sqrt 1/2))) x))) |
(fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt 1/2)) (* 3/16 (/ (sqrt 1/2) x))) x)) (* 1/2 (sqrt 1/2))) x))) |
(-.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (+.f64 (/.f64 #s(literal -3/16 binary64) x) #s(literal 1/8 binary64)))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/16 binary64) #s(literal 3/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x) |
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 3/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64))))) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) |
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) x) |
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)) |
(/.f64 (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64))))) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/8 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/16 binary64) #s(literal 3/8 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)) |
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 5 binary64)))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) |
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 3/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x)) |
Compiled 15 919 to 2 305 computations (85.5% saved)
21 alts after pruning (21 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 528 | 21 | 549 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 529 | 21 | 550 |
| Status | Accuracy | Program |
|---|---|---|
| 54.9% | (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) | |
| 53.1% | (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) | |
| 55.8% | (/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))) | |
| 76.6% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) | |
| 76.7% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 9/2 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| ▶ | 76.7% | (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
| ▶ | 54.6% | (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| 55.0% | (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) | |
| ▶ | 76.7% | (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| 53.8% | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))) | |
| ▶ | 23.2% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
| 22.7% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) | |
| 53.9% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))))) | |
| 75.8% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) | |
| 53.5% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) | |
| 54.5% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x #s(literal 1 binary64))))))))) | |
| 75.9% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))))) | |
| 54.7% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))))) | |
| 23.9% | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1 binary64))) | |
| ▶ | 53.9% | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
| 76.7% | (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) |
Compiled 1 494 to 524 computations (64.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| ✓ | cost-diff | 128 | (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| 5 138× | lower-fma.f32 |
| 5 132× | lower-fma.f64 |
| 2 188× | lower-*.f32 |
| 2 182× | lower-*.f64 |
| 1 564× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 405 |
| 0 | 60 | 403 |
| 1 | 100 | 403 |
| 2 | 201 | 401 |
| 3 | 367 | 401 |
| 4 | 558 | 401 |
| 5 | 802 | 401 |
| 6 | 1488 | 401 |
| 7 | 3483 | 401 |
| 8 | 5005 | 401 |
| 9 | 5682 | 401 |
| 10 | 5943 | 401 |
| 11 | 6175 | 401 |
| 12 | 6366 | 401 |
| 13 | 6575 | 401 |
| 14 | 7145 | 401 |
| 15 | 7553 | 401 |
| 16 | 7711 | 401 |
| 17 | 7833 | 401 |
| 18 | 7992 | 401 |
| 19 | 7992 | 401 |
| 20 | 7992 | 401 |
| 0 | 8164 | 399 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(literal -1/2 binary64) |
(+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
#s(literal -1 binary64) |
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) |
(*.f64 x #s(literal 3/16 binary64)) |
#s(literal 3/16 binary64) |
#s(literal -1/4 binary64) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
#s(literal -1 binary64) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
#s(literal 3/2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(literal -1/2 binary64) |
(+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
#s(literal -1 binary64) |
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) |
(*.f64 x #s(literal 3/16 binary64)) |
#s(literal 3/16 binary64) |
#s(literal -1/4 binary64) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(-.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3/2 binary64))) |
(+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3/2 binary64)) |
#s(literal 3/2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| ✓ | accuracy | 76.7% | (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| ✓ | accuracy | 73.5% | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | accuracy | 73.5% | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) |
| ✓ | accuracy | 88.0% | (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
| ✓ | accuracy | 76.6% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 98.4% | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
| ✓ | accuracy | 76.8% | (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 73.5% | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| 95.0ms | 80× | 2 | valid |
| 33.0ms | 140× | 0 | valid |
| 18.0ms | 36× | 1 | valid |
Compiled 450 to 37 computations (91.8% saved)
ival-add: 19.0ms (21.6% of total)ival-hypot: 17.0ms (19.3% of total)adjust: 13.0ms (14.8% of total)ival-div: 12.0ms (13.6% of total)ival-sqrt: 9.0ms (10.2% of total)ival-mult: 9.0ms (10.2% of total)ival-sub: 4.0ms (4.5% of total)ival-neg: 4.0ms (4.5% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))> |
#<alt (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))> |
#<alt (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))> |
#<alt (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))> |
#<alt (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))> |
#<alt (sqrt.f64 #s(literal 1/2 binary64))> |
#<alt (-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))> |
#<alt (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))> |
#<alt (*.f64 x x)> |
#<alt (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))> |
#<alt (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))> |
#<alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))> |
#<alt (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))> |
#<alt (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))> |
#<alt (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))> |
#<alt (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))> |
#<alt (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64))> |
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))> |
#<alt (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))> |
| Outputs |
|---|
#<alt -2> |
#<alt (- (* 1/8 (pow x 2)) 2)> |
#<alt (- (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) 2)> |
#<alt (- (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) 2)> |
#<alt (* -1 (+ 1 (sqrt 1/2)))> |
#<alt (* -1 (+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))))> |
#<alt (- (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))))> |
#<alt (- (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))))> |
#<alt (* -1 (+ 1 (sqrt 1/2)))> |
#<alt (- (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ 1 (sqrt 1/2)))> |
#<alt (- (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2)))) (+ 1 (sqrt 1/2)))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)) (+ 1 (sqrt 1/2)))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))> |
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))> |
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))> |
#<alt (+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))> |
#<alt (+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (+ (* 1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))))> |
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#<alt (* -1/4 (pow x 2))> |
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#<alt -1/2> |
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#<alt 1/2> |
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#<alt (/ 1/2 x)> |
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#<alt (* (pow x 2) (- (+ (* -1/16 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 6) (pow (sqrt 3/16) 3)))) (+ (/ 1/8 (* (pow x 2) (sqrt 3/16))) (/ 1 (pow x 2)))) (+ (sqrt 3/16) (* 1/2 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 4) (sqrt 3/16)))))))> |
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#<alt (* (pow x 2) (- (+ (* -1/16 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 6) (pow (sqrt 3/16) 3)))) (+ (/ 1/8 (* (pow x 2) (sqrt 3/16))) (/ 1 (pow x 2)))) (+ (sqrt 3/16) (* 1/2 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 4) (sqrt 3/16)))))))> |
#<alt 1> |
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#<alt (* (pow x 2) (- (+ (sqrt 3/16) (+ (* 1/16 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 6) (pow (sqrt 3/16) 3)))) (* 1/2 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 4) (sqrt 3/16)))))) (/ 1/8 (* (pow x 2) (sqrt 3/16)))))> |
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#<alt (* (pow x 2) (- (+ (sqrt 3/16) (+ (* 1/16 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 6) (pow (sqrt 3/16) 3)))) (* 1/2 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 4) (sqrt 3/16)))))) (/ 1/8 (* (pow x 2) (sqrt 3/16)))))> |
#<alt 1> |
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#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
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#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
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#<alt (- (+ (* -1 (/ (+ (* -1/32 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) (pow x 3))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))> |
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))> |
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#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/32 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* x (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* x (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1/4 (* x (+ 1 (sqrt 1/2)))))))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))> |
#<alt 1> |
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#<alt 1/2> |
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#<alt 1/2> |
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#<alt 1> |
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#<alt x> |
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#<alt (* -1 x)> |
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#<alt (- (+ (sqrt 1/8) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8)))))) 1)> |
#<alt (- (sqrt 1/8) 1)> |
#<alt (- (sqrt 1/8) (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8))))))> |
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#<alt (- (+ (sqrt 1/8) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x))) 1)> |
#<alt -3> |
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#<alt (- (* (pow x 2) (+ 3/8 (* -35/128 (pow x 2)))) 3)> |
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#<alt (- (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (+ 3/2 (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x))))))> |
#<alt (- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (pow x 3)))) (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))))))> |
#<alt (* -1 (+ 3/2 (sqrt 1/2)))> |
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#<alt (- (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))) (+ 3/2 (sqrt 1/2)))> |
#<alt (- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- 1/4 (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2)))) x)) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) x)) (+ 3/2 (sqrt 1/2)))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))> |
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))> |
#<alt (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2))))> |
#<alt (+ (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2)))) (* -1 (/ (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2))) x)))> |
#<alt (+ (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2)))) (+ (* -1 (/ (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2))) x)) (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2))))) (pow x 2)))))> |
#<alt (+ (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2)))) (+ (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2))))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))))) (+ 3/2 (sqrt 1/2))) (/ (* (- (sqrt 1/8) 1) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow (+ 3/2 (sqrt 1/2)) 2))))) (pow x 3))) (+ (* -1 (/ (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2))) x)) (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2))))) (pow x 2))))))> |
#<alt (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2))))> |
#<alt (- (+ (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2)))) (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (* x (pow (+ 3/2 (sqrt 1/2)) 2))))> |
#<alt (+ (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2)))) (* -1 (/ (- (+ (* -1 (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* x (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* x (+ 3/2 (sqrt 1/2)))))) x)))> |
#<alt (+ (* -1 (/ (+ (* -1 (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))))) (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))) (+ (* -1/32 (/ (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2))) (* x (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2)))))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))))) (* x (+ 3/2 (sqrt 1/2)))) (/ (* (- (sqrt 1/8) 1) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* x (pow (+ 3/2 (sqrt 1/2)) 2)))))) x))) x)) (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2)))))> |
#<alt 1> |
#<alt (+ 1 (* -3/8 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8)))> |
#<alt (sqrt 1/8)> |
#<alt (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))> |
#<alt (+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8)))))> |
#<alt (+ (sqrt 1/8) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))))> |
#<alt (sqrt 1/8)> |
#<alt (- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8)))))> |
#<alt (+ (sqrt 1/8) (* -1 (/ (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x)))> |
#<alt (+ (sqrt 1/8) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x)))> |
#<alt -1/4> |
#<alt (- (* 3/16 (pow x 2)) 1/4)> |
#<alt (- (* 3/16 (pow x 2)) 1/4)> |
