
Time bar (total: 9.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 100% | 50% | 0% | 0.1% | 0% | 50% | 0% | 2 |
Compiled 16 to 14 computations (12.5% saved)
| 695.0ms | 8 256× | 0 | valid |
ival-mult: 130.0ms (30.9% of total)ival-div: 107.0ms (25.4% of total)ival-sub: 93.0ms (22.1% of total)ival-sqrt: 73.0ms (17.3% of total)exact: 10.0ms (2.4% of total)ival-true: 6.0ms (1.4% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 2 | 0 | - | 2 | (2.1944439692028212e+307 -5.2220631167628165e+303) | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 9 binary64) |
| 0 | 2 | (1.3083378951253964e+308 -2.5473206417890006e-277) | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
| 0 | 20 | (4.4954807034319554e+226 1.9149557732811314e+276) | 0 | - | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 9 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | oflow-right | 18 | 0 |
-.f64 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | oflow-right | 2 | 0 |
-.f64 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | oflow-left | 2 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 20 | 236 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 20 | 0 | 236 |
| number | freq |
|---|---|
| 0 | 236 |
| 1 | 18 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 48.0ms | 512× | 0 | valid |
Compiled 160 to 73 computations (54.4% saved)
ival-div: 11.0ms (42.2% of total)ival-mult: 6.0ms (23% of total)ival-sub: 4.0ms (15.3% of total)ival-sqrt: 4.0ms (15.3% of total)exact: 1.0ms (3.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 736× | lower-fma.f64 |
| 736× | lower-fma.f32 |
| 560× | times-frac |
| 400× | lower-*.f32 |
| 396× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 78 |
| 1 | 80 | 64 |
| 2 | 237 | 62 |
| 3 | 650 | 62 |
| 4 | 1488 | 62 |
| 5 | 2867 | 62 |
| 6 | 3479 | 62 |
| 7 | 3590 | 62 |
| 8 | 3622 | 62 |
| 9 | 3626 | 62 |
| 10 | 3626 | 62 |
| 11 | 3630 | 62 |
| 0 | 12 | 14 |
| 0 | 19 | 14 |
| 1 | 33 | 12 |
| 2 | 71 | 12 |
| 3 | 147 | 12 |
| 4 | 270 | 12 |
| 5 | 507 | 12 |
| 6 | 1005 | 12 |
| 7 | 1271 | 12 |
| 8 | 1362 | 12 |
| 9 | 1376 | 12 |
| 10 | 1379 | 12 |
| 0 | 1379 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
Compiled 16 to 12 computations (25% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 16 to 12 computations (25% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 9 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) | |
| cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 736× | lower-fma.f64 |
| 736× | lower-fma.f32 |
| 400× | lower-*.f32 |
| 396× | lower-*.f64 |
| 186× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 0 | 19 | 46 |
| 1 | 33 | 40 |
| 2 | 71 | 40 |
| 3 | 147 | 40 |
| 4 | 270 | 40 |
| 5 | 507 | 40 |
| 6 | 1005 | 40 |
| 7 | 1271 | 40 |
| 8 | 1362 | 40 |
| 9 | 1376 | 40 |
| 10 | 1379 | 40 |
| 0 | 1379 | 39 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 x #s(literal 9 binary64)) |
x |
#s(literal 9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(*.f64 x #s(literal 9 binary64)) |
x |
#s(literal 9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| accuracy | 0.21875 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.27734375 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.6412218008732153 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
| 22.0ms | 256× | 0 | valid |
Compiled 48 to 14 computations (70.8% saved)
ival-sqrt: 5.0ms (37.1% of total)ival-div: 3.0ms (22.3% of total)ival-mult: 3.0ms (22.3% of total)ival-sub: 2.0ms (14.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))> |
#<alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))> |
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))> |
#<alt (*.f64 x #s(literal 9 binary64))> |
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))> |
#<alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))> |
| Outputs |
|---|
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ -1/9 x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 9 x)> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | 0 | (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) |
| 1.0ms | x | @ | 0 | (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) |
| 1.0ms | x | @ | -inf | (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) |
| 1.0ms | x | @ | -inf | (* 3 (sqrt x)) |
| 0.0ms | y | @ | 0 | (/ y (* 3 (sqrt x))) |
| 1× | egg-herbie |
| 7 662× | lower-fma.f64 |
| 7 662× | lower-fma.f32 |
| 2 338× | lower-*.f64 |
| 2 338× | lower-*.f32 |
| 1 352× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 660 |
| 1 | 129 | 660 |
| 2 | 304 | 659 |
| 3 | 778 | 659 |
| 4 | 1976 | 659 |
| 5 | 3988 | 659 |
| 6 | 5217 | 659 |
| 7 | 6399 | 659 |
| 8 | 7521 | 659 |
| 9 | 7907 | 659 |
| 0 | 8011 | 638 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 9 x) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 9 x) |
(*.f64 x #s(literal 9 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
| 8 268× | lower-fma.f64 |
| 8 268× | lower-fma.f32 |
| 5 066× | lower-*.f32 |
| 5 062× | lower-*.f64 |
| 4 670× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 39 |
| 0 | 19 | 39 |
| 1 | 74 | 33 |
| 2 | 789 | 33 |
| 0 | 8366 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
| Outputs |
|---|
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (sqrt.f64 x)) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -2 binary64)) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (*.f64 x (*.f64 #s(literal 27 binary64) (sqrt.f64 x))))))) |
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) x)))) |
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) |
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
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(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -9 binary64))) |
(neg.f64 (*.f64 x #s(literal -9 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 x #s(literal 1/9 binary64)) |
(/.f64 #s(literal 9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(*.f64 x #s(literal 9 binary64)) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 #s(literal 9 binary64) (neg.f64 (neg.f64 x))) |
(*.f64 #s(literal 9 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64))) |
(*.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) (*.f64 x #s(literal -3 binary64))) |
(*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -3 binary64)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(*.f64 #s(literal -9 binary64) (neg.f64 x)) |
(*.f64 #s(literal -9 binary64) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) #s(literal -9 binary64)) |
(*.f64 (neg.f64 (neg.f64 x)) #s(literal 9 binary64)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (sqrt.f64 x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -9 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) (neg.f64 (sqrt.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(neg.f64 (*.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (sqrt.f64 x)))) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 x) y))) |
(/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3 binary64) y)) |
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y)) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64)) |
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -3 binary64)) |
(/.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 3 binary64)) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 3 binary64)) |
(/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 y)) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x))) |
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1/2 binary64))) |
Compiled 16 283 to 1 294 computations (92.1% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 512 | 12 | 524 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 513 | 12 | 525 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
| 99.6% | (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) | |
| 99.5% | (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| ▶ | 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) | |
| 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))) | |
| 99.7% | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (sqrt.f64 x))))) | |
| ▶ | 72.9% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 67.0% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 65.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) | |
| ▶ | 59.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
| ▶ | 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) |