#<alt (- (* 3/16 (pow x 2)) 1/4)> |
#<alt (* 3/16 (pow x 2))> |
#<alt (* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (* 3/16 (pow x 2))> |
#<alt (* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1/8 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))> |
#<alt (sqrt 1/2)> |
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))> |
#<alt (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))> |
#<alt (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))> |
#<alt (sqrt 1/2)> |
#<alt (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))> |
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))> |
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))> |
#<alt 2> |
#<alt (+ 2 (* -1/8 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))> |
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))> |
#<alt (+ 1 (sqrt 1/2))> |
#<alt (+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))> |
#<alt (- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))> |
#<alt (- (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))> |
#<alt (+ 1 (sqrt 1/2))> |
#<alt (- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2)))))> |
#<alt (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))))> |
#<alt (+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))))> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | (/ (+ (/ 1/2 (sqrt (+ (* x x) 1))) -1/2) (+ -1 (neg (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))))))) |
| 3.0ms | x | @ | inf | (/ (+ -1 (* (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) (neg (+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))) (+ 3/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) |
| 1.0ms | x | @ | inf | (- 1 (sqrt (+ (* (* x x) (+ (* x (* x 3/16)) -1/4)) 1))) |
| 1.0ms | x | @ | inf | (/ (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) |
| 1.0ms | x | @ | -inf | (/ (+ -1 (* (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) (neg (+ (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))) (+ 3/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) |
| 1× | batch-egg-rewrite |
| 4 772× | lower-*.f32 |
| 4 766× | lower-*.f64 |
| 4 314× | lower-/.f32 |
| 4 306× | lower-/.f64 |
| 3 148× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 269 |
| 0 | 60 | 267 |
| 1 | 270 | 240 |
| 2 | 2193 | 239 |
| 0 | 8763 | 239 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 x x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
| Outputs |
|---|
(+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(+.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64)) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64) #s(literal -1 binary64)) |
(neg.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
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(fma.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) #s(literal 1 binary64)) |
(neg.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))) |
(/.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) (neg.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) |
| 1× | egg-herbie |
| 6 184× | lower-fma.f64 |
| 6 184× | lower-fma.f32 |
| 4 440× | lower-*.f64 |
| 4 440× | lower-*.f32 |
| 3 978× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 643 | 4981 |
| 1 | 2022 | 4367 |
| 2 | 7078 | 4348 |
| 0 | 8088 | 4176 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-2 |
(- (* 1/8 (pow x 2)) 2) |
(- (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) 2) |
(- (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) 2) |
(* -1 (+ 1 (sqrt 1/2))) |
(* -1 (+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))) |
(- (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))) |
(- (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))) |
(* -1 (+ 1 (sqrt 1/2))) |
(- (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ 1 (sqrt 1/2))) |
(- (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2)))) (+ 1 (sqrt 1/2))) |
(- (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)) (+ 1 (sqrt 1/2))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))) |
(/ 1/2 (+ 1 (sqrt 1/2))) |
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (+ (* 1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) |
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (+ (* -1/4 (/ (+ (* 1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))))))) |
(/ 1/2 (+ 1 (sqrt 1/2))) |
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) |
(+ (* -1 (/ (+ (* -1 (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* -1 (/ (+ (* 1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) x))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ (* -1 (/ (+ (* -1 (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (+ (* 1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* -1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (* 1/4 (/ 1 (+ 1 (sqrt 1/2))))))) x)) (+ (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) x))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)) |
(* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)) |
(* (pow x 2) (- (* (pow x 2) (+ 3/16 (* (pow x 2) (- (* 35/256 (pow x 2)) 5/32)))) 1/4)) |
-1/2 |
(- (* 1/2 (/ 1 x)) 1/2) |
(- (* 1/2 (/ 1 x)) (+ 1/2 (/ 1/4 (pow x 3)))) |
(- (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))) (+ 1/2 (/ 1/4 (pow x 3)))) |
-1/2 |
(* -1 (+ 1/2 (* 1/2 (/ 1 x)))) |
(- (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)) 1/2) |
(- (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)) 1/2) |
1/2 |
(+ 1/2 (* -1/4 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x) |
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x) |
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* -11/1024 (pow x 2)) 11/128)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (- (* 77/32768 (pow x 2)) 11/1024)) 11/128)))) |
(* -1 (* (pow x 2) (sqrt 3/16))) |
(* (pow x 2) (- (+ (/ 1/8 (* (pow x 2) (sqrt 3/16))) (/ 1 (pow x 2))) (sqrt 3/16))) |
(* (pow x 2) (- (+ (* -1/2 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 4) (sqrt 3/16)))) (+ (/ 1/8 (* (pow x 2) (sqrt 3/16))) (/ 1 (pow x 2)))) (sqrt 3/16))) |
(* (pow x 2) (- (+ (* -1/16 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 6) (pow (sqrt 3/16) 3)))) (+ (/ 1/8 (* (pow x 2) (sqrt 3/16))) (/ 1 (pow x 2)))) (+ (sqrt 3/16) (* 1/2 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 4) (sqrt 3/16))))))) |
(* -1 (* (pow x 2) (sqrt 3/16))) |
(* (pow x 2) (- (+ (/ 1/8 (* (pow x 2) (sqrt 3/16))) (/ 1 (pow x 2))) (sqrt 3/16))) |
(* (pow x 2) (- (+ (* -1/2 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 4) (sqrt 3/16)))) (+ (/ 1/8 (* (pow x 2) (sqrt 3/16))) (/ 1 (pow x 2)))) (sqrt 3/16))) |
(* (pow x 2) (- (+ (* -1/16 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 6) (pow (sqrt 3/16) 3)))) (+ (/ 1/8 (* (pow x 2) (sqrt 3/16))) (/ 1 (pow x 2)))) (+ (sqrt 3/16) (* 1/2 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 4) (sqrt 3/16))))))) |
1 |
(+ 1 (* -1/8 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* 11/1024 (pow x 2)))) 1/8))) |
(* (pow x 2) (sqrt 3/16)) |
(* (pow x 2) (- (sqrt 3/16) (* 1/8 (/ 1 (* (pow x 2) (sqrt 3/16)))))) |
(* (pow x 2) (- (+ (sqrt 3/16) (* 1/2 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 4) (sqrt 3/16))))) (/ 1/8 (* (pow x 2) (sqrt 3/16))))) |
(* (pow x 2) (- (+ (sqrt 3/16) (+ (* 1/16 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 6) (pow (sqrt 3/16) 3)))) (* 1/2 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 4) (sqrt 3/16)))))) (/ 1/8 (* (pow x 2) (sqrt 3/16))))) |
(* (pow x 2) (sqrt 3/16)) |
(* (pow x 2) (- (sqrt 3/16) (* 1/8 (/ 1 (* (pow x 2) (sqrt 3/16)))))) |
(* (pow x 2) (- (+ (sqrt 3/16) (* 1/2 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 4) (sqrt 3/16))))) (/ 1/8 (* (pow x 2) (sqrt 3/16))))) |
(* (pow x 2) (- (+ (sqrt 3/16) (+ (* 1/16 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 6) (pow (sqrt 3/16) 3)))) (* 1/2 (/ (- 1 (* 1/64 (/ 1 (pow (sqrt 3/16) 2)))) (* (pow x 4) (sqrt 3/16)))))) (/ 1/8 (* (pow x 2) (sqrt 3/16))))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(* 3/16 (pow x 4)) |
(* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/16 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/16 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow x 2))))) |
(* 3/16 (pow x 4)) |
(* (pow x 4) (- 3/16 (* 1/4 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/16 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 3/16 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow x 2))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/2 |
(+ 1/2 (* -3/32 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 17/256 (pow x 2)) 3/32))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 17/256 (* -435/8192 (pow x 2)))) 3/32))) |
(/ 1/2 (+ 1 (sqrt 1/2))) |
(- (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) |
(- (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))) |
(- (+ (* -1 (/ (+ (* -1/32 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) (pow x 3))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))) |
(/ 1/2 (+ 1 (sqrt 1/2))) |
(+ (* -1 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/32 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* x (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* x (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (/ 1/4 (* x (+ 1 (sqrt 1/2)))))))) (* 1/4 (/ (- (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
1/2 |
(+ 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3))) |
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3))) |
1/2 |
(- 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(* -3/8 (pow x 2)) |
(* (pow x 2) (- (* 39/128 (pow x 2)) 3/8)) |
(* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8)) |
(* (pow x 2) (- (* (pow x 2) (+ 39/128 (* (pow x 2) (- (* 8043/32768 (pow x 2)) 275/1024)))) 3/8)) |
(- (sqrt 1/8) 1) |
(- (+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))) 1) |
(- (+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))) 1) |
(- (+ (sqrt 1/8) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8)))))) 1) |
(- (sqrt 1/8) 1) |
(- (sqrt 1/8) (+ 1 (* 3/16 (/ 1 (* x (sqrt 1/8)))))) |
(- (+ (sqrt 1/8) (* -1 (/ (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) 1) |
(- (+ (sqrt 1/8) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x))) 1) |
-3 |
(- (* 3/8 (pow x 2)) 3) |
(- (* (pow x 2) (+ 3/8 (* -35/128 (pow x 2)))) 3) |
(- (* (pow x 2) (+ 3/8 (* (pow x 2) (- (* 229/1024 (pow x 2)) 35/128)))) 3) |
(* -1 (+ 3/2 (sqrt 1/2))) |
(- (* -1 (/ (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) x)) (+ 3/2 (sqrt 1/2))) |
(- (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (+ 3/2 (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))))) |
(- (+ (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (pow x 3)))) (+ 3/2 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x))))))) |
(* -1 (+ 3/2 (sqrt 1/2))) |
(- (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x))) (+ 3/2 (sqrt 1/2))) |
(- (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/2 (/ 1 x)))) (+ 3/2 (sqrt 1/2))) |
(- (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- 1/4 (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2)))) x)) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2))))) x)) (+ 3/2 (sqrt 1/2))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))) |
(* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2)))) |
(+ (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2)))) (* -1 (/ (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2))) x))) |
(+ (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2)))) (+ (* -1 (/ (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2))) x)) (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2))))) (pow x 2))))) |
(+ (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2)))) (+ (* -1 (/ (- (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2))) (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2))))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))))) (+ 3/2 (sqrt 1/2))) (/ (* (- (sqrt 1/8) 1) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (pow (+ 3/2 (sqrt 1/2)) 2))))) (pow x 3))) (+ (* -1 (/ (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2))) x)) (* -1 (/ (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2))))) (pow x 2)))))) |
(* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2)))) |
(- (+ (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2)))) (/ 3/16 (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2)))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (* x (pow (+ 3/2 (sqrt 1/2)) 2)))) |
(+ (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2)))) (* -1 (/ (- (+ (* -1 (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* x (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* x (+ 3/2 (sqrt 1/2)))))) x))) |
(+ (* -1 (/ (+ (* -1 (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))))) (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))))) (+ (* -1/32 (/ (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2))) (* x (* (pow (sqrt 1/2) 3) (+ 3/2 (sqrt 1/2)))))) (+ (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (+ (* -1/32 (/ (- (sqrt 1/8) 1) (* (pow (sqrt 1/2) 3) (pow (+ 3/2 (sqrt 1/2)) 2)))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (* 3/16 (/ 1 (* (sqrt 1/8) (+ 3/2 (sqrt 1/2))))) (/ (* (+ 1/2 (* 1/4 (/ 1 (sqrt 1/2)))) (- (sqrt 1/8) 1)) (pow (+ 3/2 (sqrt 1/2)) 2)))) (+ 3/2 (sqrt 1/2)))))) (* x (+ 3/2 (sqrt 1/2)))) (/ (* (- (sqrt 1/8) 1) (- (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (sqrt 1/2))) 1/4)) (* x (pow (+ 3/2 (sqrt 1/2)) 2)))))) x))) x)) (* -1 (/ (- (sqrt 1/8) 1) (+ 3/2 (sqrt 1/2))))) |
1 |
(+ 1 (* -3/8 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8))) |
(sqrt 1/8) |
(+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))) |
(+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))) |
(+ (sqrt 1/8) (+ (* -1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* (pow x 3) (sqrt 1/8)))) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8)))))) |
(sqrt 1/8) |
(- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))) |
(+ (sqrt 1/8) (* -1 (/ (+ (* -1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 3/16 (/ 1 (sqrt 1/8)))) x))) |
(+ (sqrt 1/8) (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (+ 1/16 (* 3/16 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (pow (sqrt 1/8) 2)))) (* x (sqrt 1/8)))) (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (sqrt 1/8)))) x)) (* 3/16 (/ 1 (sqrt 1/8)))) x))) |
-1/4 |
(- (* 3/16 (pow x 2)) 1/4) |
(- (* 3/16 (pow x 2)) 1/4) |
(- (* 3/16 (pow x 2)) 1/4) |
(* 3/16 (pow x 2)) |
(* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2))))) |
(* 3/16 (pow x 2)) |
(* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -1/8 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) |
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) |
(sqrt 1/2) |
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) |
2 |
(+ 2 (* -1/8 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))) |
(+ 1 (sqrt 1/2)) |
(+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) |
(- (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) |
(- (+ 1 (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) |
(+ 1 (sqrt 1/2)) |
(- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))) |
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))) |
| Outputs |
|---|
-2 |
#s(literal -2 binary64) |
(- (* 1/8 (pow x 2)) 2) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal -2 binary64)) |
(- (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) 2) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) #s(literal -2 binary64)) |
(- (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) 2) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) #s(literal -2 binary64)) |
(* -1 (+ 1 (sqrt 1/2))) |
(-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(* -1 (+ 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))) |
(+.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) |
(- (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))) |
(-.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))) |
(- (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (+ 1 (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))) |
(+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))))) |
(* -1 (+ 1 (sqrt 1/2))) |
(-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (* 1/4 (/ 1 (* x (sqrt 1/2)))) (+ 1 (sqrt 1/2))) |
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(- (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2)))) (+ 1 (sqrt 1/2))) |
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) |
(- (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)) (+ 1 (sqrt 1/2))) |
(-.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -3/32 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) x)) x)) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(/ 1/2 (+ 1 (sqrt 1/2))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x)) |
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (+ (* 1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))))) |
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (+ (* -1/4 (/ (+ (* 1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* -1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))))))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (+.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) (/.f64 #s(literal 3/64 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 #s(literal 1/2 binary64)) x)))))) |
(/ 1/2 (+ 1 (sqrt 1/2))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (sqrt.f64 #s(literal 1/2 binary64)) x)))) |
(+ (* -1 (/ (+ (* -1 (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (* -1 (/ (+ (* 1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) x))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -3/8 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -3/8 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 39/128 (pow x 2)) 3/8))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 39/128 binary64)) #s(literal -3/8 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 39/128 (* -275/1024 (pow x 2)))) 3/8))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -275/1024 binary64) #s(literal 39/128 binary64)) #s(literal -3/8 binary64)) #s(literal 1 binary64)) |
(sqrt 1/8) |
(sqrt.f64 #s(literal 1/8 binary64)) |
(+ (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))) |
(+.f64 (sqrt.f64 #s(literal 1/8 binary64)) (/.f64 #s(literal 3/16 binary64) (*.f64 x (sqrt.f64 #s(literal 1/8 binary64))))) |
(+ (sqrt 1/8) (+ (* 1/2 (/ (- 3/8 (* 9/256 (/ 1 (pow (sqrt 1/8) 2)))) (* (pow x 2) (sqrt 1/8)))) (/ 3/16 (* x (sqrt 1/8))))) |
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(sqrt 1/8) |
(sqrt.f64 #s(literal 1/8 binary64)) |
(- (sqrt 1/8) (* 3/16 (/ 1 (* x (sqrt 1/8))))) |
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-1/4 |
#s(literal -1/4 binary64) |
(- (* 3/16 (pow x 2)) 1/4) |
(fma.f64 (*.f64 x x) #s(literal 3/16 binary64) #s(literal -1/4 binary64)) |
(- (* 3/16 (pow x 2)) 1/4) |
(fma.f64 (*.f64 x x) #s(literal 3/16 binary64) #s(literal -1/4 binary64)) |
(- (* 3/16 (pow x 2)) 1/4) |
(fma.f64 (*.f64 x x) #s(literal 3/16 binary64) #s(literal -1/4 binary64)) |
(* 3/16 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/16 binary64)) |
(* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(* (pow x 2) (- 3/16 (* 1/4 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 3/16 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(* 3/16 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3/16 binary64)) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) |
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(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
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(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* -1/8 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64))) #s(literal 2 binary64)) |
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(+ 1 (sqrt 1/2)) |
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(+ 1 (sqrt 1/2)) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (+ 1 (sqrt 1/2)) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) |
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) x)) |
(+ 1 (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) x)) |
Compiled 76 575 to 5 488 computations (92.8% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 796 | 9 | 1 805 |
| Fresh | 12 | 4 | 16 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 812 | 14 | 1 826 |
| Status | Accuracy | Program |
|---|---|---|
| 54.9% | (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) | |
| ▶ | 53.1% | (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
| ▶ | 76.7% | (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| 48.0% | (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/32 binary64) #s(literal 3/16 binary64)) #s(literal -1/4 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) | |
| 54.7% | (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) | |
| ▶ | 75.8% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
| 53.5% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) | |
| ✓ | 53.9% | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
| 23.9% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) | |
| 48.0% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) | |
| ▶ | 46.4% | (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
| 46.4% | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) | |
| 48.0% | (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) | |
| ▶ | 12.4% | #s(literal 1/2 binary64) |
Compiled 331 to 215 computations (35% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -11/128 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| 2 280× | lower-fma.f32 |
| 2 274× | lower-fma.f64 |
| 1 328× | lower-*.f32 |
| 1 322× | lower-*.f64 |
| 860× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 181 |
| 0 | 47 | 181 |
| 1 | 83 | 181 |
| 2 | 142 | 181 |
| 3 | 212 | 181 |
| 4 | 282 | 181 |
| 5 | 428 | 181 |
| 6 | 639 | 181 |
| 7 | 915 | 181 |
| 8 | 1359 | 181 |
| 9 | 2721 | 181 |
| 10 | 3637 | 181 |
| 11 | 4352 | 181 |
| 12 | 4422 | 181 |
| 13 | 4459 | 181 |
| 14 | 4491 | 181 |
| 15 | 4497 | 181 |
| 16 | 4561 | 181 |
| 17 | 4585 | 181 |
| 18 | 4585 | 181 |
| 19 | 4591 | 181 |
| 0 | 4591 | 181 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) |
(*.f64 x #s(literal -11/128 binary64)) |
#s(literal -11/128 binary64) |
#s(literal 1/8 binary64) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
| Outputs |
|---|
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
#s(literal 1/2 binary64) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64))) |
(*.f64 x x) |
x |
(fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) |
(*.f64 x #s(literal -11/128 binary64)) |
#s(literal -11/128 binary64) |
#s(literal 1/8 binary64) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
#s(literal 1/2 binary64) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | accuracy | 75.8% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 73.5% | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 #s(literal 1/2 binary64)) |
| ✓ | accuracy | 98.9% | (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -11/128 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| ✓ | accuracy | 76.8% | (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
| ✓ | accuracy | 73.5% | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| 53.0ms | 80× | 2 | valid |
| 28.0ms | 140× | 0 | valid |
| 15.0ms | 36× | 1 | valid |
Compiled 201 to 30 computations (85.1% saved)
ival-hypot: 14.0ms (19.5% of total)ival-sqrt: 14.0ms (19.5% of total)ival-add: 12.0ms (16.7% of total)adjust: 10.0ms (13.9% of total)ival-div: 9.0ms (12.6% of total)ival-mult: 8.0ms (11.2% of total)ival-sub: 4.0ms (5.6% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))> |
#<alt (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))> |
#<alt (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))> |
#<alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))> |
#<alt (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))> |
#<alt (*.f64 x #s(literal -11/128 binary64))> |
#<alt (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64))> |
#<alt (sqrt.f64 #s(literal 1/2 binary64))> |
#<alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))> |
#<alt (/.f64 #s(literal -1/2 binary64) x)> |
#<alt (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))> |
#<alt (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))> |
#<alt (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))> |
| Outputs |
|---|
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))> |
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))> |
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))> |
#<alt (+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))> |
#<alt (- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))> |
#<alt (- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))))))> |
#<alt (/ 1/2 (+ 1 (sqrt 1/2)))> |
#<alt (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))> |
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16))))> |
#<alt 1/2> |
#<alt (- 1/2 (* 1/2 (/ 1 x)))> |
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x)))> |
#<alt (- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ 1 x)))> |
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x)))> |
#<alt (+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/4 (pow x 2)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))> |
#<alt (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))> |
#<alt (/ 1/2 x)> |
#<alt (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)> |
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)> |
#<alt (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)> |
#<alt (/ -1/2 x)> |
#<alt (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))> |
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))> |
#<alt (* -11/128 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* -11/128 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt 1/8> |
#<alt (+ 1/8 (* -11/128 (pow x 2)))> |
#<alt (+ 1/8 (* -11/128 (pow x 2)))> |
#<alt (+ 1/8 (* -11/128 (pow x 2)))> |
#<alt (* -11/128 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* -11/128 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -1/2 (/ (sqrt 1/2) x))> |
#<alt (/ (+ (* -1/2 (sqrt 1/2)) (* x (+ 1 (* -1 (sqrt 1/2))))) x)> |
#<alt (/ (+ (* -1/2 (sqrt 1/2)) (* x (+ 1 (* -1 (sqrt 1/2))))) x)> |
#<alt (/ (+ (* -1/2 (sqrt 1/2)) (* x (+ 1 (* -1 (sqrt 1/2))))) x)> |
#<alt (+ 1 (* -1 (sqrt 1/2)))> |
#<alt (+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x))))> |
#<alt (+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x))))> |
#<alt (+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x))))> |
#<alt (+ 1 (* -1 (sqrt 1/2)))> |
#<alt (+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x))))> |
#<alt (+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x))))> |
#<alt (+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x))))> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (* -1 x) 1/2) x)> |
#<alt (/ (- (* -1 x) 1/2) x)> |
#<alt (/ (- (* -1 x) 1/2) x)> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (+ 1 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (+ 1 (* 1/2 (/ 1 x))))> |
#<alt -1> |
#<alt (* -1 (+ 1 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (+ 1 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (+ 1 (* 1/2 (/ 1 x))))> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))> |
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128))))> |
#<alt (- 1 (sqrt 1/2))> |
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))> |
#<alt (- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))> |
#<alt (- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))> |
#<alt (- 1 (sqrt 1/2))> |
#<alt (- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2))> |
#<alt (- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2))> |
#<alt (- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))> |
#<alt 1> |
#<alt (+ 1 (* -1/8 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8)))> |
#<alt (sqrt 1/2)> |
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))> |
#<alt (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))> |
#<alt (- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))> |
#<alt (sqrt 1/2)> |
#<alt (- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))> |
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x)))> |
#<alt (+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/4 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ 1 x)))> |
#<alt (- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3)))> |
#<alt (- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3)))> |
#<alt 1/2> |
#<alt (- 1/2 (* 1/2 (/ 1 x)))> |
#<alt (+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)))> |
#<alt (+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (sqrt (+ (/ 1/2 (sqrt (+ (* x x) 1))) 1/2)) |
| 2.0ms | x | @ | 0 | (* (* x x) (+ (* x (* x -11/128)) 1/8)) |
| 1.0ms | x | @ | inf | (/ (- 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) |
| 1.0ms | x | @ | 0 | (+ (* (sqrt 1/2) (+ -1 (/ -1/2 x))) 1) |
| 1.0ms | x | @ | -inf | (/ (- 1/2 (/ 1/2 (sqrt (+ (* x x) 1)))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) |
| 1× | batch-egg-rewrite |
| 4 566× | lower-/.f32 |
| 4 560× | lower-/.f64 |
| 4 382× | lower-*.f32 |
| 4 376× | lower-*.f64 |