Compiled 334 to 248 computations (25.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) | |
| cost-diff | 0 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/9 binary64) x) | |
| cost-diff | 0 | #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) | |
| cost-diff | 128 | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/9 binary64) x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) | |
| cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 704 | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
| 992× | lower-fma.f32 |
| 990× | lower-fma.f64 |
| 576× | lower-*.f32 |
| 570× | lower-*.f64 |
| 234× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 211 |
| 0 | 48 | 214 |
| 1 | 81 | 196 |
| 2 | 136 | 196 |
| 3 | 228 | 196 |
| 4 | 381 | 196 |
| 5 | 681 | 196 |
| 6 | 1244 | 196 |
| 7 | 1679 | 196 |
| 8 | 1903 | 196 |
| 9 | 2156 | 196 |
| 10 | 2163 | 196 |
| 11 | 2169 | 196 |
| 12 | 2171 | 196 |
| 0 | 2171 | 190 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(literal 9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
#s(literal -1/9 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y #s(literal -1/3 binary64)) |
y |
#s(literal -1/3 binary64) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) x) |
#s(literal -1/9 binary64) |
x |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal -1/9 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(literal 9 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1/9 binary64) x) |
#s(literal -1/9 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 y #s(literal -1/3 binary64)) |
y |
#s(literal -1/3 binary64) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) x) |
#s(literal -1/9 binary64) |
x |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal -1/9 binary64) |
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.125 | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) | |
| accuracy | 0.21875 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.27734375 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.21875 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.27734375 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.33984375 | (/.f64 #s(literal -1/9 binary64) x) | |
| accuracy | 28.907082656006875 | #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) | |
| accuracy | 0.11328125 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.28515625 | (*.f64 y #s(literal -1/3 binary64)) | |
| accuracy | 0.3125 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) | |
| accuracy | 37.63046870248974 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) | |
| accuracy | 0.33984375 | (/.f64 #s(literal -1/9 binary64) x) | |
| accuracy | 26.025371275308856 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) | |
| accuracy | 0.01171875 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| accuracy | 0.21875 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.23046875 | (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) | |
| accuracy | 0.27734375 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
| 56.0ms | 256× | 0 | valid |
Compiled 191 to 28 computations (85.3% saved)
ival-div: 10.0ms (28.4% of total)const: 8.0ms (22.7% of total)ival-mult: 7.0ms (19.9% of total)ival-sub: 5.0ms (14.2% of total)ival-sqrt: 3.0ms (8.5% of total)ival-add: 2.0ms (5.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))> |
#<alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))> |
#<alt (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))> |
#<alt (/.f64 #s(literal -1/9 binary64) x)> |
#<alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))))> |
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))> |
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))> |
#<alt (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))> |
#<alt #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))> |
#<alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))> |
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))> |
#<alt (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))> |
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))> |
#<alt (*.f64 y #s(literal -1/3 binary64))> |
#<alt (sqrt.f64 x)> |
| Outputs |
|---|
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ -1/9 x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ -1/9 x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (sqrt (/ 1 x))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ -1/9 x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))> |
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))> |
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)> |
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)> |
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) |
| 2.0ms | x | @ | -inf | (/ 1 x) |
| 1.0ms | x | @ | -inf | (* (sqrt (/ 1 x)) (* y -1/3)) |
| 0.0ms | y | @ | -inf | (* y -1/3) |
| 0.0ms | y | @ | inf | (* y -1/3) |
| 1× | egg-herbie |
| 6 036× | lower-fma.f64 |
| 6 036× | lower-fma.f32 |
| 3 236× | lower-*.f64 |
| 3 236× | lower-*.f32 |
| 2 760× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 2673 |
| 1 | 164 | 2516 |
| 2 | 408 | 2512 |
| 3 | 1077 | 2512 |
| 4 | 3610 | 2512 |
| 5 | 6910 | 2512 |
| 0 | 8065 | 2387 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(sqrt (/ 1 x)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
1 |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x))))) |
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x))))) |
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(/ (- x (* 1/3 (* (sqrt x) y))) x) |
(/ (- x (* 1/3 (* (sqrt x) y))) x) |
(/ (- x (* 1/3 (* (sqrt x) y))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1/9 binary64)) x)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(/ (- x (* 1/3 (* (sqrt x) y))) x) |
(fma.f64 (sqrt.f64 x) (/.f64 (*.f64 y #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) |
(/ (- x (* 1/3 (* (sqrt x) y))) x) |
(fma.f64 (sqrt.f64 x) (/.f64 (*.f64 y #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) |
(/ (- x (* 1/3 (* (sqrt x) y))) x) |
(fma.f64 (sqrt.f64 x) (/.f64 (*.f64 y #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
| 10 450× | lower-fma.f32 |
| 10 448× | lower-fma.f64 |
| 4 624× | lower-/.f32 |
| 4 616× | lower-/.f64 |
| 3 056× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 157 |
| 0 | 48 | 160 |
| 1 | 216 | 137 |
| 2 | 1816 | 137 |
| 0 | 8712 | 131 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) x) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 y #s(literal -1/3 binary64)) |
(sqrt.f64 x) |
| Outputs |
|---|
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/9 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal -1/9 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64))) (fma.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))) |
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))) |
(+.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))))) |
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (fma.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64))) (fma.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (neg.f64 y)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 x)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 y #s(literal 1/3 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
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(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 y #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (sqrt.f64 x)))) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)))) (neg.f64 (neg.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1/27 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)))) (fma.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) #s(literal 1 binary64)) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x)))))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 y #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(sqrt.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(/.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64))) |
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
Compiled 33 434 to 1 702 computations (94.9% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 417 | 16 | 1 433 |
| Fresh | 6 | 1 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 426 | 19 | 1 445 |
| Status | Accuracy | Program |
|---|---|---|
| 72.8% | (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) | |
| ▶ | 59.2% | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