| 3 406× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 115 |
| 0 | 47 | 115 |
| 1 | 208 | 115 |
| 2 | 1516 | 115 |
| 0 | 8161 | 115 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(*.f64 x x) |
(fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) |
(*.f64 x #s(literal -11/128 binary64)) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))))) |
(pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| 1× | egg-herbie |
| 15 944× | lower-fma.f64 |
| 15 944× | lower-fma.f32 |
| 4 534× | lower-+.f64 |
| 4 534× | lower-+.f32 |
| 4 420× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 324 | 2066 |
| 1 | 985 | 1956 |
| 2 | 3083 | 1892 |
| 0 | 8073 | 1812 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))) |
(/ 1/2 (+ 1 (sqrt 1/2))) |
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))) |
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))))) |
(/ 1/2 (+ 1 (sqrt 1/2))) |
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16)))) |
1/2 |
(- 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x))) |
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) |
1/2 |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))) |
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x))) |
1/2 |
(+ 1/2 (* -1/4 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x) |
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x) |
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x) |
(/ -1/2 x) |
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* -11/128 (pow x 4)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* -11/128 (pow x 4)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
1/8 |
(+ 1/8 (* -11/128 (pow x 2))) |
(+ 1/8 (* -11/128 (pow x 2))) |
(+ 1/8 (* -11/128 (pow x 2))) |
(* -11/128 (pow x 2)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* -11/128 (pow x 2)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -1/2 (/ (sqrt 1/2) x)) |
(/ (+ (* -1/2 (sqrt 1/2)) (* x (+ 1 (* -1 (sqrt 1/2))))) x) |
(/ (+ (* -1/2 (sqrt 1/2)) (* x (+ 1 (* -1 (sqrt 1/2))))) x) |
(/ (+ (* -1/2 (sqrt 1/2)) (* x (+ 1 (* -1 (sqrt 1/2))))) x) |
(+ 1 (* -1 (sqrt 1/2))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x)))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x)))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x)))) |
(+ 1 (* -1 (sqrt 1/2))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x)))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x)))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x)))) |
(/ -1/2 x) |
(/ (- (* -1 x) 1/2) x) |
(/ (- (* -1 x) 1/2) x) |
(/ (- (* -1 x) 1/2) x) |
-1 |
(* -1 (+ 1 (* 1/2 (/ 1 x)))) |
(* -1 (+ 1 (* 1/2 (/ 1 x)))) |
(* -1 (+ 1 (* 1/2 (/ 1 x)))) |
-1 |
(* -1 (+ 1 (* 1/2 (/ 1 x)))) |
(* -1 (+ 1 (* 1/2 (/ 1 x)))) |
(* -1 (+ 1 (* 1/2 (/ 1 x)))) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))) |
(- 1 (sqrt 1/2)) |
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) |
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(- 1 (sqrt 1/2)) |
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2)) |
1 |
(+ 1 (* -1/8 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) |
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) |
(sqrt 1/2) |
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) |
1 |
(+ 1 (* -1/4 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
1/2 |
(+ 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3))) |
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3))) |
1/2 |
(- 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))) |
| Outputs |
|---|
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64))) #s(literal 1/8 binary64))) |
(/ 1/2 (+ 1 (sqrt 1/2))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) x)) |
(- (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2))))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (-.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (sqrt.f64 #s(literal 1/2 binary64)) x))))) |
(- (+ (/ 1/4 (* (pow x 3) (+ 1 (sqrt 1/2)))) (+ (* 1/64 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 2) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow x 3) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (pow x 3) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (/ 1/2 (* x (+ 1 (sqrt 1/2)))))))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (fma.f64 x (sqrt.f64 #s(literal 1/2 binary64)) x))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (+.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -3/16 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1/2 binary64) (fma.f64 x (sqrt.f64 #s(literal 1/2 binary64)) x)))))) |
(/ 1/2 (+ 1 (sqrt 1/2))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ (/ 1/8 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (/ 1/2 (* x (+ 1 (sqrt 1/2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))) |
(+ (* -1 (/ (- (* -1 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) x) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x)) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (/ 1 (+ 1 (sqrt 1/2)))) (+ (* 1/32 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (pow (sqrt 1/2) 3) (+ 1 (sqrt 1/2))))) (+ (* 1/4 (/ (- (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))) (* 1/4 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) x)) (* 1/64 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* -1/4 (/ (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) x)) (+ (* 1/8 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/2 (/ 1 (+ 1 (sqrt 1/2)))))) x)) (* 1/2 (/ 1 (+ 1 (sqrt 1/2))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1/16 binary64) (/.f64 #s(literal -3/64 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) x)) x) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x)) |
(* 1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 5/32 (* -35/256 (pow x 2)))) 3/16)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -35/256 binary64) #s(literal 5/32 binary64)) #s(literal -3/16 binary64))) #s(literal 1/4 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(- 1/2 (* 1/2 (/ 1 x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(- (+ 1/2 (/ 1/4 (pow x 3))) (* 1/2 (/ 1 x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)) |
(- (+ 1/2 (/ 1/4 (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) |
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) (/.f64 #s(literal -3/16 binary64) (pow.f64 x #s(literal 5 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) 1/2) x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)) |
(+ 1/2 (* -1 (/ (- (* 1/4 (/ 1 (pow x 2))) (+ 1/2 (/ 3/16 (pow x 4)))) x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/32 binary64) #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x) |
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x) |
(/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 6 binary64)))))) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) |
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 #s(literal -3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) |
(* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/32 (/ 1 (pow x 6))))) x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/32 binary64) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) x) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(neg.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(neg.f64 (fma.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) x))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(-.f64 (neg.f64 x) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)))) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)))) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)))) |
(* -11/128 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* -11/128 (pow x 4)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -11/128 binary64))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* -11/128 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) |
(+ 1/8 (* -11/128 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) |
(+ 1/8 (* -11/128 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)) |
(* -11/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/128 binary64)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) |
(* -11/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/128 binary64)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) |
(* -11/128 x) |
(*.f64 x #s(literal -11/128 binary64)) |
(* -11/128 x) |
(*.f64 x #s(literal -11/128 binary64)) |
(* -11/128 x) |
(*.f64 x #s(literal -11/128 binary64)) |
(* -11/128 x) |
(*.f64 x #s(literal -11/128 binary64)) |
(* -11/128 x) |
(*.f64 x #s(literal -11/128 binary64)) |
(* -11/128 x) |
(*.f64 x #s(literal -11/128 binary64)) |
(* -11/128 x) |
(*.f64 x #s(literal -11/128 binary64)) |
(* -11/128 x) |
(*.f64 x #s(literal -11/128 binary64)) |
(* -11/128 x) |
(*.f64 x #s(literal -11/128 binary64)) |
(* -11/128 x) |
(*.f64 x #s(literal -11/128 binary64)) |
(* -11/128 x) |
(*.f64 x #s(literal -11/128 binary64)) |
(* -11/128 x) |
(*.f64 x #s(literal -11/128 binary64)) |
(* -1/2 (/ (sqrt 1/2) x)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) x) |
(/ (+ (* -1/2 (sqrt 1/2)) (* x (+ 1 (* -1 (sqrt 1/2))))) x) |
(/.f64 (+.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal -1/2 binary64) x))) x) |
(/ (+ (* -1/2 (sqrt 1/2)) (* x (+ 1 (* -1 (sqrt 1/2))))) x) |
(/.f64 (+.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal -1/2 binary64) x))) x) |
(/ (+ (* -1/2 (sqrt 1/2)) (* x (+ 1 (* -1 (sqrt 1/2))))) x) |
(/.f64 (+.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal -1/2 binary64) x))) x) |
(+ 1 (* -1 (sqrt 1/2))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x)))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x)))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x)))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (* -1 (sqrt 1/2))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x)))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x)))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x)))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* -1 x) 1/2) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(/ (- (* -1 x) 1/2) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(/ (- (* -1 x) 1/2) x) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(* -1 (+ 1 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(* -1 (+ 1 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(* -1 (+ 1 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(* -1 (+ 1 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(* -1 (+ 1 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -11/128 binary64) #s(literal 1/8 binary64)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* -1843/32768 (pow x 2)))) 11/128)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1843/32768 binary64) #s(literal 69/1024 binary64)) #s(literal -11/128 binary64))) #s(literal 1/8 binary64))) |
(- 1 (sqrt 1/2)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) |
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))) |
(- (+ 1 (+ (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))))) |
(- 1 (sqrt 1/2)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(- (+ 1 (* 1/4 (/ 1 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) |
(- (+ 1 (+ (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))) (/ 1/4 (* x (sqrt 1/2))))) (sqrt 1/2)) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/32 binary64) (*.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))) |
(- (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2)) |
(+.f64 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x))) (sqrt.f64 #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/8 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 11/128 (pow x 2)) 1/8))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 11/128 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 11/128 (* -69/1024 (pow x 2)))) 1/8))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -69/1024 binary64) #s(literal 11/128 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) |
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) |
(+.f64 (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))) |
(- (+ (sqrt 1/2) (+ (* 1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (pow x 3) (sqrt 1/2)))) (/ 1/4 (* x (sqrt 1/2))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) |
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))))) |
(sqrt 1/2) |
(sqrt.f64 #s(literal 1/2 binary64)) |
(- (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) |
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal -1/16 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) x)) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (- (* -1/2 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (sqrt 1/2)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) |
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/16 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/4 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 3/16 (pow x 2)) 1/4))) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/16 (* -5/32 (pow x 2)))) 1/4))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/32 binary64) #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(- (+ 1/2 (* 1/2 (/ 1 x))) (/ 1/4 (pow x 3))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x)) |
(- (+ 1/2 (+ (* 1/2 (/ 1 x)) (* 3/16 (/ 1 (pow x 5))))) (/ 1/4 (pow x 3))) |
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/16 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) x))) |
1/2 |
#s(literal 1/2 binary64) |
(- 1/2 (* 1/2 (/ 1 x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/4 (/ 1 (pow x 2)))) x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x)) |
(+ 1/2 (* -1 (/ (- (+ 1/2 (/ 3/16 (pow x 4))) (* 1/4 (/ 1 (pow x 2)))) x))) |
(-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) x)) |
Compiled 22 421 to 2 273 computations (89.9% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 757 | 4 | 761 |
| Fresh | 4 | 4 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 762 | 13 | 775 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.9% | (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | 53.1% | (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
| ✓ | 76.7% | (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| ▶ | 48.0% | (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| 54.7% | (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) | |
| ✓ | 75.8% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
| ▶ | 53.5% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | 53.9% | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
| ▶ | 23.9% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ▶ | 46.4% | (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) |