| ▶ | 99.5% | (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 67.0% | (-.f64 #s(approx (- 1 (/ (/ 1 x) 9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 72.8% | (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) | |
| ▶ | 65.8% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
| 27.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) | |
| 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) | |
| ▶ | 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
| 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y))) | |
| 27.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) | |
| 59.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) | |
| 59.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) | |
| ✓ | 59.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
| ✓ | 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) |
| 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) | |
| 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) | |
| 33.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) | |
| ▶ | 27.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
Compiled 369 to 260 computations (29.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) | |
| cost-diff | 0 | (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) | |
| cost-diff | 0 | #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 128 | (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| cost-diff | 12544 | (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| 10 816× | lower-fma.f32 |
| 10 812× | lower-fma.f64 |
| 2 932× | lower-+.f64 |
| 2 932× | lower-+.f32 |
| 1 640× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 205 |
| 0 | 62 | 204 |
| 1 | 101 | 192 |
| 2 | 168 | 186 |
| 3 | 261 | 186 |
| 4 | 398 | 186 |
| 5 | 677 | 186 |
| 6 | 1328 | 186 |
| 7 | 2310 | 186 |
| 8 | 3116 | 186 |
| 9 | 4855 | 186 |
| 10 | 5554 | 186 |
| 11 | 6005 | 186 |
| 12 | 6138 | 186 |
| 13 | 6205 | 186 |
| 14 | 6246 | 186 |
| 15 | 6828 | 186 |
| 16 | 7174 | 186 |
| 17 | 7272 | 186 |
| 18 | 7306 | 186 |
| 19 | 7326 | 186 |
| 20 | 7326 | 186 |
| 0 | 8298 | 180 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 9 binary64)) |
x |
#s(literal 9 binary64) |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal -1/9 binary64) |
#s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
y |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(sqrt.f64 x) |
x |
(*.f64 y #s(literal -1/3 binary64)) |
y |
#s(literal -1/3 binary64) |
#s(literal -1/9 binary64) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
#s(literal 1 binary64) |
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) |
(*.f64 x #s(literal 9 binary64)) |
x |
#s(literal 9 binary64) |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
y |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
#s(literal 3 binary64) |
(sqrt.f64 x) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
(+.f64 #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal -1/9 binary64) |
#s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
y |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(sqrt.f64 x) |
x |
#s(literal -3 binary64) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/.f64 (fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(fma.f64 y (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(sqrt.f64 x) |
x |
(*.f64 y #s(literal -1/3 binary64)) |
y |
#s(literal -1/3 binary64) |
#s(literal -1/9 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16244125976844204 | (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) | |
| accuracy | 0.28515625 | (*.f64 y #s(literal -1/3 binary64)) | |
| accuracy | 4.7725700076542354 | (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) | |
| accuracy | 17.10747600340397 | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.21875 | (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) | |
| accuracy | 0.27734375 | (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) | |
| accuracy | 37.63046870248974 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.125 | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) | |
| accuracy | 32.62081205005008 | #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)) | |
| accuracy | 26.025371275308856 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) | |
| accuracy | 34.892529324117504 | #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)) | |
| accuracy | 0.21875 | (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) | |
| accuracy | 0.27734375 | (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) | |
| accuracy | 0.5084762695368841 | (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.6171485801725356 | (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) |
| 137.0ms | 256× | 0 | valid |
Compiled 179 to 38 computations (78.8% saved)
const: 40.0ms (37.2% of total)ival-div: 37.0ms (34.4% of total)ival-mult: 9.0ms (8.4% of total)ival-sub: 7.0ms (6.5% of total)ival-pow: 7.0ms (6.5% of total)ival-add: 3.0ms (2.8% of total)ival-pow2: 3.0ms (2.8% of total)ival-sqrt: 2.0ms (1.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))> |
#<alt (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))> |
#<alt (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))> |
#<alt (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))> |
#<alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))> |
#<alt #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))> |
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))> |
#<alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))> |
#<alt (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))> |
#<alt (*.f64 (sqrt.f64 x) #s(literal -3 binary64))> |
#<alt (sqrt.f64 x)> |
#<alt #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x))> |
#<alt (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)> |
#<alt (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))> |
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))> |
#<alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))> |
#<alt (*.f64 y #s(literal -1/3 binary64))> |
| Outputs |
|---|
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (/ 1/9 x)> |
#<alt (* -1 (/ (pow (sqrt -1/9) 2) x))> |
#<alt (* -1 (/ (pow (sqrt -1/9) 2) x))> |
#<alt (* -1 (/ (pow (sqrt -1/9) 2) x))> |
#<alt (* -1 (/ (pow (sqrt -1/9) 2) x))> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ -1/9 x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (/ (pow (sqrt -1/9) 2) x))> |
#<alt (+ 1 (/ (pow (sqrt -1/9) 2) x))> |
#<alt (+ 1 (/ (pow (sqrt -1/9) 2) x))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* 1/3 (sqrt (/ 1 x)))> |
#<alt (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))> |
#<alt (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))> |
#<alt (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))> |
#<alt (* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9)))> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ -1/9 x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt 1> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))> |
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))> |
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)> |
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)> |
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* -3 (sqrt x))> |
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)> |
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)> |
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)> |
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))> |
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))> |
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))> |
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))> |
#<alt (/ -1/9 x)> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))> |
#<alt -1/9> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))> |
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))> |
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* 3 (sqrt x))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | (/ (+ (* (sqrt x) (* y -1/3)) -1/9) x) |
| 1.0ms | x | @ | -inf | (pow (pow (* x 9) -1/2) 2) |
| 1.0ms | x | @ | -inf | (/ (+ (* (sqrt x) (* y -1/3)) -1/9) x) |
| 1.0ms | y | @ | 0 | (/ (+ (* (sqrt x) (* y -1/3)) -1/9) x) |
| 0.0ms | y | @ | inf | (/ (+ (* (sqrt x) (* y -1/3)) -1/9) x) |
| 1× | egg-herbie |
| 8 044× | lower-fma.f64 |
| 8 044× | lower-fma.f32 |
| 3 986× | lower-*.f64 |
| 3 986× | lower-*.f32 |