| 48.0% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) | |
| 48.0% | (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) | |
| ✓ | 12.4% | #s(literal 1/2 binary64) |
Compiled 249 to 164 computations (34.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -11/128 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) |
| ✓ | cost-diff | 192 | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 0 | (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
| 1 406× | lower-fma.f32 |
| 1 396× | lower-fma.f64 |
| 882× | lower-*.f32 |
| 870× | lower-*.f64 |
| 446× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 245 |
| 0 | 69 | 245 |
| 1 | 122 | 245 |
| 2 | 255 | 245 |
| 3 | 436 | 245 |
| 4 | 601 | 245 |
| 5 | 842 | 245 |
| 6 | 1114 | 245 |
| 7 | 1212 | 245 |
| 8 | 1331 | 245 |
| 9 | 1341 | 245 |
| 0 | 1341 | 245 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
(neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
x |
(fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) |
(*.f64 x #s(literal -11/128 binary64)) |
#s(literal -11/128 binary64) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) |
x |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) |
#s(literal 5/32 binary64) |
#s(literal -3/16 binary64) |
#s(literal 1/4 binary64) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
(neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) |
(sqrt.f64 #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
#s(literal 0 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) |
(*.f64 x (*.f64 x (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(*.f64 x (fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) |
x |
(fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -11/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(*.f64 x #s(literal -11/128 binary64)) |
#s(literal -11/128 binary64) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal -3/16 binary64))) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal -3/16 binary64))) #s(literal 1/4 binary64)))) |
x |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal -3/16 binary64))) #s(literal 1/4 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)) |
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal -3/16 binary64))) #s(literal 1/4 binary64)) |
(*.f64 x x) |
(fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) |
(fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal -3/16 binary64)) |
#s(literal 5/32 binary64) |
#s(literal -3/16 binary64) |
#s(literal 1/4 binary64) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
#s(literal 1 binary64) |
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| ✓ | accuracy | 99.9% | (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) |
| ✓ | accuracy | 73.5% | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 99.2% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -11/128 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | accuracy | 98.8% | (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 73.9% | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
| 59.0ms | 116× | 1 | exit |
| 47.0ms | 140× | 0 | valid |
Compiled 275 to 42 computations (84.7% saved)
ival-mult: 31.0ms (36.7% of total)ival-add: 13.0ms (15.4% of total)ival-sqrt: 11.0ms (13% of total)ival-hypot: 10.0ms (11.8% of total)adjust: 9.0ms (10.7% of total)ival-div: 7.0ms (8.3% of total)ival-sub: 2.0ms (2.4% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64))> |
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))> |
#<alt (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))> |
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))> |
#<alt (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x)> |
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))> |
#<alt (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))> |
#<alt (*.f64 x #s(literal -11/128 binary64))> |
#<alt (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))))> |
#<alt (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))> |
#<alt (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))> |
#<alt (/.f64 #s(literal 1/2 binary64) x)> |
#<alt (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))> |
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64))))> |
#<alt (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))> |
#<alt (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))> |
#<alt (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))> |
#<alt (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64))> |
| Outputs |
|---|
#<alt (+ 1 (* -1 (* (sqrt 1/2) (sqrt 2))))> |
#<alt (+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2)))))> |
#<alt (+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/4 (/ (sqrt 1/2) (sqrt 2)))))))> |
#<alt (+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2)))))))))> |
#<alt (+ 1 (* -1 (sqrt 1/2)))> |
#<alt (+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x))))> |
#<alt (+ 1 (+ (* -1 (sqrt 1/2)) (+ (* -1/2 (/ (sqrt 1/2) x)) (* 1/8 (/ (sqrt 1/2) (pow x 2))))))> |
#<alt (+ 1 (+ (* -1 (sqrt 1/2)) (+ (* -1/2 (/ (sqrt 1/2) x)) (+ (* 1/8 (/ (sqrt 1/2) (pow x 2))) (* 3/16 (/ (sqrt 1/2) (pow x 3)))))))> |
#<alt (+ 1 (* -1 (sqrt 1/2)))> |
#<alt (+ 1 (+ (* -1 (sqrt 1/2)) (* 1/2 (/ (sqrt 1/2) x))))> |
#<alt (+ 1 (+ (* -1 (sqrt 1/2)) (* -1 (/ (+ (* -1/2 (sqrt 1/2)) (* -1/8 (/ (sqrt 1/2) x))) x))))> |
#<alt (+ 1 (+ (* -1 (sqrt 1/2)) (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (/ (sqrt 1/2) x)) (* 1/8 (sqrt 1/2))) x)) (* -1/2 (sqrt 1/2))) x))))> |
#<alt (sqrt 2)> |
#<alt (+ (sqrt 2) (* -1/4 (/ (pow x 2) (sqrt 2))))> |
#<alt (+ (sqrt 2) (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/4 (/ 1 (sqrt 2))))))> |
#<alt (+ (sqrt 2) (* (pow x 2) (- (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/4 (/ 1 (sqrt 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ 1 x)))> |
#<alt (- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2)))> |
#<alt (+ 1 (+ (* -1 (/ (+ 1/8 (* 3/16 (/ 1 x))) (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt 1> |
#<alt (- 1 (* 1/2 (/ 1 x)))> |
#<alt (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x)))> |
#<alt (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) x))) x)))> |
#<alt 2> |
#<alt (+ 2 (* -1/2 (pow x 2)))> |
#<alt (+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))> |
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))> |
#<alt 1> |
#<alt (+ 1 (/ 1 x))> |
#<alt (- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3)))> |
#<alt (- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3)))> |
#<alt 1> |
#<alt (- 1 (/ 1 x))> |
#<alt (+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)))> |
#<alt (+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2)))> |
#<alt (/ 1 x)> |
#<alt (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)> |
#<alt (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))> |
#<alt (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))> |
#<alt (* -11/128 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* -11/128 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* 1/8 x)> |
#<alt (* x (+ 1/8 (* -11/128 (pow x 2))))> |
#<alt (* x (+ 1/8 (* -11/128 (pow x 2))))> |
#<alt (* x (+ 1/8 (* -11/128 (pow x 2))))> |
#<alt (* -11/128 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* -11/128 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2))))))> |
#<alt 1/8> |
#<alt (+ 1/8 (* -11/128 (pow x 2)))> |
#<alt (+ 1/8 (* -11/128 (pow x 2)))> |
#<alt (+ 1/8 (* -11/128 (pow x 2)))> |
#<alt (* -11/128 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* -11/128 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128))> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -11/128 x)> |
#<alt (* -1 (* (sqrt (/ 1 x)) (sqrt 1/2)))> |
#<alt (/ (- x (* (sqrt x) (sqrt 1/2))) x)> |
#<alt (/ (- (* x (+ 1 (* -1/4 (* (sqrt x) (/ 1 (sqrt 1/2)))))) (* (sqrt x) (sqrt 1/2))) x)> |
#<alt (/ (- (* x (+ 1 (* x (- (* 1/32 (* (sqrt x) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))))))) (* (sqrt x) (sqrt 1/2))) x)> |
#<alt (- 1 (sqrt 1/2))> |
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))> |
#<alt (- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))))> |
#<alt (- (+ 1 (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/128 (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5)))))))> |
#<alt (- 1 (sqrt 1/2))> |
#<alt (- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))))> |
#<alt (- (+ 1 (* -1 (/ (- (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) (sqrt 1/2))> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/128 (/ 1 (* x (pow (sqrt 1/2) 5))))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2))> |
#<alt (* (sqrt (/ 1 x)) (sqrt 1/2))> |
#<alt (/ (+ (* 1/4 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2))) x)> |
#<alt (/ (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 2) (+ (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2))))))) x)> |
#<alt (/ (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/128 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 5))))))))) x)> |
#<alt (sqrt 1/2)> |
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))> |
#<alt (- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3))))> |
#<alt (- (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/128 (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3)))))> |
#<alt (sqrt 1/2)> |
#<alt (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))> |
#<alt (+ (sqrt 1/2) (* -1 (/ (- (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (sqrt 1/2)))) x)))> |
#<alt (+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (- (* 1/128 (/ 1 (* x (pow (sqrt 1/2) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x)))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/2 x)) x)> |
#<alt (/ (+ 1/2 (* 1/2 x)) x)> |
#<alt (/ (+ 1/2 (* 1/2 x)) x)> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ 1 x)))> |
#<alt (+ 1/2 (* 1/2 (/ 1 x)))> |
#<alt (+ 1/2 (* 1/2 (/ 1 x)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ 1 x)))> |
#<alt (+ 1/2 (* 1/2 (/ 1 x)))> |
#<alt (+ 1/2 (* 1/2 (/ 1 x)))> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (/ 1/2 x)> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/8 (* -11/128 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128))))> |
#<alt (* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* 397/32768 (pow x 2)))) 11/128))))> |
#<alt (* 5/32 (/ (pow x 6) (+ 1 (sqrt 1/2))))> |
#<alt (* (pow x 6) (- (* 5/32 (/ 1 (+ 1 (sqrt 1/2)))) (* 5/128 (/ 1 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))))))> |
#<alt (* (pow x 6) (- (+ (* 5/512 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (* 5/1024 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 5/32 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (/ 5/128 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 3/16 (/ 1 (* (pow x 2) (+ 1 (sqrt 1/2))))))))> |
#<alt (* (pow x 6) (- (+ (* -1 (/ (+ (* 5/4096 (/ 1 (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3)))) (+ (* 5/64 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (+ (* 5/1024 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 5/512 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (* 3/16 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (pow x 3))) (+ (* 5/512 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (* 5/1024 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 5/32 (/ 1 (+ 1 (sqrt 1/2))))))) (+ (/ 5/128 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 3/16 (/ 1 (* (pow x 2) (+ 1 (sqrt 1/2))))))))> |
#<alt (* 5/32 (/ (pow x 6) (+ 1 (sqrt 1/2))))> |
#<alt (* (pow x 6) (+ (* 5/128 (/ 1 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 5/32 (/ 1 (+ 1 (sqrt 1/2))))))> |
#<alt (* (pow x 6) (+ (* -1 (/ (- (* -1 (/ (- (+ (* 5/1024 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 5/512 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (* 3/16 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 5/128 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 5/32 (/ 1 (+ 1 (sqrt 1/2))))))> |
#<alt (* (pow x 6) (+ (* -1 (/ (- (* -1 (/ (- (+ (* 5/1024 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 5/512 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (+ (* 5/64 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (- (+ (* 5/1024 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 5/512 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (* 3/16 (/ 1 (+ 1 (sqrt 1/2))))) (* x (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (/ 5/4096 (* x (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3)))))))) (* 3/16 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 5/128 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 5/32 (/ 1 (+ 1 (sqrt 1/2))))))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/4 (* -3/16 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))> |
#<alt (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))> |
#<alt (* 5/32 (pow x 6))> |
#<alt (* (pow x 6) (- 5/32 (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* 5/32 (pow x 6))> |
#<alt (* (pow x 6) (- 5/32 (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 6) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* 1/4 x)> |
#<alt (* x (+ 1/4 (* -3/16 (pow x 2))))> |
#<alt (* x (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))> |
#<alt (* x (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))))> |
#<alt (* 5/32 (pow x 5))> |
#<alt (* (pow x 5) (- 5/32 (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 5) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* 5/32 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- (* 3/16 (/ 1 (pow x 2))) 5/32)))> |
#<alt (* -1 (* (pow x 5) (- (* 3/16 (/ 1 (pow x 2))) (+ 5/32 (/ 1/4 (pow x 4))))))> |
#<alt (* -1 (* (pow x 5) (- (* 3/16 (/ 1 (pow x 2))) (+ 5/32 (/ 1/4 (pow x 4))))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -3/16 (pow x 2)))> |
#<alt (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))> |
#<alt (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))> |
#<alt (* 5/32 (pow x 4))> |
#<alt (* (pow x 4) (- 5/32 (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* 5/32 (pow x 4))> |
#<alt (* (pow x 4) (- 5/32 (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (- (pow x 2) 1)))> |
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (- 1 (/ 1 (pow x 2))) (pow x 2))> |
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))> |
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (- 1 (/ 1 (pow x 2))) (pow x 2))> |
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2))> |
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))> |
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))> |
#<alt -3/16> |
#<alt (- (* 5/32 (pow x 2)) 3/16)> |
#<alt (- (* 5/32 (pow x 2)) 3/16)> |
#<alt (- (* 5/32 (pow x 2)) 3/16)> |
#<alt (* 5/32 (pow x 2))> |
#<alt (* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* 5/32 (pow x 2))> |
#<alt (* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2)))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (* x (* x (+ (* (* x x) (+ (* (* x x) 5/32) -3/16)) 1/4))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) |
| 1.0ms | x | @ | 0 | (+ (* (sqrt (+ 1 (sqrt (/ 1 (+ (* x x) 1))))) (neg (sqrt 1/2))) 1) |
| 1.0ms | x | @ | -inf | (/ (* x (* x (+ (* (* x x) (+ (* (* x x) 5/32) -3/16)) 1/4))) (+ 1 (sqrt (+ 1/2 (/ 1/2 (sqrt (+ (* x x) 1))))))) |
| 0.0ms | x | @ | 0 | (- 1 (sqrt (+ (/ 1/2 x) 1/2))) |
| 0.0ms | x | @ | 0 | (sqrt (+ (/ 1/2 x) 1/2)) |
| 1× | batch-egg-rewrite |
| 4 148× | lower-*.f32 |
| 4 136× | lower-*.f64 |
| 3 752× | lower-/.f32 |
| 3 744× | lower-/.f64 |
| 3 696× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 175 |
| 0 | 69 | 175 |
| 1 | 275 | 170 |
| 2 | 1991 | 170 |
| 0 | 8333 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) |
(*.f64 x #s(literal -11/128 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) |
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)) |
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))))) |
(+.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))))))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal -1 binary64)) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (+.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))) (*.f64 (+.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))))))) |
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (sqrt.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (sqrt.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
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(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(+.f64 #s(literal -3/16 binary64) (*.f64 (*.f64 x x) #s(literal 5/32 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 5/32 binary64)) #s(literal -3/16 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64)) (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal 3/16 binary64))) (/.f64 #s(literal 9/256 binary64) (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal 3/16 binary64)))) |
(-.f64 (/.f64 #s(literal 9/256 binary64) (-.f64 #s(literal -3/16 binary64) (*.f64 (*.f64 x x) #s(literal 5/32 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64)) (-.f64 #s(literal -3/16 binary64) (*.f64 (*.f64 x x) #s(literal 5/32 binary64))))) |
(fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal -3/16 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) |
(fma.f64 #s(literal 5/32 binary64) (*.f64 x x) #s(literal -3/16 binary64)) |
(fma.f64 (*.f64 x #s(literal 5/32 binary64)) x #s(literal -3/16 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64) #s(literal 9/256 binary64)) (*.f64 (*.f64 x x) #s(literal -15/512 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/32768 binary64) #s(literal -27/4096 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal 3/16 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64) #s(literal -9/256 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64) #s(literal 9/256 binary64)) (*.f64 (*.f64 x x) #s(literal -15/512 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/32768 binary64) #s(literal -27/4096 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal 3/16 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64) #s(literal -9/256 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/32768 binary64) #s(literal -27/4096 binary64)) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64) #s(literal 9/256 binary64)) (*.f64 (*.f64 x x) #s(literal -15/512 binary64)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/32768 binary64) #s(literal -27/4096 binary64)) (+.f64 #s(literal 9/256 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64)) (*.f64 (*.f64 x x) #s(literal -15/512 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64) #s(literal -9/256 binary64)) (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal 3/16 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/32768 binary64) #s(literal -27/4096 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64) #s(literal 9/256 binary64)) (*.f64 (*.f64 x x) #s(literal -15/512 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/32768 binary64) #s(literal -27/4096 binary64))) (neg.f64 (+.f64 #s(literal 9/256 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64)) (*.f64 (*.f64 x x) #s(literal -15/512 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64) #s(literal -9/256 binary64))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal 3/16 binary64)))) |
(/.f64 (-.f64 #s(literal 9/256 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64))) (-.f64 #s(literal -3/16 binary64) (*.f64 (*.f64 x x) #s(literal 5/32 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64)) (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal 3/16 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal 3/16 binary64)) #s(literal 9/256 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal 3/16 binary64)) (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal 3/16 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/32768 binary64) #s(literal -27/4096 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64) #s(literal 9/256 binary64)) (*.f64 (*.f64 x x) #s(literal -15/512 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64) #s(literal -9/256 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal 3/16 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9/256 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64)))) (neg.f64 (-.f64 #s(literal -3/16 binary64) (*.f64 (*.f64 x x) #s(literal 5/32 binary64))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64) #s(literal 9/256 binary64)) (*.f64 (*.f64 x x) #s(literal -15/512 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/32768 binary64) #s(literal -27/4096 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal 3/16 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64) #s(literal -9/256 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 125/32768 binary64) #s(literal -27/4096 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64) #s(literal 9/256 binary64)) (*.f64 (*.f64 x x) #s(literal -15/512 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 25/1024 binary64) #s(literal -9/256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 5/32 binary64)) #s(literal 3/16 binary64)))) |
| 1× | egg-herbie |
| 9 900× | lower-fma.f64 |
| 9 900× | lower-fma.f32 |
| 6 266× | lower-*.f64 |
| 6 266× | lower-*.f32 |
| 4 264× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 506 | 2949 |
| 1 | 1513 | 2774 |
| 2 | 4617 | 2756 |
| 0 | 8427 | 2654 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* -1 (* (sqrt 1/2) (sqrt 2)))) |
(+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))))) |
(+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/4 (/ (sqrt 1/2) (sqrt 2))))))) |
(+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))))))))) |
(+ 1 (* -1 (sqrt 1/2))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x)))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (+ (* -1/2 (/ (sqrt 1/2) x)) (* 1/8 (/ (sqrt 1/2) (pow x 2)))))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (+ (* -1/2 (/ (sqrt 1/2) x)) (+ (* 1/8 (/ (sqrt 1/2) (pow x 2))) (* 3/16 (/ (sqrt 1/2) (pow x 3))))))) |
(+ 1 (* -1 (sqrt 1/2))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* 1/2 (/ (sqrt 1/2) x)))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1 (/ (+ (* -1/2 (sqrt 1/2)) (* -1/8 (/ (sqrt 1/2) x))) x)))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (/ (sqrt 1/2) x)) (* 1/8 (sqrt 1/2))) x)) (* -1/2 (sqrt 1/2))) x)))) |
(sqrt 2) |
(+ (sqrt 2) (* -1/4 (/ (pow x 2) (sqrt 2)))) |
(+ (sqrt 2) (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/4 (/ 1 (sqrt 2)))))) |
(+ (sqrt 2) (* (pow x 2) (- (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/4 (/ 1 (sqrt 2)))))) |
1 |
(+ 1 (* 1/2 (/ 1 x))) |
(- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))) |
(+ 1 (+ (* -1 (/ (+ 1/8 (* 3/16 (/ 1 x))) (pow x 2))) (* 1/2 (/ 1 x)))) |
1 |
(- 1 (* 1/2 (/ 1 x))) |
(+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) x))) x))) |
2 |
(+ 2 (* -1/2 (pow x 2))) |
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))) |
1 |
(+ 1 (/ 1 x)) |
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3))) |
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3))) |
1 |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))) |
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))) |
1 |
(+ 1 (* -1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))) |
(/ 1 x) |
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x) |
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x) |
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x) |
(/ -1 x) |
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* -11/128 (pow x 4)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* -11/128 (pow x 4)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* 1/8 x) |
(* x (+ 1/8 (* -11/128 (pow x 2)))) |
(* x (+ 1/8 (* -11/128 (pow x 2)))) |
(* x (+ 1/8 (* -11/128 (pow x 2)))) |
(* -11/128 (pow x 3)) |
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* -11/128 (pow x 3)) |
(* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))) |
1/8 |
(+ 1/8 (* -11/128 (pow x 2))) |
(+ 1/8 (* -11/128 (pow x 2))) |
(+ 1/8 (* -11/128 (pow x 2))) |
(* -11/128 (pow x 2)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* -11/128 (pow x 2)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -11/128 x) |
(* -1 (* (sqrt (/ 1 x)) (sqrt 1/2))) |
(/ (- x (* (sqrt x) (sqrt 1/2))) x) |
(/ (- (* x (+ 1 (* -1/4 (* (sqrt x) (/ 1 (sqrt 1/2)))))) (* (sqrt x) (sqrt 1/2))) x) |
(/ (- (* x (+ 1 (* x (- (* 1/32 (* (sqrt x) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))))))) (* (sqrt x) (sqrt 1/2))) x) |
(- 1 (sqrt 1/2)) |
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) |
(- (+ 1 (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2))))) |
(- (+ 1 (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/128 (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5))))))) |
(- 1 (sqrt 1/2)) |
(- 1 (+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2)))))) |
(- (+ 1 (* -1 (/ (- (* 1/4 (/ 1 (sqrt 1/2))) (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3))))) x))) (sqrt 1/2)) |
(- (+ 1 (* -1 (/ (+ (* -1 (/ (- (* 1/32 (/ 1 (pow (sqrt 1/2) 3))) (* 1/128 (/ 1 (* x (pow (sqrt 1/2) 5))))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) (sqrt 1/2)) |
(* (sqrt (/ 1 x)) (sqrt 1/2)) |
(/ (+ (* 1/4 (* (sqrt (pow x 3)) (/ 1 (sqrt 1/2)))) (* (sqrt x) (sqrt 1/2))) x) |
(/ (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 2) (+ (* -1/32 (* (sqrt x) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2))))))) x) |
(/ (+ (* (sqrt x) (sqrt 1/2)) (* (pow x 2) (+ (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (sqrt 1/2)))) (* (pow x 2) (+ (* -1/32 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt 1/2) 3)))) (* 1/128 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt 1/2) 5))))))))) x) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(- (+ (sqrt 1/2) (/ 1/4 (* x (sqrt 1/2)))) (/ 1/32 (* (pow x 2) (pow (sqrt 1/2) 3)))) |
(- (+ (sqrt 1/2) (+ (/ 1/4 (* x (sqrt 1/2))) (* 1/128 (/ 1 (* (pow x 3) (pow (sqrt 1/2) 5)))))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/2) 3))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/4 (/ 1 (* x (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (- (* 1/32 (/ 1 (* x (pow (sqrt 1/2) 3)))) (* 1/4 (/ 1 (sqrt 1/2)))) x))) |
(+ (sqrt 1/2) (* -1 (/ (- (* -1 (/ (- (* 1/128 (/ 1 (* x (pow (sqrt 1/2) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/2) 3)))) x)) (* 1/4 (/ 1 (sqrt 1/2)))) x))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/2 x)) x) |
(/ (+ 1/2 (* 1/2 x)) x) |
(/ (+ 1/2 (* 1/2 x)) x) |
1/2 |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (* 1/2 (/ 1 x))) |
1/2 |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(+ 1/2 (* 1/2 (/ 1 x))) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(/ 1/2 x) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* 69/1024 (pow x 2)) 11/128)))) |
(* (pow x 2) (+ 1/8 (* (pow x 2) (- (* (pow x 2) (+ 69/1024 (* 397/32768 (pow x 2)))) 11/128)))) |
(* 5/32 (/ (pow x 6) (+ 1 (sqrt 1/2)))) |
(* (pow x 6) (- (* 5/32 (/ 1 (+ 1 (sqrt 1/2)))) (* 5/128 (/ 1 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))))) |
(* (pow x 6) (- (+ (* 5/512 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (* 5/1024 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 5/32 (/ 1 (+ 1 (sqrt 1/2)))))) (+ (/ 5/128 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 3/16 (/ 1 (* (pow x 2) (+ 1 (sqrt 1/2)))))))) |
(* (pow x 6) (- (+ (* -1 (/ (+ (* 5/4096 (/ 1 (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3)))) (+ (* 5/64 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 1/4 (/ (- (+ (* 5/1024 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 5/512 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (* 3/16 (/ 1 (+ 1 (sqrt 1/2))))) (* (sqrt 1/2) (+ 1 (sqrt 1/2))))))) (pow x 3))) (+ (* 5/512 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (+ (* 5/1024 (/ 1 (* (pow x 2) (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2))))) (* 5/32 (/ 1 (+ 1 (sqrt 1/2))))))) (+ (/ 5/128 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2)))) (* 3/16 (/ 1 (* (pow x 2) (+ 1 (sqrt 1/2)))))))) |
(* 5/32 (/ (pow x 6) (+ 1 (sqrt 1/2)))) |
(* (pow x 6) (+ (* 5/128 (/ 1 (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (* 5/32 (/ 1 (+ 1 (sqrt 1/2)))))) |
(* (pow x 6) (+ (* -1 (/ (- (* -1 (/ (- (+ (* 5/1024 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 5/512 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (* 3/16 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 5/128 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 5/32 (/ 1 (+ 1 (sqrt 1/2)))))) |
(* (pow x 6) (+ (* -1 (/ (- (* -1 (/ (- (+ (* 5/1024 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 5/512 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (+ (* 5/64 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (- (+ (* 5/1024 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 5/512 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (* 3/16 (/ 1 (+ 1 (sqrt 1/2))))) (* x (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (/ 5/4096 (* x (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3)))))))) (* 3/16 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 5/128 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 5/32 (/ 1 (+ 1 (sqrt 1/2)))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) |
(* 5/32 (pow x 6)) |
(* (pow x 6) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(* 5/32 (pow x 6)) |