| 1 592× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 2987 |
| 1 | 281 | 2978 |
| 2 | 804 | 2966 |
| 3 | 2210 | 2966 |
| 4 | 5490 | 2966 |
| 5 | 7934 | 2966 |
| 0 | 8164 | 2803 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(/ 1/9 x) |
(* -1 (/ (pow (sqrt -1/9) 2) x)) |
(* -1 (/ (pow (sqrt -1/9) 2) x)) |
(* -1 (/ (pow (sqrt -1/9) 2) x)) |
(* -1 (/ (pow (sqrt -1/9) 2) x)) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
1 |
(+ 1 (/ (pow (sqrt -1/9) 2) x)) |
(+ 1 (/ (pow (sqrt -1/9) 2) x)) |
(+ 1 (/ (pow (sqrt -1/9) 2) x)) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* 1/3 (sqrt (/ 1 x))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9))) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
1 |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x))))) |
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x))))) |
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(/ (- x (* 1/3 (* (sqrt x) y))) x) |
(/ (- x (* 1/3 (* (sqrt x) y))) x) |
(/ (- x (* 1/3 (* (sqrt x) y))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* -3 (sqrt x)) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 3 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(/ -1/9 x) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(* -1/3 (* (sqrt x) y)) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
-1/9 |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(* -1/3 (* (sqrt x) y)) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* -1/3 (* (sqrt x) y)) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* 3 (sqrt x)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
| Outputs |
|---|
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (pow (sqrt -1/9) 2) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (pow (sqrt -1/9) 2) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (pow (sqrt -1/9) 2) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (pow (sqrt -1/9) 2) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (/ (pow (sqrt -1/9) 2) x)) (* 1/3 (* (sqrt (/ 1 x)) y))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (pow (sqrt -1/9) 2) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(+ 1 (/ (pow (sqrt -1/9) 2) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(+ 1 (/ (pow (sqrt -1/9) 2) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* 1/3 (sqrt (/ 1 x))) |
(*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9))) |
(*.f64 (sqrt.f64 #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9))) |
(*.f64 (sqrt.f64 #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9))) |
(*.f64 (sqrt.f64 #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(* (sqrt (/ 1 x)) (* (sqrt -1) (sqrt -1/9))) |
(*.f64 (sqrt.f64 #s(literal -1/9 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- x 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
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(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
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(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64))) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(* -1/3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (*.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (*.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (*.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (*.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (*.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y (*.f64 x #s(literal -1/3 binary64))) #s(literal -1/9 binary64)) |
-1/9 |
#s(literal -1/9 binary64) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(* -1/3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(* -1/3 (* (sqrt x) y)) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 3 (sqrt x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* -3 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* 1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
(* -1/3 y) |
(*.f64 y #s(literal -1/3 binary64)) |
| 10 850× | lower-fma.f32 |
| 10 846× | lower-fma.f64 |
| 4 362× | lower-/.f32 |
| 4 354× | lower-/.f64 |
| 3 266× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 180 |
| 0 | 62 | 173 |
| 1 | 273 | 161 |
| 2 | 1873 | 161 |
| 0 | 8734 | 155 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal -3 binary64)) |
(sqrt.f64 x) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) |
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 y #s(literal -1/3 binary64)) |
| Outputs |
|---|
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal -9 binary64)))) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/9 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal -1/9 binary64))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal -9 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal -9 binary64))) (*.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal -9 binary64)))) #s(literal -1/4 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x #s(literal 9 binary64))))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (pow.f64 (*.f64 #s(literal 9 binary64) (*.f64 x #s(literal 9 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/9 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -3/4 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -3/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -3/4 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1/9 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -1/9 binary64)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 9 binary64)) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 9 binary64) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/4 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))) (neg.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))))) |
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))) |
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 y #s(literal 1/3 binary64))) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))) (/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (neg.f64 y)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 x)) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (*.f64 y #s(literal 1/3 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64)) (sqrt.f64 x)))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (neg.f64 y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (sqrt.f64 x))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 y #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (sqrt.f64 x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))))) (/.f64 (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))))) |
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal -3 binary64) y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
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(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal -27 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(*.f64 #s(literal 3 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -3 binary64) (neg.f64 (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -3 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (sqrt.f64 x)))) |
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y)) |
(/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)) |
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 x))) |
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x))) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64)) |
(*.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x))) |
(*.f64 (/.f64 y (neg.f64 (sqrt.f64 x))) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) y)) |
(/.f64 y #s(literal -3 binary64)) |
(/.f64 (neg.f64 y) #s(literal 3 binary64)) |
(*.f64 y #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
Compiled 17 488 to 1 450 computations (91.7% saved)
20 alts after pruning (14 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 922 | 7 | 929 |
| Fresh | 5 | 7 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 928 | 20 | 948 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.8% | (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
| ✓ | 59.2% | (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
| 67.0% | (-.f64 #s(approx (- 1 (pow (pow (* x 9) -1/2) 2)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) | |
| 65.8% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)) | |
| ✓ | 65.8% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
| 50.5% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 x (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (*.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x))) | |
| ▶ | 34.0% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)) |
| ▶ | 33.1% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
| 27.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) | |
| 41.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) | |
| ▶ | 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
| ✓ | 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
| 27.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) | |
| 59.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) | |
| ▶ | 59.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
| ✓ | 59.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
| 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) | |
| ✓ | 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) |
| 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) | |
| ✓ | 27.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
Compiled 358 to 237 computations (33.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (*.f64 y #s(literal -1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) | |
| cost-diff | 0 | (*.f64 x #s(literal -9 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) | |
| cost-diff | 320 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) | |
| cost-diff | 0 | #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 y (sqrt.f64 x)) | |
| cost-diff | 0 | (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
| 1 152× | lower-fma.f32 |
| 1 150× | lower-fma.f64 |
| 672× | lower-*.f32 |
| 666× | lower-*.f64 |
| 286× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 245 |
| 0 | 54 | 243 |
| 1 | 87 | 227 |
| 2 | 134 | 227 |
| 3 | 208 | 227 |
| 4 | 332 | 227 |
| 5 | 602 | 227 |
| 6 | 1261 | 227 |
| 7 | 1792 | 227 |
| 8 | 1989 | 227 |
| 9 | 2081 | 227 |
| 10 | 2151 | 227 |
| 11 | 2203 | 227 |
| 12 | 2264 | 227 |
| 13 | 2322 | 227 |
| 14 | 2340 | 227 |
| 0 | 2340 | 217 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
#s(literal -1/3 binary64) |
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) x) |
#s(literal -1/9 binary64) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x) |
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) |
#s(literal -1/9 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
(*.f64 x #s(literal -9 binary64)) |
x |
#s(literal -9 binary64) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) |
(*.f64 y #s(literal -1/3 binary64)) |
y |
#s(literal -1/3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)) |
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x) |
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))) |
(sqrt.f64 x) |
x |
(*.f64 y #s(literal -1/3 binary64)) |
y |
#s(literal -1/3 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(/.f64 y (sqrt.f64 x)) |
y |
(sqrt.f64 x) |
x |
#s(literal -1/3 binary64) |
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) x) |
#s(literal -1/9 binary64) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x) |
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) |
#s(literal -1/9 binary64) |
x |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
(/.f64 #s(literal -1/9 binary64) x) |
(*.f64 x #s(literal -9 binary64)) |
x |
#s(literal -9 binary64) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 y #s(literal -1/3 binary64)) |
y |
#s(literal -1/3 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)))) x)) |
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x) |
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)))) x) |
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) |
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x))) |
(sqrt.f64 x) |
x |
(*.f64 y #s(literal -1/3 binary64)) |
y |
#s(literal -1/3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.30306625976844204 | (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))) | |
| accuracy | 4.7725700076542354 | (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x) | |
| accuracy | 17.10747600340397 | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)) | |
| accuracy | 30.047802971592628 | #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) | |
| accuracy | 0 | (sqrt.f64 x) | |
| accuracy | 0.28515625 | (*.f64 y #s(literal -1/3 binary64)) | |
| accuracy | 0.29296875 | (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) | |
| accuracy | 37.63046870248974 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) | |
| accuracy | 0 | (*.f64 x #s(literal -9 binary64)) | |
| accuracy | 0.6412218008732153 | (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) | |
| accuracy | 26.025371275308856 | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) | |
| accuracy | 4.7725700076542354 | (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x) | |
| accuracy | 17.10747600340397 | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) | |
| accuracy | 33.491755345303304 | #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) | |
| accuracy | 0.14453125 | (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) | |
| accuracy | 0.16796875 | (/.f64 y (sqrt.f64 x)) | |
| accuracy | 0.33984375 | (/.f64 #s(literal -1/9 binary64) x) | |
| accuracy | 28.907082656006875 | #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) |
| 55.0ms | 256× | 0 | valid |
Compiled 176 to 33 computations (81.3% saved)
ival-div: 13.0ms (33% of total)ival-mult: 8.0ms (20.3% of total)const: 7.0ms (17.8% of total)ival-add: 4.0ms (10.2% of total)ival-sub: 4.0ms (10.2% of total)ival-sqrt: 2.0ms (5.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)))> |
#<alt (/.f64 y (sqrt.f64 x))> |
#<alt (sqrt.f64 x)> |
#<alt #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))> |
#<alt #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x))> |
#<alt (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)> |
#<alt #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))> |
#<alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))> |
#<alt (*.f64 x #s(literal -9 binary64))> |
#<alt #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))> |
#<alt (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))> |
#<alt (*.f64 y #s(literal -1/3 binary64))> |
#<alt #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x))> |
#<alt (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)> |
#<alt #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))))> |
#<alt (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))> |
#<alt (/.f64 #s(literal -1/9 binary64) x)> |
| Outputs |
|---|
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))> |
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))> |
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))> |
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)> |
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)> |
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)> |
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (* (sqrt (/ 1 x)) y)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (sqrt x)> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))> |
#<alt (/ -1/9 x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)> |
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)> |
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)> |
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))> |
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))> |
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))> |
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))> |
#<alt (/ -1/9 x)> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))> |
#<alt -1/9> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))> |
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))> |
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ -1/9 x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt (/ (- x 1/9) x)> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt 1> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1/3 y)> |
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (- 1 (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))> |
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)> |
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)> |
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)> |
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))> |
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))> |
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))> |
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))> |
#<alt (/ -1/9 x)> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))> |