(* (pow x 6) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(* (pow x 6) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(* 1/4 x) |
(* x (+ 1/4 (* -3/16 (pow x 2)))) |
(* x (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) |
(* x (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) |
(* 5/32 (pow x 5)) |
(* (pow x 5) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(* (pow x 5) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(* 5/32 (pow x 5)) |
(* -1 (* (pow x 5) (- (* 3/16 (/ 1 (pow x 2))) 5/32))) |
(* -1 (* (pow x 5) (- (* 3/16 (/ 1 (pow x 2))) (+ 5/32 (/ 1/4 (pow x 4)))))) |
(* -1 (* (pow x 5) (- (* 3/16 (/ 1 (pow x 2))) (+ 5/32 (/ 1/4 (pow x 4)))))) |
1/4 |
(+ 1/4 (* -3/16 (pow x 2))) |
(+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) |
(+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) |
(* 5/32 (pow x 4)) |
(* (pow x 4) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(* 5/32 (pow x 4)) |
(* (pow x 4) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(* (pow x 4) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(+ 1 (* (pow x 2) (- (pow x 2) 1))) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))) |
(/ 1 (pow x 2)) |
(/ (- 1 (/ 1 (pow x 2))) (pow x 2)) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2)) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (- 1 (/ 1 (pow x 2))) (pow x 2)) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2)) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
-3/16 |
(- (* 5/32 (pow x 2)) 3/16) |
(- (* 5/32 (pow x 2)) 3/16) |
(- (* 5/32 (pow x 2)) 3/16) |
(* 5/32 (pow x 2)) |
(* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(* 5/32 (pow x 2)) |
(* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(+ 1 (* -1 (* (sqrt 1/2) (sqrt 2)))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* 1/4 (/ (* (pow x 2) (sqrt 1/2)) (sqrt 2))))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) |
(+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/4 (/ (sqrt 1/2) (sqrt 2))))))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(+ 1 (+ (* -1 (* (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* 1/4 (/ (sqrt 1/2) (sqrt 2))) (* (pow x 2) (+ (* -1/2 (/ (* (sqrt 1/2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (* (pow x 2) (* (sqrt 1/2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 69/256 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -11/64 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))) |
(+ 1 (* -1 (sqrt 1/2))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1/2 (/ (sqrt 1/2) x)))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (+ (* -1/2 (/ (sqrt 1/2) x)) (* 1/8 (/ (sqrt 1/2) (pow x 2)))))) |
(+.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (+ (* -1/2 (/ (sqrt 1/2) x)) (+ (* 1/8 (/ (sqrt 1/2) (pow x 2))) (* 3/16 (/ (sqrt 1/2) (pow x 3))))))) |
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3/16 binary64)) (*.f64 x (*.f64 x x))))) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ 1 (* -1 (sqrt 1/2))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* 1/2 (/ (sqrt 1/2) x)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1 (/ (+ (* -1/2 (sqrt 1/2)) (* -1/8 (/ (sqrt 1/2) x))) x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) x)) |
(+ 1 (+ (* -1 (sqrt 1/2)) (* -1 (/ (+ (* -1 (/ (+ (* -3/16 (/ (sqrt 1/2) x)) (* 1/8 (sqrt 1/2))) x)) (* -1/2 (sqrt 1/2))) x)))) |
(-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal -3/16 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/8 binary64))) x)) x))) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* -1/4 (/ (pow x 2) (sqrt 2)))) |
(fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* (pow x 2) (- (* 1/2 (/ (* (pow x 2) (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/4 (/ 1 (sqrt 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (sqrt 2) (* (pow x 2) (- (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 5/16 (* -1/4 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 3/8 (* 1/16 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/4 (/ 1 (sqrt 2)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 #s(literal -69/512 binary64) (*.f64 x x)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 11/64 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1/4 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(- (+ 1 (* 1/2 (/ 1 x))) (/ 1/8 (pow x 2))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))) |
(+ 1 (+ (* -1 (/ (+ 1/8 (* 3/16 (/ 1 x))) (pow x 2))) (* 1/2 (/ 1 x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 3/16 binary64) x)) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 x))) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) x)) x)) |
(+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- (* 3/16 (/ 1 x)) 1/8) x))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 3/16 binary64) x)) x)) x)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 3/8 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/16 binary64) #s(literal 3/8 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (+ 1 (/ 1 x)) (/ 1/2 (pow x 3))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)) |
(- (+ 1 (+ (/ 1 x) (* 3/8 (/ 1 (pow x 5))))) (/ 1/2 (pow x 3))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(+ 1 (* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)) |
(+ 1 (* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 3/8 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/16 binary64) #s(literal 3/8 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x) |
(/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) x) |
(/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 6 binary64)))))) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (- 1 (* 1/2 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (neg.f64 x)) |
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (neg.f64 x)) |
(* -1 (/ (- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6))))) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 6 binary64)))))) (neg.f64 x)) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) |
(* (pow x 2) (+ 1/8 (* -11/128 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) |
(* -11/128 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -11/128 binary64))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* -11/128 (pow x 4)) |
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -11/128 binary64))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* x (+ 1/8 (* -11/128 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(* x (+ 1/8 (* -11/128 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(* x (+ 1/8 (* -11/128 (pow x 2)))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(* -11/128 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -11/128 binary64)) |
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) |
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) |
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) |
(* -11/128 (pow x 3)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -11/128 binary64)) |
(* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 11/128 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 11/128 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (- 11/128 (* 1/8 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 #s(literal 11/128 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (*.f64 x x)))) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* -11/128 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) |
(+ 1/8 (* -11/128 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) |
(+ 1/8 (* -11/128 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)) |
(* -11/128 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -11/128 binary64)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 11/128)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -11/128 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))) |
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(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 5/32 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 5/128 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))))) |
(* (pow x 6) (+ (* -1 (/ (- (* -1 (/ (- (+ (* 5/1024 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 5/512 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (* 3/16 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 5/128 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 5/32 (/ 1 (+ 1 (sqrt 1/2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 5/32 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (-.f64 (/.f64 #s(literal -5/128 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (+.f64 (/.f64 #s(literal 5/1024 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 #s(literal 5/256 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal -3/16 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x)) x))) |
(* (pow x 6) (+ (* -1 (/ (- (* -1 (/ (- (+ (* 5/1024 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (+ (* 5/512 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3)))) (+ (* 5/64 (/ (- (* 1/64 (/ 1 (pow (sqrt 1/2) 4))) 1/4) (* x (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) (+ (* 1/4 (/ (- (+ (* 5/1024 (/ 1 (* (pow (sqrt 1/2) 3) (pow (+ 1 (sqrt 1/2)) 2)))) (* 5/512 (/ 1 (* (pow (sqrt 1/2) 2) (pow (+ 1 (sqrt 1/2)) 3))))) (* 3/16 (/ 1 (+ 1 (sqrt 1/2))))) (* x (* (sqrt 1/2) (+ 1 (sqrt 1/2)))))) (/ 5/4096 (* x (* (pow (sqrt 1/2) 4) (pow (+ 1 (sqrt 1/2)) 3)))))))) (* 3/16 (/ 1 (+ 1 (sqrt 1/2))))) x)) (* 5/128 (/ 1 (* (sqrt 1/2) (pow (+ 1 (sqrt 1/2)) 2))))) x)) (* 5/32 (/ 1 (+ 1 (sqrt 1/2)))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 5/32 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 5/256 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 (fma.f64 #s(literal 5/64 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) #s(literal -5/256 binary64)) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5/1024 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (/.f64 #s(literal 5/256 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal -3/16 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 5/4096 binary64) (*.f64 x (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))))))) (+.f64 (/.f64 #s(literal 5/1024 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 #s(literal -3/16 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x) (/.f64 #s(literal 5/128 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) x))) |
(* 1/4 (pow x 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/4 (* -3/16 (pow x 2)))) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -3/16 binary64) #s(literal 1/4 binary64)))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64))) #s(literal 1/4 binary64))) |
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64))) #s(literal 1/4 binary64))) |
(* 5/32 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 5/32 binary64)) |
(* (pow x 6) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 5/32 binary64) (/.f64 #s(literal -3/16 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 5/32 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -3/16 binary64) (*.f64 x x))))) |
(* (pow x 6) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 5/32 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -3/16 binary64) (*.f64 x x))))) |
(* 5/32 (pow x 6)) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 5/32 binary64)) |
(* (pow x 6) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 5/32 binary64) (/.f64 #s(literal -3/16 binary64) (*.f64 x x)))) |
(* (pow x 6) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 5/32 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -3/16 binary64) (*.f64 x x))))) |
(* (pow x 6) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 5/32 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -3/16 binary64) (*.f64 x x))))) |
(* 1/4 x) |
(*.f64 #s(literal 1/4 binary64) x) |
(* x (+ 1/4 (* -3/16 (pow x 2)))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -3/16 binary64) #s(literal 1/4 binary64))) |
(* x (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64))) #s(literal 1/4 binary64))) |
(* x (+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16)))) |
(*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64))) #s(literal 1/4 binary64))) |
(* 5/32 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 5/32 binary64)) |
(* (pow x 5) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 5/32 binary64) (/.f64 #s(literal -3/16 binary64) (*.f64 x x)))) |
(* (pow x 5) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 5/32 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -3/16 binary64) (*.f64 x x))))) |
(* (pow x 5) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 5/32 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -3/16 binary64) (*.f64 x x))))) |
(* 5/32 (pow x 5)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 5/32 binary64)) |
(* -1 (* (pow x 5) (- (* 3/16 (/ 1 (pow x 2))) 5/32))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 5/32 binary64) (/.f64 #s(literal -3/16 binary64) (*.f64 x x)))) |
(* -1 (* (pow x 5) (- (* 3/16 (/ 1 (pow x 2))) (+ 5/32 (/ 1/4 (pow x 4)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x x)) (+.f64 #s(literal -5/32 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (* (pow x 5) (- (* 3/16 (/ 1 (pow x 2))) (+ 5/32 (/ 1/4 (pow x 4)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (*.f64 x x)) (+.f64 #s(literal -5/32 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* -3/16 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -3/16 binary64) #s(literal 1/4 binary64)) |
(+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64))) #s(literal 1/4 binary64)) |
(+ 1/4 (* (pow x 2) (- (* 5/32 (pow x 2)) 3/16))) |
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64))) #s(literal 1/4 binary64)) |
(* 5/32 (pow x 4)) |
(*.f64 #s(literal 5/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 5/32 binary64) (/.f64 #s(literal -3/16 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 5/32 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -3/16 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 5/32 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -3/16 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* 5/32 (pow x 4)) |
(*.f64 #s(literal 5/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 5/32 binary64) (/.f64 #s(literal -3/16 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 5/32 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -3/16 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))) |