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))> |
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))> |
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))> |
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))> |
#<alt -1/9> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))> |
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))> |
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))> |
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (* -1/3 (* (sqrt x) y))> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | y | @ | 0 | (* (sqrt x) (* y -1/3)) |
| 0.0ms | x | @ | 0 | (* x -9) |
| 0.0ms | y | @ | -inf | (/ y (sqrt x)) |
| 0.0ms | y | @ | inf | (* (sqrt x) (* y -1/3)) |
| 0.0ms | y | @ | 0 | (+ (* (/ y (sqrt x)) -1/3) (- 1 (/ 1 (* x 9)))) |
| 1× | egg-herbie |
| 6 678× | lower-fma.f64 |
| 6 678× | lower-fma.f32 |
| 3 676× | lower-*.f64 |
| 3 676× | lower-*.f32 |
| 2 262× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 3169 |
| 1 | 261 | 3169 |
| 2 | 782 | 3145 |
| 3 | 2063 | 3145 |
| 4 | 5219 | 3145 |
| 5 | 7733 | 3145 |
| 0 | 8623 | 2964 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(* (sqrt (/ 1 x)) y) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(sqrt x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(/ -1/9 x) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(* -1/3 (* (sqrt x) y)) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
-1/9 |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(* -1/3 (* (sqrt x) y)) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* -1/3 (* (sqrt x) y)) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ -1/9 x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
(/ (- x 1/9) x) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
1 |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(- 1 (* 1/9 (/ 1 x))) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1/3 y) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(- 1 (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(/ -1/9 x) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(* -1/3 (* (sqrt x) y)) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))))) |
-1/9 |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(- (* -1/3 (* (sqrt x) y)) 1/9) |
(* -1/3 (* (sqrt x) y)) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y)))) |
(* -1/3 (* (sqrt x) y)) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y))))) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2)))) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(* -1/3 (* (sqrt x) y)) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
| Outputs |
|---|
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y)) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y)) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal -1/9 binary64)) x) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal -1/9 binary64)) x)) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal -1/9 binary64)) x)) |
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal -1/9 binary64)) x)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(* (sqrt (/ 1 x)) y) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(sqrt x) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ (- x 1/9) x) |
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x) |
(/ (- x 1/9) x) |
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x) |
(/ (- x 1/9) x) |
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x) |
1 |
#s(literal 1 binary64) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x) |
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal -1/9 binary64)) x) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal -1/9 binary64)) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal -1/9 binary64)) x)) |
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal -1/9 binary64)) x)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(- 1 (* 1/9 (/ 1 x))) |
(/.f64 (+.f64 x #s(literal -1/9 binary64)) x) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x)))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 (+.f64 x #s(literal -1/9 binary64)) x)) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal -1/9 binary64)) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal -1/9 binary64)) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal -1/9 binary64)) x) |
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x)) #s(literal -1/9 binary64)) x) |
(* -1/3 (* (sqrt (/ 1 x)) y)) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y)) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1/9 binary64) x)) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1/9 binary64) x)) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1/9 binary64) x)) |
(* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y)) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1/9 binary64) x)) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1/9 binary64) x)) |
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1/9 binary64) x)) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (/.f64 #s(literal -1/9 binary64) x)) |
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(* -1/3 (* (sqrt x) y)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x))) |
(* -1/3 (* (sqrt x) y)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x))) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
| 10 324× | lower-fma.f32 |
| 10 322× | lower-fma.f64 |
| 3 992× | lower-/.f32 |
| 3 980× | lower-/.f64 |
| 3 326× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 223 |
| 0 | 54 | 225 |
| 1 | 236 | 205 |
| 2 | 1772 | 205 |
| 0 | 8789 | 195 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(/.f64 y (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x) |
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) |
(*.f64 x #s(literal -9 binary64)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) |
(*.f64 y #s(literal -1/3 binary64)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)) |
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x) |
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))) |
(/.f64 #s(literal -1/9 binary64) x) |
| Outputs |
|---|
(+.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(+.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)))) (neg.f64 (/.f64 (*.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)))))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)))) (/.f64 (*.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))))) |
(-.f64 (/.f64 (*.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (+.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x) (+.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))))) |
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 y (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/3 binary64)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 #s(literal 1 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)))) (neg.f64 (/.f64 (*.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -1/3 binary64)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1 binary64)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y) #s(literal -1/2 binary64)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x) (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (sqrt.f64 x)))) (fma.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/27 binary64)) (*.f64 x (sqrt.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (-.f64 (*.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)))))) |
(/.f64 (fma.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/27 binary64)) (*.f64 x (sqrt.f64 x)))) (fma.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x))) |
(/.f64 (fma.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/27 binary64)) (*.f64 x (sqrt.f64 x)))) (fma.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x) (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (sqrt.f64 x))))) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x) (*.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)))) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/27 binary64)) (*.f64 x (sqrt.f64 x))))) (neg.f64 (fma.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/27 binary64)) (*.f64 x (sqrt.f64 x))))) (neg.f64 (fma.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x) (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (sqrt.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x) (*.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))))) (neg.f64 (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))))) |
(/.f64 (-.f64 (*.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x)) (+.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/27 binary64)) (*.f64 x (sqrt.f64 x)))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x) (*.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)))))) (neg.f64 (neg.f64 (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)))))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1 binary64))) |
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) |
(/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y))) |
(/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/27 binary64)) (*.f64 x (sqrt.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal -1/9 binary64) x) (*.f64 y y) (*.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))))) |
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 (sqrt.f64 x) y))) |
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x)) (+.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))) |
(pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y) #s(literal -1 binary64)) |
(*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 y (neg.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))) |
(*.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1/3 binary64))) |
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 y) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/3 binary64))) |
(neg.f64 (*.f64 y #s(literal 1/3 binary64))) |
(*.f64 y #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) y) |
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (neg.f64 x))) |
(neg.f64 (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)))) |
(/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))))) |
(/.f64 (neg.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))) (neg.f64 x)) |
(/.f64 (*.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) #s(literal -1 binary64))) x) |
(pow.f64 (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))) #s(literal -1 binary64))) |
(*.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))))) |
(*.f64 (neg.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))))) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))) |
(neg.f64 (neg.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))) |
#s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
(*.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))) |
(*.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))) |
(*.f64 #s(literal -1/3 binary64) (*.f64 y (sqrt.f64 x))) |
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) |
(*.f64 (*.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)) |
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64))))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/9 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal -1/9 binary64))) |
(/.f64 #s(literal -1/9 binary64) x) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64))) |
(/.f64 #s(literal 1/9 binary64) x) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) |
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) |
Compiled 10 967 to 865 computations (92.1% saved)
22 alts after pruning (13 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 827 | 6 | 833 |
| Fresh | 2 | 7 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 5 | 6 |
| Total | 831 | 22 | 853 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.8% | (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
| 66.9% | (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) | |
| ✓ | 65.8% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
| 50.5% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 x (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (*.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x))) | |
| 33.9% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x)) | |
| ✓ | 33.1% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
| 33.1% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))) | |
| 33.2% | #s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) | |
| 27.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) | |
| 41.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) | |
| ✓ | 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
| ✓ | 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
| 27.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) | |
| 27.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) | |
| 59.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) | |
| 27.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) | |
| ✓ | 59.2% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
| ✓ | 59.1% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
| 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) | |
| ✓ | 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) |
| 41.0% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) | |
| ✓ | 27.8% | #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
Compiled 623 to 241 computations (61.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ 1 x) 9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (pow (pow (* x 9) -1/2) 2)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 x (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (*.f64 (fma.f64 y (*.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1/9 binary64)) x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (sqrt.f64 x))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
3 calls:
| 14.0ms | x |
| 13.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ 1 x) 9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (pow (pow (* x 9) -1/2) 2)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
3 calls:
| 12.0ms | x |
| 12.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 11.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ 1 x) 9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (pow (pow (* x 9) -1/2) 2)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
3 calls:
| 12.0ms | y |
| 11.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ 1 x) 9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (pow (pow (* x 9) -1/2) 2)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
| Outputs |
|---|
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
3 calls:
| 11.0ms | x |
| 10.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | y |
| 99.6% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ 1 x) 9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (pow (pow (* x 9) -1/2) 2)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Outputs |
|---|
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
3 calls:
| 13.0ms | x |
| 11.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | x |
| 97.8% | 3 | y |
| 99.3% | 2 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ 1 x) 9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (pow (pow (* x 9) -1/2) 2)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
| Outputs |
|---|
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ 1 x) 9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (pow (pow (* x 9) -1/2) 2)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (/ (/ 1 x) 9)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (- 1 (pow (pow (* x 9) -1/2) 2)) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))) x)) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -1/3 binary64)) y)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (/.f64 y (sqrt.f64 x)) #s(literal -3 binary64))) |
| Outputs |
|---|
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
(-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
3 calls:
| 10.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 9.0ms | x |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 3 | y |
| 80.3% | 3 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 78.6% | 2 | x |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) |
1 calls:
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.2% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.7% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
3 calls:
| 6.0ms | y |
| 4.0ms | x |
| 4.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.2% | 1 | x |
| 59.2% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 59.2% | 1 | y |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64))))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
3 calls:
| 5.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 4.0ms | y |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.2% | 1 | x |