(* (pow x 4) (- (+ 5/32 (/ 1/4 (pow x 4))) (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 #s(literal 5/32 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal -3/16 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+ 1 (* (pow x 2) (- (pow x 2) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (- 1 (/ 1 (pow x 2))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 x x)) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (- 1 (/ 1 (pow x 2))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) (*.f64 x x)) |
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) (pow x 2)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) x) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(neg.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(neg.f64 (fma.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) x))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)) |
-3/16 |
#s(literal -3/16 binary64) |
(- (* 5/32 (pow x 2)) 3/16) |
(fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) |
(- (* 5/32 (pow x 2)) 3/16) |
(fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) |
(- (* 5/32 (pow x 2)) 3/16) |
(fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) |
(* 5/32 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/32 binary64)) |
(* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 5/32 binary64) (/.f64 #s(literal -3/16 binary64) (*.f64 x x))))) |
(* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 5/32 binary64) (/.f64 #s(literal -3/16 binary64) (*.f64 x x))))) |
(* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 5/32 binary64) (/.f64 #s(literal -3/16 binary64) (*.f64 x x))))) |
(* 5/32 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 5/32 binary64)) |
(* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 5/32 binary64) (/.f64 #s(literal -3/16 binary64) (*.f64 x x))))) |
(* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 5/32 binary64) (/.f64 #s(literal -3/16 binary64) (*.f64 x x))))) |
(* (pow x 2) (- 5/32 (* 3/16 (/ 1 (pow x 2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 5/32 binary64) (/.f64 #s(literal -3/16 binary64) (*.f64 x x))))) |
Compiled 21 711 to 2 795 computations (87.1% saved)
13 alts after pruning (4 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 762 | 1 | 763 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 763 | 13 | 776 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.9% | (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
| ✓ | 53.1% | (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
| ✓ | 76.7% | (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| ✓ | 48.0% | (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| 54.7% | (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) | |
| ✓ | 75.8% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
| ✓ | 53.5% | (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) |
| ✓ | 53.9% | (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
| ✓ | 46.4% | (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) |
| 48.0% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) | |
| 48.0% | (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) | |
| ✓ | 12.4% | #s(literal 1/2 binary64) |
| 23.9% | #s(literal 0 binary64) |
Compiled 1 046 to 263 computations (74.9% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -5/32 binary64) #s(literal 3/16 binary64)) #s(literal -1/4 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 9/2 binary64))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal -3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (pow.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))))) |
| Outputs |
|---|
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
7 calls:
| 35.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 30.0ms | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 29.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 10.0ms | x |
| 9.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | x |
| 100.0% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 100.0% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 100.0% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 100.0% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 100.0% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 100.0% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
Compiled 54 to 37 computations (31.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
7 calls:
| 42.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 32.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 7.0ms | x |
| 6.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 5.0ms | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | x |
| 100.0% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 100.0% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 100.0% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 100.0% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 100.0% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 100.0% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
Compiled 54 to 37 computations (31.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))))))) |
(fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))))))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
7 calls:
| 32.0ms | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 22.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 6.0ms | x |
| 6.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 6.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | x |
| 99.2% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 99.2% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 99.2% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 99.2% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 99.2% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 99.2% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
Compiled 54 to 37 computations (31.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 3/16 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
7 calls:
| 6.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 5.0ms | x |
| 5.0ms | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 5.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 4.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 2 | x |
| 98.7% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 98.7% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 98.7% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 98.7% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 98.7% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 98.7% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
Compiled 54 to 37 computations (31.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))) |
(fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) |
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
7 calls:
| 14.0ms | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 6.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 5.0ms | x |
| 5.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 4.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | x |
| 98.6% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 98.6% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 98.6% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 98.6% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 98.6% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 98.6% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
Compiled 54 to 37 computations (31.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
7 calls:
| 5.0ms | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 5.0ms | x |
| 3.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 3.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 3.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 2 | x |
| 97.8% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 97.8% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 97.8% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 97.8% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 97.8% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 97.8% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
Compiled 54 to 37 computations (31.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
7 calls:
| 5.0ms | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 3.0ms | x |
| 3.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 3.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 3.0ms | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 2 | x |
| 97.8% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 97.8% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 97.8% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 97.8% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 97.8% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 97.8% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
Compiled 54 to 37 computations (31.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) |
7 calls:
| 6.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 3.0ms | x |
| 2.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 2.0ms | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 2 | x |
| 97.6% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 97.6% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 97.6% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 97.6% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 97.6% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 97.6% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
Compiled 54 to 37 computations (31.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
7 calls:
| 3.0ms | x |
| 2.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 2.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 2.0ms | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.1% | 2 | x |
| 56.1% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 56.1% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 56.1% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 56.1% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 56.1% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 56.1% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
Compiled 54 to 37 computations (31.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
7 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 2.0ms | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 2.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.0% | 2 | x |
| 32.6% | 2 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 32.6% | 2 | (hypot.f64 #s(literal 1 binary64) x) |
| 32.6% | 2 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 32.6% | 2 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 32.6% | 2 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 32.6% | 2 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
Compiled 54 to 37 computations (31.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
| Outputs |
|---|
#s(literal 0 binary64) |
7 calls:
| 2.0ms | x |
| 1.0ms | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 1.0ms | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 1.0ms | (hypot.f64 #s(literal 1 binary64) x) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 23.9% | 1 | (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))))) |
| 23.9% | 1 | (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))) |
| 23.9% | 1 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x))) |
| 23.9% | 1 | (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
| 23.9% | 1 | (-.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)))))) |
| 23.9% | 1 | (hypot.f64 #s(literal 1 binary64) x) |
| 23.9% | 1 | x |
Compiled 54 to 37 computations (31.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000001331143699 | 3.274278241892621 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000001331143699 | 3.274278241892621 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000001331143699 | 3.274278241892621 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000001331143699 | 3.274278241892621 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000001331143699 | 3.274278241892621 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000001331143699 | 3.274278241892621 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000001331143699 | 3.274278241892621 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.000001331143699 | 3.274278241892621 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.30541081915566626 | 0.9999986688580729 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 542.0ms | 7.008770298998665e-78 | 2.0742171976646608e-72 |
| 536.0ms | 144× | 1 | valid |
Compiled 75 to 67 computations (10.7% saved)
ival-hypot: 519.0ms (97.8% of total)ival-div: 2.0ms (0.4% of total)adjust: 2.0ms (0.4% of total)ival-mult: 2.0ms (0.4% of total)ival-sqrt: 2.0ms (0.4% of total)ival-add: 1.0ms (0.2% of total)ival-sub: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 26× | *-commutative_binary64 |
| 22× | +-commutative_binary64 |
| 16× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 257 |
| 1 | 77 | 257 |
| 2 | 91 | 257 |
| 3 | 101 | 257 |
| 4 | 108 | 257 |
| 5 | 110 | 257 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(if (<=.f64 x #s(literal 1597036205446237/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 5/32 binary64) #s(literal -3/16 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/2 binary64))))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 69/1024 binary64) #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -11/128 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(if (<=.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x x))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
(if (<=.f64 x #s(literal 1597036205446237/65185151242703554760590262029100101153646988597309960020356494379340201592426774597868716032 binary64)) #s(literal 0 binary64) #s(literal 1/2 binary64)) |
#s(literal 0 binary64) |
| 15 944× | lower-fma.f64 |
| 15 944× | lower-fma.f32 |
| 12 216× | lower-fma.f64 |
| 12 216× | lower-fma.f32 |
| 6 184× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 643 | 4981 |
| 1 | 2022 | 4367 |
| 2 | 7078 | 4348 |
| 0 | 8088 | 4176 |
| 0 | 36 | 175 |
| 0 | 69 | 175 |
| 1 | 275 | 170 |
| 2 | 1991 | 170 |
| 0 | 8333 | 170 |
| 0 | 9 | 46 |
| 0 | 18 | 46 |
| 1 | 78 | 40 |
| 2 | 562 | 40 |
| 3 | 5208 | 40 |
| 0 | 8823 | 40 |
| 0 | 232 | 991 |
| 1 | 674 | 917 |
| 2 | 1886 | 877 |
| 3 | 5894 | 834 |
| 0 | 8222 | 781 |
| 0 | 26 | 115 |
| 0 | 47 | 115 |
| 1 | 208 | 115 |
| 2 | 1516 | 115 |
| 0 | 8161 | 115 |
| 0 | 324 | 2066 |
| 1 | 985 | 1956 |
| 2 | 3083 | 1892 |
| 0 | 8073 | 1812 |
| 0 | 33 | 269 |
| 0 | 60 | 267 |
| 1 | 270 | 240 |
| 2 | 2193 | 239 |
| 0 | 8763 | 239 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 463 to 198 computations (57.2% saved)
(abs x)
Compiled 656 to 176 computations (73.2% saved)
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