| 59.2% | 1 | y |
| 59.2% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
3 calls:
| 5.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.2% | 1 | x |
| 59.2% | 1 | y |
| 59.2% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
3 calls:
| 4.0ms | y |
| 3.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.1% | 1 | x |
| 59.1% | 1 | y |
| 59.1% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 22 to 16 computations (27.3% saved)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ (/ 1 x) 9)) (/ y (* 3 (sqrt x)))) (/.f64 #s(approx (+ (* (sqrt x) (* y -1/3)) -1/9) #s(literal -1/9 binary64)) x)) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
3 calls:
| 4.0ms | x |
| 2.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.9% | 2 | x |
| 36.3% | 2 | y |
| 59.5% | 2 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 22 to 16 computations (27.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
3 calls:
| 1.0ms | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 27.8% | 1 | y |
| 27.8% | 1 | x |
| 27.8% | 1 | (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
Compiled 22 to 16 computations (27.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | 9.513068992947376e-5 | 0.2438661692121682 |
| 38.0ms | 128× | 0 | valid |
Compiled 227 to 169 computations (25.6% saved)
ival-div: 32.0ms (90.5% of total)ival-sub: 1.0ms (2.8% of total)ival-mult: 1.0ms (2.8% of total)ival-sqrt: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.2438661692121682 | 12.338949378344653 |
| 7.0ms | 112× | 0 | valid |
Compiled 194 to 143 computations (26.3% saved)
ival-div: 1.0ms (21.9% of total)ival-sub: 1.0ms (21.9% of total)ival-mult: 1.0ms (21.9% of total)ival-sqrt: 1.0ms (21.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.513068992947376e-5 | 0.2438661692121682 |
Compiled 219 to 161 computations (26.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 3.581557492109998e+31 | 7.132262155976081e+31 |
| 54.0ms | -5.180991362258104e+60 | -2.192829257085304e+60 |
| 55.0ms | 144× | 0 | valid |
Compiled 226 to 170 computations (24.8% saved)
ival-div: 2.0ms (33.8% of total)ival-mult: 2.0ms (33.8% of total)ival-sub: 1.0ms (16.9% of total)ival-sqrt: 1.0ms (16.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.581557492109998e+31 | 7.132262155976081e+31 |
| 1.0ms | -5.180991362258104e+60 | -2.192829257085304e+60 |
Compiled 217 to 161 computations (25.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.2497902934154818e+49 | 2.086613085824989e+56 |
| 0.0ms | -5.180991362258104e+60 | -2.192829257085304e+60 |
| 14.0ms | 144× | 0 | valid |
Compiled 313 to 227 computations (27.5% saved)
ival-div: 6.0ms (58.8% of total)ival-mult: 2.0ms (19.6% of total)ival-sub: 1.0ms (9.8% of total)ival-sqrt: 1.0ms (9.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.2497902934154818e+49 | 2.086613085824989e+56 |
| 0.0ms | -5.180991362258104e+60 | -2.192829257085304e+60 |
Compiled 313 to 227 computations (27.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.2497902934154818e+49 | 2.086613085824989e+56 |
| 1.0ms | -5.180991362258104e+60 | -2.192829257085304e+60 |
Compiled 313 to 227 computations (27.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1166.9838671777177 | 0.901969143726571 |
Compiled 19 to 17 computations (10.5% saved)
| 1× | egg-herbie |
| 68× | unsub-neg_binary64 |
| 64× | neg-mul-1_binary64 |
| 44× | *-commutative_binary64 |
| 44× | +-commutative_binary64 |
| 38× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 673 |
| 1 | 118 | 673 |
| 2 | 144 | 673 |
| 3 | 175 | 673 |
| 4 | 199 | 673 |
| 5 | 251 | 673 |
| 6 | 333 | 673 |
| 7 | 338 | 673 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 2206763817411543/9007199254740992 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 y #s(literal -4200000000000000215600276059498843558733099881104863221776384 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 70000000000000001954873692127232 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) |
(if (<=.f64 y #s(literal -4200000000000000215600276059498843558733099881104863221776384 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 70000000000000001954873692127232 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -4399999999999999920028164577721671120468634993408517959843840 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (if (<=.f64 y #s(literal 25000000000000002297570877035844559521008614928921133056 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 y #s(literal -4399999999999999920028164577721671120468634993408517959843840 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (if (<=.f64 y #s(literal 25000000000000002297570877035844559521008614928921133056 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))) |
(if (<=.f64 y #s(literal -4399999999999999920028164577721671120468634993408517959843840 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 25000000000000002297570877035844559521008614928921133056 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -1000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
| Outputs |
|---|
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 2206763817411543/9007199254740992 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) (/.f64 #s(literal -1/9 binary64) x))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 x #s(literal 7926335344172073/72057594037927936 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) |
(if (<=.f64 y #s(literal -4200000000000000215600276059498843558733099881104863221776384 binary64)) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 70000000000000001954873692127232 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (-.f64 #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64)) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) |
(if (<=.f64 y #s(literal -4200000000000000215600276059498843558733099881104863221776384 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 70000000000000001954873692127232 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(approx (- 1 (/ 1 (* x 9))) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -4399999999999999920028164577721671120468634993408517959843840 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (if (<=.f64 y #s(literal 25000000000000002297570877035844559521008614928921133056 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))))) |
(if (<=.f64 y #s(literal -4399999999999999920028164577721671120468634993408517959843840 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (if (<=.f64 y #s(literal 25000000000000002297570877035844559521008614928921133056 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))) |
(if (<=.f64 y #s(literal -4399999999999999920028164577721671120468634993408517959843840 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 25000000000000002297570877035844559521008614928921133056 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(approx (- 1 (/ y (* 3 (sqrt x)))) #s(literal 1 binary64))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) |
(if (<=.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -1000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) #s(literal -1000 binary64)) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) (/.f64 #s(literal -1/9 binary64) x))) #s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64)))) |
#s(approx (- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x)))) #s(approx (+ 1 (/ -1/9 x)) #s(literal 1 binary64))) |
| 10 450× | lower-fma.f32 |
| 10 448× | lower-fma.f64 |
| 8 268× | lower-fma.f64 |
| 8 268× | lower-fma.f32 |
| 7 662× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 157 |
| 0 | 48 | 160 |
| 1 | 216 | 137 |
| 2 | 1816 | 137 |
| 0 | 8712 | 131 |
| 0 | 12 | 39 |
| 0 | 19 | 39 |
| 1 | 74 | 33 |
| 2 | 789 | 33 |
| 0 | 8366 | 32 |
| 0 | 65 | 2673 |
| 1 | 164 | 2516 |
| 2 | 408 | 2512 |
| 3 | 1077 | 2512 |
| 4 | 3610 | 2512 |
| 5 | 6910 | 2512 |
| 0 | 8065 | 2387 |
| 0 | 55 | 660 |
| 1 | 129 | 660 |
| 2 | 304 | 659 |
| 3 | 778 | 659 |
| 4 | 1976 | 659 |
| 5 | 3988 | 659 |
| 6 | 5217 | 659 |
| 7 | 6399 | 659 |
| 8 | 7521 | 659 |
| 9 | 7907 | 659 |
| 0 | 8011 | 638 |
| 0 | 91 | 3169 |
| 1 | 261 | 3169 |
| 2 | 782 | 3145 |
| 3 | 2063 | 3145 |
| 4 | 5219 | 3145 |
| 5 | 7733 | 3145 |
| 0 | 8623 | 2964 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 811 to 413 computations (49.1% saved)
Compiled 738 to 192 computations (74% saved)
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